Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Long Distance Asymptotics of Temperature Correlalators of the Impenetrable Bose Gas

Alexander Rudol'fovich Its

Published Jan 1, 1989• 0 citations
OpenAlex

Abstract

<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dwindows-1252"> <meta name=3DGenerator content=3D"Microsoft Word 11"> <meta name=3DOriginator content=3D"Microsoft Word 11"> <link rel=3DFile-List href=3D"IC_89_139_archivos/filelist.xml"> RESUMEN <!--[if gte mso 9]> Un usuario de Microsoft Office satisfecho. Normal Biblioteca de Ciencias y Tecnología 2 56 2006-03-13T20:51:00Z 2006-03-13T20:51:00Z 1 53 296 UCLA 2 1 348 11.6568 <![endif]--><!--[if gte mso 9]> 75 Clean Clean 21 false false false MicrosoftInternetExplorer4 <![endif]--><!--[if gte mso 9]> <![endif]--> <!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";} span.SpellE {mso-style-name:""; mso-spl-e:yes;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} /* List Definitions */ @list l0 {mso-list-id:665935979; mso-list-template-ids:1870185836;} @list l0:level1 {mso-level-number-format:bullet; mso-level-text:\F0B7; mso-level-tab-stop:36.0pt; mso-level-number-position:left; text-indent:-18.0pt; mso-ansi-font-size:10.0pt; font-family:Symbol;} @list l1 {mso-list-id:1584024425; mso-list-type:hybrid; mso-list-template-ids:-1703523192 657982034 201981955 201981957 201981953 201981955 201981957 201981953 201981955 201981957;} @list l1:level1 {mso-level-number-format:bullet; mso-level-text:\F0B7; mso-level-tab-stop:36.0pt; mso-level-number-position:left; text-indent:-18.0pt; font-family:Symbol; color:windowtext;} @list l1:level2 {mso-level-tab-stop:72.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level3 {mso-level-tab-stop:108.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level4 {mso-level-tab-stop:144.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level5 {mso-level-tab-stop:180.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level6 {mso-level-tab-stop:216.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level7 {mso-level-tab-stop:252.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level8 {mso-level-tab-stop:288.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level9 {mso-level-tab-stop:324.0pt; mso-level-number-position:left; text-indent:-18.0pt;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> <!--[if gte mso 10]> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} <![endif]--> RESUMEN The inverse scattering method is applied to the integrable nonlinear system describing temperature correlators of the impenetrable bosons in one space dimension. The corresponding matrix Riemann problems are constructed for two-point as well as for multi-point correlators. Long-distance asymptotics of two-point correlators is calculated.

Related papers

A quantum based local search enhanced particle swarm optimization for binary spaces

Fehmi Burçin Özsoydan

Normal 0 false false false TR X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Normal Tablo"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri",sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-ansi-language:TR;} Parçacık Sürü Optimizasyonu (PSO), problem çözmede balık veya kuş sürülerinin hareketlerini taklit eden, oldukça bilinen sürü zekâsı tabanlı bir algoritmadır. İlk olarak kısıtsız global optimizasyon problemlerini çözmek için önerilse de, çeşitli problem tiplerini içeren çok sayıda PSO çalışması mevcuttur. Fakat bununla birlikte, ilgili bilimsel yazından görülebileceği gibi, diğer uygulama türleriyle karşılaştırıldığında, kesikli ve 0-1 yapıdaki PSO uygulamaları görece daha az sayıdadır. Bu bağlamda, mevcut araştırmada, kuantum tabanlı yerel arama yordamı ile güçlendirilmiş bir 0-1 PSO modifikasyonu getirilmiştir. Bahsedilen kuantum tabanlı prosedür, algoritma tarafından bulunan eniyi çözüm etrafında üretilen bir küre içinde konumlanan ve kuantum parçacıkları olarak adlandırılan rastgele dağıtılmış parçacıklar üretir. Ardından bu parçacıklar, bulunan eniyi çözüm üzerinde olası iyileştirmeler sağlayabilmek için yerel arama amacıyla kullanılır. Önerilen yaklaşımın performansı, bu alanda sıkça kullanılan Bir-Enb, Aldatıcı, Plato ve Kral Yolu fonksiyonlarından oluşan bir 0-1 problem seti kullanılarak test edilmiştir. Deneysel çalışma, önerilen yaklaşımın 0-1 problemlerdeki etkinliğini göstermektedir.

•Nov 8, 2017•0 citations

Density matrix of binary Bose-liquid in the approximation of correlations

I. O. Vakarchuk, V. Pastukhov

ПОВНА МАТРИЦЯ ГУСТИНИ ДВОКОМПОНЕНТНОЇ БОЗЕ-РIДИНИ В НАБЛИЖЕННI ПАРНИХ КОРЕЛЯЦIЙ I. О. Вакарчук, В. С. Пастухов Кафедра теоретичної фiзики Львiвського нацiонального унiверситету iменi Iвана Франка, вул.Драгоманова, 12, Львiв, 79005, Україна (Отримано 25 травня 2007 р.; в остаточному виглядi 10 вересня 2007 р.)Знайдено повну матрицю густини двокомпонентної бозе-рiдини в наближеннi парних кореляцiй, у якiй явно видiленi точнi вирази матриць густини iдеальних пiдсистем.У такий спосiб ефективно враховується внесок вiд вищих кореляцiй.Показано узгодженiсть отриманого виразу для межi низьких температур i переходу до теорiї класичних неiдеальних систем ( → 0).У наступнiй статтi ми плануємо розрахувати s-частинковi матрицi густини й дослiдити термодинамiчнi властивостi двокомпонентної бозе-рiдини, особливо дiлянку фазового розшарування, та вплив домiшки на явище Бозе-Айнштайнiвської конденсацiї.

Journal of Physical Studies•Jan 1, 2008•2 citations

On the Hydrodynamic Approach to the Schrodinger Equation

Damián H. Zanette

<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dwindows-1252"> <meta name=3DGenerator content=3D"Microsoft Word 11"> <meta name=3DOriginator content=3D"Microsoft Word 11"> <link rel=3DFile-List href=3D"IC_89_10_archivos/filelist.xml"> RESUMEN <!--[if gte mso 9]> Un usuario de Microsoft Office satisfecho. Normal Biblioteca de Ciencias y Tecnología 3 3 2006-02-20T13:06:00Z 2006-02-20T13:19:00Z 1 56 309 UCLA 2 1 364 11.6568 <![endif]--><!--[if gte mso 9]> 0 Clean Clean 21 false false false MicrosoftInternetExplorer4 <![endif]--><!--[if gte mso 9]> <![endif]--> <!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:ES-VE; mso-fareast-language:ES-VE;} span.SpellE {mso-style-name:""; mso-spl-e:yes;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} /* List Definitions */ @list l0 {mso-list-id:1399013862; mso-list-type:hybrid; mso-list-template-ids:-1000807380 70317156 201981955 201981957 201981953 201981955 201981957 201981953 201981955 201981957;} @list l0:level1 {mso-level-number-format:bullet; mso-level-text:\F0B7; mso-level-tab-stop:36.0pt; mso-level-number-position:left; text-indent:-18.0pt; font-family:Symbol; color:windowtext;} @list l0:level2 {mso-level-tab-stop:72.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level3 {mso-level-tab-stop:108.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level4 {mso-level-tab-stop:144.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level5 {mso-level-tab-stop:180.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level6 {mso-level-tab-stop:216.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level7 {mso-level-tab-stop:252.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level8 {mso-level-tab-stop:288.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level9 {mso-level-tab-stop:324.0pt; mso-level-number-position:left; text-indent:-18.0pt;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> <!--[if gte mso 10]> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} <![endif]--> RESUMEN The classical limit of the Schrodinger equation is analyzed in the frame of its hydrodynamical formulation. In that limit the probability density develops shock waves, clearly contradicting the exact result. By an approximated analysis in the point on which these discontinuities appear, it is shown that their formulation is inhibited by quantum effects.

•Jan 1, 1989•0 citations

Bose—Einstein凝聚相干输出的量子多体理论:I.因子化与原子相干

孙昌璞, 苗元秀

基于热力学极限下的Bogoliubov近似,提出了描述磁阱陷中Bose型原子输出到自由传播了模式的线性量子多体理论。证明如果阱陷中的原子开始处于Bose-Einstein凝聚状态,由于演化波函数的因子化结构,输出的原子将处于一个由多体相干态描述的宏观量子态上,即输出的原子束是相干的。该理论给出了计算输出原子谱分布及至空间分布的一般公式。

Progress in Natural Science Materials International•Jan 1, 1999•0 citations

Path Integral Solution for some Time-Dependient Potential

S. N. Storchak

<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dwindows-1252"> <meta name=3DGenerator content=3D"Microsoft Word 11"> <meta name=3DOriginator content=3D"Microsoft Word 11"> <link rel=3DFile-List href=3D"IC_89_367yatodo_archivos/filelist.xml"> RESUMEN <!--[if gte mso 9]> Un usuario de Microsoft Office satisfecho. Normal Un usuario de Microsoft Office satisfecho. 2 2 2004-06-23T15:40:00Z 2004-06-23T15:40:00Z 1 44 243 UCLA 2 1 286 11.6568 <![endif]--><!--[if gte mso 9]> 0 Clean Clean 21 false false false MicrosoftInternetExplorer4 <![endif]--><!--[if gte mso 9]> <![endif]--> <!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";} span.SpellE {mso-style-name:""; mso-spl-e:yes;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} --> <!--[if gte mso 10]> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} <![endif]--> RESUMEN The quantum-mechanical problem with a time-dependent potencial is solved by the path integral method. The solution is obtained by the application of the previously derived general formula for rheonomic homogeneous point transformation and reparametrization in the path integral.

•Jan 1, 1989•0 citations

O operador evolução

Antonio Fernando Prado de Andrade

Normal 0 21 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabela normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} In this work we intend to develop the Mathematical Formalism of Non-Relativistic Quantum Mechanics in terms of two Basics Operators: Evolution Operator, and Density Operator and some of its properties. This article has didactic purposes.

Semina Ciências Sociais e Humanas•Nov 29, 1983•0 citations
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dwindows-1252"> <meta name=3DGenerator content=3D"Microsoft Word 11"> <meta name=3DOriginator content=3D"Microsoft Word 11"> <link rel=3DFile-List href=3D"IC_89_139_archivos/filelist.xml"> RESUMEN <!--[if gte mso 9]> Un usuario de Microsoft Office satisfecho. Normal Biblioteca de Ciencias y Tecnología 2 56 2006-03-13T20:51:00Z 2006-03-13T20:51:00Z 1 53 296 UCLA 2 1 348 11.6568 <![endif]--><!--[if gte mso 9]> 75 Clean Clean 21 false false false MicrosoftInternetExplorer4 <![endif]--><!--[if gte mso 9]> <![endif]--> <!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";} span.SpellE {mso-style-name:""; mso-spl-e:yes;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} /* List Definitions */ @list l0 {mso-list-id:665935979; mso-list-template-ids:1870185836;} @list l0:level1 {mso-level-number-format:bullet; mso-level-text:\F0B7; mso-level-tab-stop:36.0pt; mso-level-number-position:left; text-indent:-18.0pt; mso-ansi-font-size:10.0pt; font-family:Symbol;} @list l1 {mso-list-id:1584024425; mso-list-type:hybrid; mso-list-template-ids:-1703523192 657982034 201981955 201981957 201981953 201981955 201981957 201981953 201981955 201981957;} @list l1:level1 {mso-level-number-format:bullet; mso-level-text:\F0B7; mso-level-tab-stop:36.0pt; mso-level-number-position:left; text-indent:-18.0pt; font-family:Symbol; color:windowtext;} @list l1:level2 {mso-level-tab-stop:72.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level3 {mso-level-tab-stop:108.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level4 {mso-level-tab-stop:144.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level5 {mso-level-tab-stop:180.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level6 {mso-level-tab-stop:216.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level7 {mso-level-tab-stop:252.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level8 {mso-level-tab-stop:288.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l1:level9 {mso-level-tab-stop:324.0pt; mso-level-number-position:left; text-indent:-18.0pt;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> <!--[if gte mso 10]> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} <![endif]--> RESUMEN The inverse scattering method is applied to the integrable nonlinear system describing temperature correlators of the impenetrable bosons in one space dimension. The corresponding matrix Riemann problems are constructed for two-point as well as for multi-point correlators. Long-distance asymptotics of two-point correlators is calculated.
Normal 0 false false false TR X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Normal Tablo"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri",sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-ansi-language:TR;} Parçacık Sürü Optimizasyonu (PSO), problem çözmede balık veya kuş sürülerinin hareketlerini taklit eden, oldukça bilinen sürü zekâsı tabanlı bir algoritmadır. İlk olarak kısıtsız global optimizasyon problemlerini çözmek için önerilse de, çeşitli problem tiplerini içeren çok sayıda PSO çalışması mevcuttur. Fakat bununla birlikte, ilgili bilimsel yazından görülebileceği gibi, diğer uygulama türleriyle karşılaştırıldığında, kesikli ve 0-1 yapıdaki PSO uygulamaları görece daha az sayıdadır. Bu bağlamda, mevcut araştırmada, kuantum tabanlı yerel arama yordamı ile güçlendirilmiş bir 0-1 PSO modifikasyonu getirilmiştir. Bahsedilen kuantum tabanlı prosedür, algoritma tarafından bulunan eniyi çözüm etrafında üretilen bir küre içinde konumlanan ve kuantum parçacıkları olarak adlandırılan rastgele dağıtılmış parçacıklar üretir. Ardından bu parçacıklar, bulunan eniyi çözüm üzerinde olası iyileştirmeler sağlayabilmek için yerel arama amacıyla kullanılır. Önerilen yaklaşımın performansı, bu alanda sıkça kullanılan Bir-Enb, Aldatıcı, Plato ve Kral Yolu fonksiyonlarından oluşan bir 0-1 problem seti kullanılarak test edilmiştir. Deneysel çalışma, önerilen yaklaşımın 0-1 problemlerdeki etkinliğini göstermektedir.
ПОВНА МАТРИЦЯ ГУСТИНИ ДВОКОМПОНЕНТНОЇ БОЗЕ-РIДИНИ В НАБЛИЖЕННI ПАРНИХ КОРЕЛЯЦIЙ I. О. Вакарчук, В. С. Пастухов Кафедра теоретичної фiзики Львiвського нацiонального унiверситету iменi Iвана Франка, вул.Драгоманова, 12, Львiв, 79005, Україна (Отримано 25 травня 2007 р.; в остаточному виглядi 10 вересня 2007 р.)Знайдено повну матрицю густини двокомпонентної бозе-рiдини в наближеннi парних кореляцiй, у якiй явно видiленi точнi вирази матриць густини iдеальних пiдсистем.У такий спосiб ефективно враховується внесок вiд вищих кореляцiй.Показано узгодженiсть отриманого виразу для межi низьких температур i переходу до теорiї класичних неiдеальних систем ( → 0).У наступнiй статтi ми плануємо розрахувати s-частинковi матрицi густини й дослiдити термодинамiчнi властивостi двокомпонентної бозе-рiдини, особливо дiлянку фазового розшарування, та вплив домiшки на явище Бозе-Айнштайнiвської конденсацiї.
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dwindows-1252"> <meta name=3DGenerator content=3D"Microsoft Word 11"> <meta name=3DOriginator content=3D"Microsoft Word 11"> <link rel=3DFile-List href=3D"IC_89_10_archivos/filelist.xml"> RESUMEN <!--[if gte mso 9]> Un usuario de Microsoft Office satisfecho. Normal Biblioteca de Ciencias y Tecnología 3 3 2006-02-20T13:06:00Z 2006-02-20T13:19:00Z 1 56 309 UCLA 2 1 364 11.6568 <![endif]--><!--[if gte mso 9]> 0 Clean Clean 21 false false false MicrosoftInternetExplorer4 <![endif]--><!--[if gte mso 9]> <![endif]--> <!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:ES-VE; mso-fareast-language:ES-VE;} span.SpellE {mso-style-name:""; mso-spl-e:yes;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} /* List Definitions */ @list l0 {mso-list-id:1399013862; mso-list-type:hybrid; mso-list-template-ids:-1000807380 70317156 201981955 201981957 201981953 201981955 201981957 201981953 201981955 201981957;} @list l0:level1 {mso-level-number-format:bullet; mso-level-text:\F0B7; mso-level-tab-stop:36.0pt; mso-level-number-position:left; text-indent:-18.0pt; font-family:Symbol; color:windowtext;} @list l0:level2 {mso-level-tab-stop:72.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level3 {mso-level-tab-stop:108.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level4 {mso-level-tab-stop:144.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level5 {mso-level-tab-stop:180.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level6 {mso-level-tab-stop:216.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level7 {mso-level-tab-stop:252.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level8 {mso-level-tab-stop:288.0pt; mso-level-number-position:left; text-indent:-18.0pt;} @list l0:level9 {mso-level-tab-stop:324.0pt; mso-level-number-position:left; text-indent:-18.0pt;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> <!--[if gte mso 10]> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} <![endif]--> RESUMEN The classical limit of the Schrodinger equation is analyzed in the frame of its hydrodynamical formulation. In that limit the probability density develops shock waves, clearly contradicting the exact result. By an approximated analysis in the point on which these discontinuities appear, it is shown that their formulation is inhibited by quantum effects.
基于热力学极限下的Bogoliubov近似,提出了描述磁阱陷中Bose型原子输出到自由传播了模式的线性量子多体理论。证明如果阱陷中的原子开始处于Bose-Einstein凝聚状态,由于演化波函数的因子化结构,输出的原子将处于一个由多体相干态描述的宏观量子态上,即输出的原子束是相干的。该理论给出了计算输出原子谱分布及至空间分布的一般公式。
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dwindows-1252"> <meta name=3DGenerator content=3D"Microsoft Word 11"> <meta name=3DOriginator content=3D"Microsoft Word 11"> <link rel=3DFile-List href=3D"IC_89_367yatodo_archivos/filelist.xml"> RESUMEN <!--[if gte mso 9]> Un usuario de Microsoft Office satisfecho. Normal Un usuario de Microsoft Office satisfecho. 2 2 2004-06-23T15:40:00Z 2004-06-23T15:40:00Z 1 44 243 UCLA 2 1 286 11.6568 <![endif]--><!--[if gte mso 9]> 0 Clean Clean 21 false false false MicrosoftInternetExplorer4 <![endif]--><!--[if gte mso 9]> <![endif]--> <!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";} span.SpellE {mso-style-name:""; mso-spl-e:yes;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} --> <!--[if gte mso 10]> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} <![endif]--> RESUMEN The quantum-mechanical problem with a time-dependent potencial is solved by the path integral method. The solution is obtained by the application of the previously derived general formula for rheonomic homogeneous point transformation and reparametrization in the path integral.
Normal 0 21 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabela normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} In this work we intend to develop the Mathematical Formalism of Non-Relativistic Quantum Mechanics in terms of two Basics Operators: Evolution Operator, and Density Operator and some of its properties. This article has didactic purposes.