On the Hydrodynamic Approach to the Schrodinger Equation

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_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.