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Phase transition of a Bose gas in a harmonic potential

Kedar Damle, T. Senthil, Satya N. Majumdar, Subir Sachdev A

Published Jan 1, 1996• 20 citations
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Abstract

Download details: IP Address: 129.175.97.14 The article was downloaded on 06/01/2011 at 10:22 Please note that terms and conditions apply. View the table of contents for this issue, or go to the journal homepage for more

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Quantum phase transitions in Bose-Fermi systems

D. Petrellis, A. Leviatan, FRANCESCO IACHELLO

This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues. Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited. In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier’s archiving and manuscript policies are encouraged to visit:

•Jan 6, 2016•46 citations

Physics in the Complex Domain

Carl M. Bender

first_page settings Order Article Reprints Font Type: Arial Georgia Verdana Font Size: Aa Aa Aa Line Spacing:    Column Width:    Background: Open AccessAbstract Physics in the Complex Domain † by Carl M. Bender Physics Department, Washington University, St. Louis, MO 63130, USA † Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017. Proceedings 2018, 2(1), 47; https://doi.org/10.3390/proceedings2010047 Published: 3 January 2018 (This article belongs to the Proceedings of The First International Conference on Symmetry) Download Download PDF Download PDF with Cover Download XML Versions Notes The theory of complex variables is extremely useful because it helps to explain the mathematical behavior of functions of a real variable. Complex variable theory also provides insight into the nature of physical theories. For example, it provides a simple and beautiful picture of quantization and it explains the underlying reason for the divergence of perturbation theory. By using complex-variable methods, one can generalize conventional Hermitian quantum theories into the complex domain. The result is a new class of parity-time-symmetric (PT-symmetric) theories whose remarkable physical properties have been studied and verified in many recent laboratory experiments. © 2018 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Share and Cite MDPI and ACS Style Bender, C.M. Physics in the Complex Domain. Proceedings 2018, 2, 47. https://doi.org/10.3390/proceedings2010047 AMA Style Bender CM. Physics in the Complex Domain. Proceedings. 2018; 2(1):47. https://doi.org/10.3390/proceedings2010047 Chicago/Turabian Style Bender, Carl M. 2018. "Physics in the Complex Domain" Proceedings 2, no. 1: 47. https://doi.org/10.3390/proceedings2010047 Find Other Styles Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here. Article Metrics No No Article Access Statistics Multiple requests from the same IP address are counted as one view.

International Conference on Symmetry (Symmetry)•Jan 3, 2018•0 citations
This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues. Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited. In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier’s archiving and manuscript policies are encouraged to visit:
first_page settings Order Article Reprints Font Type: Arial Georgia Verdana Font Size: Aa Aa Aa Line Spacing:    Column Width:    Background: Open AccessAbstract Physics in the Complex Domain † by Carl M. Bender Physics Department, Washington University, St. Louis, MO 63130, USA † Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017. Proceedings 2018, 2(1), 47; https://doi.org/10.3390/proceedings2010047 Published: 3 January 2018 (This article belongs to the Proceedings of The First International Conference on Symmetry) Download Download PDF Download PDF with Cover Download XML Versions Notes The theory of complex variables is extremely useful because it helps to explain the mathematical behavior of functions of a real variable. Complex variable theory also provides insight into the nature of physical theories. For example, it provides a simple and beautiful picture of quantization and it explains the underlying reason for the divergence of perturbation theory. By using complex-variable methods, one can generalize conventional Hermitian quantum theories into the complex domain. The result is a new class of parity-time-symmetric (PT-symmetric) theories whose remarkable physical properties have been studied and verified in many recent laboratory experiments. © 2018 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Share and Cite MDPI and ACS Style Bender, C.M. Physics in the Complex Domain. Proceedings 2018, 2, 47. https://doi.org/10.3390/proceedings2010047 AMA Style Bender CM. Physics in the Complex Domain. Proceedings. 2018; 2(1):47. https://doi.org/10.3390/proceedings2010047 Chicago/Turabian Style Bender, Carl M. 2018. "Physics in the Complex Domain" Proceedings 2, no. 1: 47. https://doi.org/10.3390/proceedings2010047 Find Other Styles Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here. Article Metrics No No Article Access Statistics Multiple requests from the same IP address are counted as one view.