Eisenhart lifts and symmetries of time-dependent systems
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- 作者：M. Carigliaa ; b ; marco@iceb.ufop.br" class="auth_mail" title="E-mail the corresponding author ; C. Duvalc ; duval@cpt.univ-mrs.fr" class="auth_mail" title="E-mail the corresponding author ; G.W. Gibbonsd ; e ; G.W.Gibbons@damtp.cam.ac.uk" class="auth_mail" title="E-mail the corresponding author ; P.A. Horvá ; thye ; f ; horvathy@lmpt.univ-tours.fr" class="auth_mail" title="E-mail the corresponding author
- 关键词：Caldirola&ndash ; Kanai model ; Damped oscillator ; Bargmann space ; Eisenhart lift ; Hubble model ; Dmitriev&ndash ; Zel&rsquo ; dovich equations
- 刊名：Annals of Physics
- 出版年：2016
- 出版时间：October 2016
- 年：2016
- 卷：373
- 期：Complete
- 页码：631-654
- 全文大小：578 K
文摘
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Eisenhart lift technique used to describe time-dependent Hamiltonian systems.
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Discussion of quantisation, projective and conformal symmetries.
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Bargmann lift of the Arnold transform studied, in particular symmetries of the damped oscillator.
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Emergence of Schrödinger equation using Quantum Field Theory techniques in curved spacetime.
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Hubble friction discussed.