Symplectic Schrödinger equation for many-body systems-Reference-Cited by-同舟云学术

Symplectic Schrödinger equation for many-body systems

Published:2020-02-29 Issue:06 Volume:35 Page:2050033
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Amorim R. G. G.¹²³,Fernandes M. C. B.³,Khanna F. C.⁴⁵,Santana A. E.³,Vianna J. D. M.³

Affiliation:

1. Faculdade Gama, Universidade de Brasília, 72444-240, Brasília, DF, Brazil

2. Canadian Quantum Research Center, 204-3002 32 Ave Vernon, BC V1T 2L7, Canada

3. International Center of Physics, Universidade de Brasília, 70910-900, Brasília, DF, Brazil

4. Department of Physics and Astronomy, University of Victoria, 3800 Finnerty Road Victoria, BC V8P 5C2, Canada

5. TRIUMF, 4004, Westbrook Mall, Vancouver, British Columbia V6T 2A3, Canada

Abstract

Using elements of symmetry, as gauge invariance, many aspects of a Schrödinger equation in phase space are analyzed. The number (Fock space) representation is constructed in phase space and the Green function, directly associated with the Wigner function, is introduced as a basic element of perturbative procedure. This phase space representation is applied to the Landau problem and the Liouville potential.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X20500335

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