Lagrangian description of Heisenberg and Landau–von Neumann equations of motion-Reference-Cited by-同舟云学术

Lagrangian description of Heisenberg and Landau–von Neumann equations of motion

Published:2020-04-28 Issue:19 Volume:35 Page:2050161
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Ciaglia F. M.¹,Di Cosmo F.²³,Ibort A.²³,Marmo G.⁴⁵,Schiavone L.³⁶,Zampini A.⁶⁷

Affiliation:

1. Max Planck Institute for Mathematics in the Sciences, Inselstraße 22, 04103 Leipzig, Germany

2. Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM) ICMAT, Campus Cantoblanco UAM, C/Nicolás Cabrera, 13-15, 28049 Madrid, Spain

3. Departamento de Matemáticas, Univ. Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, Madrid, Spain

4. Dipartimento di Fisica E. Pancini dell Università Federico II di Napoli, Complesso Universitario di Monte S. Angelo, via Cintia 80126, Naples, Italy

5. INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, via Cintia 80126 Naples, Italy

6. Dipartimento di Matematica e Applicazioni “R. Caccioppoli” dell’Università di Napoli Federico II, Complesso Universitario di Monte S. Angelo, via Cintia 80126, Naples, Italy

7. INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, via Cintia, 80126 Naples, Italy

Abstract

An explicit Lagrangian description is given for the Heisenberg equation on the algebra of operators of a quantum system, and for the Landau–von Neumann equation on the manifold of quantum states which are isospectral with respect to a fixed reference quantum state.

Funder

MINECO

Spanish Ministry of Economy and Competitiveness

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732320501618

Reference34 articles.

1. Geometrical Formulation of Quantum Mechanics

2. Contact Hamiltonian mechanics

3. The Feynman problem and the inverse problem for Poisson dynamics

4. Geometrization of quantum mechanics

5. Geometry from Dynamics, Classical and Quantum

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