REDUCTION PROCEDURES IN CLASSICAL AND QUANTUM MECHANICS

Author:

CARIÑENA JOSÉ F.1,CLEMENTE-GALLARDO JESÚS2,MARMO GIUSEPPE3

Affiliation:

1. Departamento de Física Teórica, Universidad de Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain

2. Instituto de Biocomputación y Física de los Sistemas Complejos, Universidad de Zaragoza, Corona de Aragón 42, 50009 Zaragoza, Spain

3. Dipartamento di Física Teorica, Universitá Federico II and INFN sezione di Napoli, Via Cintia I, 81526 Napoli, Italy

Abstract

We present, in a pedagogical style, many instances of reduction procedures appearing in a variety of physical situations, both classical and quantum. We concentrate on the essential aspects of any reduction procedure, both in the algebraic and geometrical setting, elucidating the analogies and the differences between the classical and the quantum situations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

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1. Quantum generalized Calogero–Moser systems from free Hamiltonian reduction;Physica D: Nonlinear Phenomena;2023-12

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