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quant-ph2003
Noether conservation laws in quantum mechanics
G. Sardanashvily
Being quantized, conserved Noether symmetry functions are represented by Hermitian operators in the space of solutions of the Schrodinger equation, and their mean values are conser…
quant-ph2002
Non-adiabatic holonomy operators in classical and quantum completely integrable systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Given a completely integrable system, we associate to any connection on its invariant tori fibred over a parameter manifold the classical and quantum holonomy operator (generalized…
quant-ph2000
Quantum Jacobi fields in Hamiltonian mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Jacobi fields of classical solutions of a Hamiltonian mechanical system are quantized in the framework of vertical-extended Hamiltonian formalism. Quantum Jacobi fields characteriz…