Consistency between adiabatic and non-adiabatic geometric phases for non-self-adjoint Hamiltonians

DOI10.1088/1751-8113/45/33/335301zbMath1252.81070OpenAlexW2131503545MaRDI QIDQ2911008

David Viennot, Arnaud Leclerc, John P. Killingbeck, Georges Jolicard

Publication date: 12 September 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/45/33/335301

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (2)

Consistency between adiabatic and nonadiabatic geometric phases for nonselfadjoint hamiltonians ⋮ Adiabatic theorem and generalized geometrical phase in the case of pseudo-Hermitian systems

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