Non-adiabatic quantum evolution: the S matrix as a geometrical phase factor

DOI10.1016/J.PHYSLETA.2012.02.054zbMath1260.81113OpenAlexW2095481846MaRDI QIDQ1947682

Y. Saadi, Mustapha Maamache

Publication date: 23 April 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2012.02.054

zbMATH Keywords

continuous spectrumscattering matrixgeometrical phaseLewis and Riesenfeld theorynon-adiabatic evolution

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Analysis of adiabatic approximation using stable Hamiltonian method

Cites Work

• Classical-quantum interface of a particle in a time-dependent linear potential
• Quantum kinematic approach to the geometric phase. II: The case of unitary group representations
• Quantal phase factors accompanying adiabatic changes
• Smatrix as geometric phase factor
• Exact Quantization Conditions. II
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