Geometric phase in a time-dependent system with Laguerre polynomial State

DOI10.1007/s10773-009-0232-6zbMath1187.81147OpenAlexW2033334971MaRDI QIDQ965794

An-Ling Wang, Fu-Ping Liu, Zhao-Xian Yu

Publication date: 26 April 2010

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-0232-6

zbMATH Keywords

geometric phaseLaguerre polynomial state

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

• Parallel transport and ``quantum holonomy along density operators
• Quantum kinematic approach to the geometric phase. I: General formalism
• Laguerre polynomial states in single-mode Fock space
• High-order quantum adiabatic approximation and Berry's phase factor
• Quantal phase factors accompanying adiabatic changes
• Lie Algebraic Solution of Linear Differential Equations

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