Quantum covariant derivative: a tool for deriving adiabatic perturbation theory to all orders
DOI10.1088/1751-8121/ad0349OpenAlexW4387605989MaRDI QIDQ6059141
Publication date: 2 November 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8121/ad0349
covariant derivativeadiabatic perturbation theoryadiabatic quantum dynamicsnonlinear response properties
Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Derivatives of functions in infinite-dimensional spaces (46G05) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Other generalizations (nonlinear potential theory, etc.) (31C45) Response surface designs (62K20)
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