On the time evolution operator for time-dependent quadratic Hamiltonians

DOI10.1063/1.528284zbMath0673.46052OpenAlexW2042741647MaRDI QIDQ3827101

Francisco M. Fernández

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528284

zbMATH Keywords

Heisenberg equations of motionoccupation number representationproduct of exponential operatorsSchrödinger equation with a time-dependent quadratic Hamiltoniantime- evolution operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Miscellaneous applications of functional analysis (46N99)

Related Items (1)

Hamiltonians for Ising-type quantum networks

Cites Work

• Exact Quantum Dynamical Solutions for Oscillator-Like Systems
• Lie Algebraic Solution of Linear Differential Equations
• On the exponential solution of differential equations for a linear operator

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