Phase-space propagators for quantum quadratic Hamiltonians in one and two dimensions

DOI10.1007/BF00674350zbMath0664.58051OpenAlexW2047152785MaRDI QIDQ1114985

J. M. Noriega, Luis-Miguel Nieto

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00674350

zbMATH Keywords

propagatorsquantum mechanics in phase spaceMoshinsky-Winternitz classificationtime-independent quadratic Hamiltonians

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Applications of PDEs on manifolds (58J90) General mathematical topics and methods in quantum theory (81Q99)

Cites Work

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• When is the Wigner quasi-probability density non-negative?
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
• Algebras of distributions suitable for phase-space quantum mechanics. I
• Quadratic Hamiltonians in phase space and their eigenstates
• On the Quantum Correction For Thermodynamic Equilibrium

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