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Time-dependent linear Hamiltonian systems and quantum mechanics

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Publication:1924263
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DOI10.1007/BF00398314zbMath0857.34002OpenAlexW2000995331MaRDI QIDQ1924263

Jorge Rezende

Publication date: 14 October 1996

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

Full work available at URL: https://doi.org/10.1007/bf00398314


zbMATH Keywords

explicit solutionsSchrödinger equationkernel of the evolution operatorLewis and Riesenfeld theorytime-dependent linear Hamiltonian systems


Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)


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The time-dependent quartic oscillator --- a Feynman path integral approach ⋮ Global propagation of massive quantum fields in the plane gravitational waves and electromagnetic backgrounds



Cites Work

  • Feynman integrals and Fredholm determinants
  • Exact Quantization Conditions. II
  • On the exponential solution of differential equations for a linear operator
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