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Exactly solvable models with time-dependent potentials

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Publication:1858089
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DOI10.1016/S0375-9601(03)00052-5zbMath1008.81019MaRDI QIDQ1858089

A. A. Suz'ko

Publication date: 11 February 2003

Published in: Physics Letters. A (Search for Journal in Brave)


zbMATH Keywords

Schrödinger equation systemtime-dependent periodic Hamiltonianunitary time-dependent transformations


Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)


Related Items

Explicit solutions of matrix and dynamical Schrödinger equations and of KdV equation in terms of square roots of the generalised matrix eigenvalues ⋮ Continuous and discrete dynamical Schrödinger systems: explicit solutions ⋮ Intertwining technique for the matrix Schrödinger equation ⋮ Quantum computing in exactly solvable models and geometric phases



Cites Work

  • Ermakov systems, exact solution, and geometrical angles and phases
  • Quantal phase factors accompanying adiabatic changes
  • Avoided crossings of the quartic oscillator
  • Coherent states for transparent potentials
  • Exact Quantization Conditions. II
  • Motion in a Constant Magnetic Field
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