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math-ph2011★ 1 cited
Exact Wave Functions for Generalized Harmonic Oscillators
Nathan Lanfear, Raquel M. Lopez, Sergei K. Suslov
We transform the time-dependent Schroedinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time-evolution of exact…
math-ph2009★ 22 cited
The time-dependent Schroedinger equation, Riccati equation and Airy functions
Nathan Lanfear, Sergei K. Suslov
We construct the Green functions (or Feynman's propagators) for the Schroedinger equations of the form in terms of Airy functions and solve the Ca…