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• W2108501029 abstract "odinger equation with a time-dependent Hamiltonian operator for the forced harmonic oscillator. The corresponding Green function (propagator) is derived with the help of the generalized Fourier transform and a relation with representations of the Heisenberg‐Weyl group N (3) in a certain special case first, and then is extended to the general case. A three parameter extension of the classical Fourier integral is discussed as a by-product. Motion of a particle with a spin in uniform perpendicular magnetic and electric fields is considered as an application; a transition amplitude between Landau levels is evaluated in terms of Charlier polynomials. In addition, we also solve an initial value problem to a similar diffusion-type equation." @default.
• W2108501029 created "2016-06-24" @default.
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• W2108501029 date "2009-12-01" @default.
• W2108501029 modified "2023-10-18" @default.
• W2108501029 title "The Cauchy problem for a forced harmonic oscillator" @default.
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