Exact Solutions of the Time Dependent Schroedinger Equation in One Space Dimension

Details Exact Solutions of the Time Dependent Schroedinger Equation in One Space Dimension Exact Solutions of the Time Dependent Schroedinger Equation in One Space Dimension

2002-11-08

arxiv.org/abs/quant-ph/0211040v1

Physics

Quantum Physics

4 pages

Scientific paper

A closed expression for the harmonic oscillator wave function after the passage of a linear signal with arbitrary time dependence is derived. Transition probabilities are simple to express in terms of Laguerre polynomials. Spontaneous transitions are neglected. The exact result is of some interest for the physics of short laser pulses, since it may serve as an accuracy test for numerical methods.

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