Path Integrals with Kinetic Coupling Potentials

Details Path Integrals with Kinetic Coupling Potentials Path Integrals with Kinetic Coupling Potentials

1998-08-10

arxiv.org/abs/quant-ph/9808016v1

Physics

Quantum Physics

8 pages., LateX, 1 figure (postscript)

Scientific paper

10.1023/A:1021149710668

Path integral solutions with kinetic coupling potentials $\propto p_1p_2$ are
evaluated. As examples I give a Morse oscillator, i.e., a model in molecular
physics, and the double pendulum in the harmonic approximation. The former is
solved by some well-known path integral techniques, whereas the latter by an
affine transformation.

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