English

Path Integrals with Kinetic Coupling Potentials

Quantum Physics 2009-10-31 v1

Abstract

Path integral solutions with kinetic coupling potentials p1p2\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.

Keywords

Cite

@article{arxiv.quant-ph/9808016,
  title  = {Path Integrals with Kinetic Coupling Potentials},
  author = {Christian Grosche},
  journal= {arXiv preprint arXiv:quant-ph/9808016},
  year   = {2009}
}

Comments

8 pages., LateX, 1 figure (postscript)