English

On the Interpretation of the 'Extra' Variables in the Hurwitz Transformation

Quantum Physics 2007-05-23 v1

Abstract

The Hurwits transformation is generalized by introducing three new variables called 'extra'. Interpretation of these extra variables allows us to establish relation between isotropic harmonic oscillator and five-dimensional hydrogen-like atom in 'electromagnetic' fields of various configurations. For the Schrodinger equations, the scheme of separation of extra variables is suggested.

Cite

@article{arxiv.quant-ph/0504193,
  title  = {On the Interpretation of the 'Extra' Variables in the Hurwitz Transformation},
  author = {Le Van Hoang and Nguyen Thanh Son},
  journal= {arXiv preprint arXiv:quant-ph/0504193},
  year   = {2007}
}

Comments

15 pages