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

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

2005-04-26

arxiv.org/abs/quant-ph/0504193v1

Physics

Quantum Physics

15 pages

Scientific paper

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.

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