On the Interpretation of the 'Extra' Variables in the Hurwitz Transformation
Le Van Hoang, Nguyen Thanh Son
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.
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