Conformal Mapping of Relativistic Quantum Bound Systems to Eliminate Potential Fields

Details Conformal Mapping of Relativistic Quantum Bound Systems to Eliminate Potential Fields Conformal Mapping of Relativistic Quantum Bound Systems to Eliminate Potential Fields

2010-05-17

arxiv.org/abs/1005.2792v1

Physics

Quantum Physics

9 pages

Scientific paper

In two recent papers, an isometric conformal transformation has been introduced that eliminates potential interaction terms from the Schr\"odinger equation for central potential problems. The method has been demonstrated for both the hydrogen atom and three-dimensional harmonic oscillator. Here, it is shown that the same transformation technique can also be applied to central potential problems formulated using the Klein-Gordon equation.

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