Momentum space trigonometric Rosen-Morse potential
C.B. Compean, M. Kirchbach
TL;DR
This paper transforms the trigonometric Rosen-Morse potential into momentum space using its harmonic angular function property on a three-dimensional hypersphere, facilitating new analytical approaches in quantum mechanics.
Contribution
It introduces a novel momentum space representation of the Rosen-Morse potential leveraging hyperspherical harmonic properties.
Findings
Successful transformation to momentum space demonstrated
Potential applications in quantum scattering problems
Enhanced analytical tools for hyperspherical systems
Abstract
We transform the trigonometric S wave Rosen-Morse potential to momentum space in employing its property of being a harmonic angular function on the three dimensional hypersphere S^3.
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