On the linear dispersion--linear potential quantum oscillator
Martin Greiter
TL;DR
This paper investigates the quantum oscillator characterized by a bi-linear potential combining linear dispersion and linear potential terms, providing solutions through quasi-classical and numerical methods.
Contribution
It introduces a comprehensive analysis of the bi-linear quantum oscillator using both quasi-classical and numerical approaches, which is a novel combination for this type of potential.
Findings
Derived quasi-classical solutions for the oscillator.
Obtained numerical solutions confirming analytical results.
Provided insights into the spectral properties of the bi-linear potential.
Abstract
We solve the bi-linear quantum oscillator H=v|p|+F|x| both quasi-classically and numerically.
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