TL;DR
This paper investigates quantum models of a scalar particle in pseudo-Gaussian metrics, revealing energy levels and potential behaviors that interpolate between free and harmonic oscillator states.
Contribution
It introduces a novel quantum model with pseudo-Gaussian potentials and computes energy levels using an efficient numerical method.
Findings
Potential approaches harmonic oscillator in the zero limit
Energy levels calculated numerically with high efficiency
Potential exhibits Gaussian asymptotic behavior
Abstract
The quantum models of a massive scalar particle inside of an open bag generated by a pseudo-Gaussian conformaly flat (1+1) metrics are investigated. The potential of a free moving test particle, in the generated metric, has Gaussian asymptotic behavior, approaching to the potential of harmonic oscillator in the limit of zero. The energy levels are calculated using numerical methods, calculations are based on efficient method of generating functionals.
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