Journal of Particle Physics
The One-Dimensional, Non-Relativistic, Quanitum Morse Oscillator at the Classical Limit
Download PDF (129 KB) PP. 1 - 3 Pub. Date: January 17, 2018
Author(s)
- M.A. Grado-Caffaro*
Permanent address: M.A. Grado-Caffaro and M. Grado-Caffaro- Scientific Consultants, C/Julio Palacios 11, 9-B, 28029-Madrid (Spain); www.sapienzastudies.com - M. Grado-Caffaro
Permanent address: M.A. Grado-Caffaro and M. Grado-Caffaro- Scientific Consultants, C/Julio Palacios 11, 9-B, 28029-Madrid (Spain); www.sapienzastudies.com
Abstract
The one-dimensional, non-relativistic, quantum Morse oscillator is studied at the classical
limit. In fact, near the classical limit, the energy eigenvalues relative to the eigenstates of the nonrelativistic, time-independent, Schrödinger equation with Morse potential are negative and
approximately proportional to the square of the corresponding vibrational quantum number. Within
this framework, the mass of the oscillator in question is found to be negative. This can take place in
certain particle phenomena and, in fact, occurs, for instance, in semiconductor superlattices. These
cases are outlined very briefly in the present paper.
Keywords
Morse oscillator; classical limit; negative mass; non-relativistic quantum particles
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