1989•American Journal of PhysicsRequires access

The stretched harmonic oscillator: An analytical test of semiclassical approximations

Montserrat Llagostera Casas, H. Krivine, Joan Camañes Martorell

Abstract

The stretched harmonic oscillator is a potential that can be varied continuously from the harmonic oscillator to the infinite square well. The corresponding solutions of the one-dimensional Schrödinger equation are almost as simple as those of the usual harmonic oscillator. It is used to study analytically the reliability of semiclassical approximations.

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Key concepts: Harmonic oscillator, Semiclassical physics, Physics, Simple harmonic motion, Harmonic, Anharmonicity, Quantum harmonic oscillator, Quantum mechanics