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Other One-Dimensional Problems

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Relativistic and Non-Relativistic Quantum Mechanics

Abstract

In this Chapter, we continue to solve unrealistic one-dimensional problems, but we improve our models of submicroscopic phenomena by exploring the use of more realistic potentials. This chapter contains a novel and ambitious study of the consequences of special theory of relativity for quantum mechanics. This includes the study of the relativistic harmonic oscillator, and a pedagogical presentation of Klein’s paradox based on solving the Schrödinger-like PPGP equation for a step potential.

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Bibliography

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Correspondence to Luis Grave de Peralta .

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Grave de Peralta, L., Fernández Lozada, M., Farooq, H., Eichman, G., Singh, A., Prime, G. (2023). Other One-Dimensional Problems. In: Relativistic and Non-Relativistic Quantum Mechanics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-031-37073-1_4

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