Relativistic Harmonic Oscillator

Details Relativistic Harmonic Oscillator Relativistic Harmonic Oscillator

2005-01-28

arxiv.org/abs/hep-ph/0501268v2

J.Math.Phys. 46 (2005) 103514

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, extended discussion of results

Scientific paper

10.1063/1.2054648

We study the semirelativistic Hamiltonian operator composed of the relativistic kinetic energy and a static harmonic-oscillator potential in three spatial dimensions and construct, for bound states with vanishing orbital angular momentum, its eigenfunctions in compact form, i. e., as power series, with expansion coefficients determined by an explicitly given recurrence relation. The corresponding eigenvalues are fixed by the requirement of normalizability of the solutions.

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