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Relativistic harmonic oscillator

Jan, 2005

10 pages

Published in:

J.Math.Phys. 46 (2005) 103514

e-Print:

hep-ph/0501268 [hep-ph]

DOI:

10.1063/1.2054648

Report number:

HEPHY-PUB-800-05

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Abstract:

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.

Note:

14 pages, extended discussion of results Report-no: HEPHY-PUB 800/05 Subj-class: High Energy Physics - Phenomenology: : Mathematical Physics: Quantum Physics

02.10.Ud
03.65.Fd
03.65.Ge
02.30.Tb
bound state: wave function
oscillator: relativistic
energy levels
numerical calculations

References(45)

Figures(0)

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)

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)
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(
- Vienna U.
)

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(
- Concordia U., Montreal
)
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Wolfgang Lucha
(
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)
,
Franz F. Schoberl
(
- Vienna U.
)

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(
- Concordia U., Montreal
)
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(
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)
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(
- Vienna U.
)

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(
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)
,
Wolfgang Lucha
(
- Vienna, OAW
)
,
Franz F. Schoeberl
(
- Vienna U.
)

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(
- Concordia U., Montreal
)
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Wolfgang Lucha
(
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)
,
Franz F. Schoberl
(
- Vienna U.
)

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(
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)
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(
- Vienna U.
)

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