The quantum relativistic harmonic oscillator: generalized Hermite polynomials
β Scribed by V. Aldaya; J. Bisquert; J. Navarro-Salas
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 365 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
In a recent paper the creation operator of the quantum harmonic oscillator (its counterpart, the annihilation one as well) is characterized through its (spatial) translational invariance property. Here we step up with replacing the operator theoretic reasoning of [5] by an orthogonal polynomial env
The relativistic harmonic oscillator is solved by an inverse fractional power series as has been done for the simple pendulum. The striking similarity of these two kinds of non-linear motion is thus demonstrated. The entire analysis is amply dealt with, without resort to elliptic integrals.
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Arguments have been given by Greenspan [1] to suggest that the equation of motion for a relativistic harmonic oscillator is (1)