The relativistic two-dimensional harmonic oscillator

Details The relativistic two-dimensional harmonic oscillator The relativistic two-dimensional harmonic oscillator

2009-02-06

arxiv.org/abs/0902.1073v2

Il Nuovo Cimento 124B 395-403 (2009)

Physics

Mathematical Physics

8 pages

Scientific paper

10.1393/ncb/i2009-10777-7

The two-dimensional relativistic configurational $\vec r$-space is proposed and the exactly solvable finite-difference model of the harmonic oscillator in this space is constructed. The wave functions of the stationary states and the corresponding energy spectrum are found for the model under consideration. It is shown that, they have correct non-relativistic limit. Explicit form of the plane momentum operator is determined.

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