6533b828fe1ef96bd1288205
RESEARCH PRODUCT
The quantum relativistic harmonic oscillator: generalized Hermite polynomials
José Navarro-salasVictor AldayaJuan BisquertJuan Bisquertsubject
PhysicsQuantization (physics)Operator algebraQuantum harmonic oscillatorQuantum dynamicsQuantum mechanicsGeneral Physics and AstronomyCreation and annihilation operatorsCoherent statesTransition of stateSecond quantizationMathematical physicsdescription
A relativistic generalisation of the algebra of quantum operators for the harmonic oscillator is proposed. The wave functions are worked out explicitly in configuration space. Both the operator algebra and the wave functions have the appropriate c→∞ limit. This quantum dynamics involves an extra quantization condition mc2/ωℏ = 1, 32, 2, … of a topological character.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-07-01 | Physics Letters A |