Exact solution in the Heisenberg picture and annihilation-creation operators

Details Exact solution in the Heisenberg picture and annihilation-creation operators Exact solution in the Heisenberg picture and annihilation-creation operators

2006-05-26

arxiv.org/abs/quant-ph/0605221v2

Phys.Lett. B641 (2006) 112-117

Physics

Quantum Physics

10 pages, no figures. Abstract, Introduction revised; Conclusion added; Document-class changed. To appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2006.08.017

The annihilation-creation operators of the harmonic oscillator, the basic and most important tools in quantum physics, are generalised to most solvable quantum mechanical systems of single degree of freedom including the so-called `discrete' quantum mechanics. They admit exact Heisenberg operator solution. We present unified definition of the annihilation-creation operators (a^{(\pm)}) as the positive/negative frequency parts of the exact Heisenberg operator solution.

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