Factorization and q-Deformed Algebra of Quantum Anharmonic Oscillator

Details Factorization and q-Deformed Algebra of Quantum Anharmonic Oscillator Factorization and q-Deformed Algebra of Quantum Anharmonic Oscillator

1998-08-24

arxiv.org/abs/hep-th/9808144v1

J.KoreanPhys.Soc.34:463-469,1999

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figures, revtex

Scientific paper

We have studied the underlying algebraic structure of the anharmonic oscillator by using the variational perturbation theory. To the first order of the variational perturbation, the Hamiltonian is found to be factorized into a supersymmetric form in terms of the annihilation and creation operators, which satisfy a q-deformed algebra. This algebraic structure is used to construct all the eigenstates of the Hamiltonian.

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