Factorization and q-deformed algebra of a quantum anharmonic oscillator

Dongsu Bak, Sang Pyo Kim, Sung Ku Kim, Kwang Sup Soh, Jae Hyung Yee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We have studied the underlying algebraic structure of the anharmonic oscillator by using 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 annihilation and creation operators which satisfy a q-deformed algebra. This algebraic structure is used to construct all the eigenstates of the Hamiltonian.

Original languageEnglish
Pages (from-to)470-472
Number of pages3
JournalJournal of the Korean Physical Society
Issue number5
StatePublished - 1999


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