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- W115703259 abstract "In the theory of anharmonic vibrations of varied physical nature, one might generally perform the calculation of observable quantities through a pertinent method of perturbation theory. The aim of this chapter is to assist the reader to reply to the principal questions with respect to the construction of a general perturbation theory in the context of the problem of anharmonicity. Beginning with a simple calculation of second order for a model Hamiltonian, we proceed to a general problem to obtain the pertinent expressions for the arbitrary corrections to the energy levels and wavefunctions of a physical system that undergoes small vibrations; the inclusion of degenerate states is considered separately. For the convenience of working in higher orders of perturbation theory, we develop the formalism of polynomials of quantum numbers. Bypassing the intermediate calculations, this polynomial formalism significantly simplifies a computational process and allows one to enunciate the universal rules of calculation of observable matrix elements that define the frequencies and intensities of vibrational transitions. In the hopes of further development of the theory, we connect with a concept of functions of quantum numbers; the main attention here is focused on the physical aspects of the question. Using the perturbation method to solve the simple and generalized Morse problems in a fresh manner, we also demonstrate the power of the method of factorization." @default.
- W115703259 created "2016-06-24" @default.
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- W115703259 date "2014-01-01" @default.
- W115703259 modified "2023-09-26" @default.
- W115703259 title "Theory of anharmonicity" @default.
- W115703259 doi "https://doi.org/10.1016/b978-0-12-801588-9.00003-5" @default.
- W115703259 hasPublicationYear "2014" @default.
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