Semi-classical calculations of energy levels and wave functions of hamiltonian systems with one and several degrees of freedom based on the method of classical and quantum normal forms

The paper presents two schemes for the sequential construction of the classical normal form and its quantum analogue for some classes of classical Hamiltonian systems. For quantum normal forms, a method for solving their eigenvalue problem is indicated. Based on these normal forms, a semi-classical...

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Bibliographic Details
Main Authors: I.N. Belyaeva, N.I. Korsunov, N.A. Chekanov, A.N. Chekanov
Format: Article
Language:Russian
Published: Tver State University 2023-12-01
Series:Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов
Subjects:
Online Access:https://physchemaspects.ru/2023/doi-10-26456-pcascnn-2023-15-255/?lang=en