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Squeezing transformation caused by frequency jumps for solving the problem of two coupled oscillators
Author(s) -
Fan HongYi
Publication year - 1990
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560380306
Subject(s) - unitary transformation , eigenvalues and eigenvectors , hamiltonian (control theory) , resolvent , transformation (genetics) , unitary state , wave function , operator (biology) , mathematics , representation (politics) , basis (linear algebra) , mathematical analysis , physics , quantum mechanics , mathematical physics , classical mechanics , quantum , geometry , mathematical optimization , biochemistry , chemistry , repressor , politics , political science , transcription factor , law , gene
For the Hamiltoniana unitary operator that is closely related to the squeezing transformation caused by frequency jumps is found and its coordinate representation provides an alternative approach for calculating the wave function of the eigenstate of ℋ, whereas its normally ordered form is convenient for deriving the resolvent kernel in a coherent‐state basis.