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Quantum phase‐space densities for a quartic oscillator
Author(s) -
De Polavieja G. G.,
Borondo F.,
Benito R. M.
Publication year - 1994
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.560510620
Subject(s) - quartic function , phase space , quantum mechanics , space (punctuation) , quantum , physics , phase (matter) , function (biology) , mathematical physics , mathematics , pure mathematics , linguistics , philosophy , evolutionary biology , biology
A quantum analog to the classical Poincaré surface of section, based on the Husimi function, is calculated for the quartic oscillator: H = 1/2( P x 2+ P y 2 ) + x 2 y 2 /2 + α( x 4 + y 4 ). The corresponding quantum densities in phase space are analyzed, and they show certain localization properties for a large number of states. © 1994 John Wiley & Sons, Inc.