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Volumn 129, Issue 12, 2008, Pages

Linearized semiclassical initial value time correlation functions with maximum entropy analytic continuation

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; FLOWCHARTING; HYDROGEN; LINEARIZATION; MATHEMATICAL OPERATORS; NONMETALS; OPTIMAL CONTROL SYSTEMS; SCHRODINGER EQUATION;

EID: 52949135487     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2981065     Document Type: Article
Times cited : (27)

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    • In the example given in Sec., the classical dynamics happens to give the correct result at zero time (t=0) for the Kubo-transformed momentum autocorrelation function and thus provides a reasonable prior. We note that the MEAC+classical can still be extended to general autocorrelation functions as well, although one might have to adjust the prior spectrum [i.e., times the ratio C AA quantum (t=0) / C AA classical (t=0)] to obtain the exact value of the correlation function at zero time (t=0). Among all versions of quantum mechanics correlation functions, the Kubo-transformed correlation function is the one which most naturally corresponds to the classical correlation function, so it is reasonable that it provides the best choice to use in Eqs. for the MEAC+classical method.
    • In the example given in Sec., the classical dynamics happens to give the correct result at zero time (t=0) for the Kubo-transformed momentum autocorrelation function and thus provides a reasonable prior. We note that the MEAC+classical can still be extended to general autocorrelation functions as well, although one might have to adjust the prior spectrum [i.e., times the ratio C AA quantum (t=0) / C AA classical (t=0)] to obtain the exact value of the correlation function at zero time (t=0). Among all versions of quantum mechanics correlation functions, the Kubo-transformed correlation function is the one which most naturally corresponds to the classical correlation function, so it is reasonable that it provides the best choice to use in Eqs. for the MEAC+classical method.


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