Abstract:
The semiclassical Landau–Lifshitz formula with pre-exponential factor is derived and its cormection with the correspondence principle is traced. Illustrations are given of its use for the Morse potential and the modified Peschl–Teller potential, and also for a very simple potential with first-order poles.
Citation:
È. S. Medvedev, “The Landau–Lifshitz formula and the correspondence principle for semiclassical matrix elements”, TMF, 90:2 (1992), 218–225; Theoret. and Math. Phys., 90:2 (1992), 146–151
\Bibitem{Med92}
\by \`E.~S.~Medvedev
\paper The Landau--Lifshitz formula and the correspondence principle for semiclassical matrix elements
\jour TMF
\yr 1992
\vol 90
\issue 2
\pages 218--225
\mathnet{http://mi.mathnet.ru/tmf5525}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 90
\issue 2
\pages 146--151
\crossref{https://doi.org/10.1007/BF01028438}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JT83800006}
Linking options:
https://www.mathnet.ru/eng/tmf5525
https://www.mathnet.ru/eng/tmf/v90/i2/p218
This publication is cited in the following 7 articles:
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Hirokazu Takahashi, Kaito Takahashi, Satoshi Yabushita, “Interpretation of Semiclassical Transition Moments through Wave Function Expansion of Dipole Moment Functions with Applications to the OH Stretching Spectra of Simple Acids and Alcohols”, J. Phys. Chem. A, 119:20 (2015), 4834
Emile S. Medvedev, “Towards understanding the nature of the intensities of overtone vibrational transitions”, The Journal of Chemical Physics, 137:17 (2012)
A. V. Sergeev, Bilha Segev, “Semiclassical estimation of Franck–Condon factors and transition rates for vertical and nonvertical transitions”, The Journal of Chemical Physics, 118:13 (2003), 5852
P. V. Elyutin, O. V. Smirnova, “On the quasi-classical limit of the quadratic susceptibility”, Theoret. and Math. Phys., 119:1 (1999), 471–480
H.K. Shin, “Near-resonant vibrational energy transfer from nitrous oxide to benzene”, Chemical Physics Letters, 281:1-3 (1997), 175
Emile S. Medvedev, “The accuracy of the quasiclassical Landau–Lifshitz formula for matrix elements and its application to the analysis of the intensities of vibrational overtone transitions”, The Journal of Chemical Physics, 100:10 (1994), 7192