摘要: The relation between the WKB and semi-classical propagator approaches to molecular collision theory is examined in terms of properties a new propagator. It found that conditions for valid stationary phase approximation this quantity may be more severe than hitherto supposed. A novel aspect nature classical trajectory transformation coordinate momentum representations also examined.
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sci-hub.se 参考文章(8)
Albert Roach Hibbs, Richard Phillips Feynman, Quantum Mechanics and Path Integrals ,(1965)
William H. Miller, Semiclassical Theory of Atom–Diatom Collisions: Path Integrals and the Classical S Matrix Journal of Chemical Physics. ,vol. 53, pp. 1949- 1959 ,(1970) , 10.1063/1.1674275
The Elimination of the Nodes in Quantum Mechanics Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 111, pp. 281- 305 ,(1926) , 10.1098/RSPA.1926.0068
R.A. Marcus, Extension of the WKB method to wave functions and transition probability amplitudès (S-matrix) for inelastic or reactive collisions Chemical Physics Letters. ,vol. 7, pp. 525- 532 ,(1970) , 10.1016/0009-2614(70)80164-6
C. Chester, B. Friedman, F. Ursell, An extension of the method of steepest descents Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 53, pp. 599- 611 ,(1957) , 10.1017/S0305004100032655
J. H. Van Vleck, The Correspondence Principle in the Statistical Interpretation of Quantum Mechanics Proceedings of the National Academy of Sciences of the United States of America. ,vol. 14, pp. 178- 188 ,(1928) , 10.1073/PNAS.14.2.178
Philip Pechukas, Time-Dependent Semiclassical Scattering Theory. II. Atomic Collisions Physical Review. ,vol. 181, pp. 174- 185 ,(1969) , 10.1103/PHYSREV.181.174
Daniel Edwin Rutherford, Classical Mechanics ,(1951)