Extension of the WKB method to wave functions and transition probability amplitudes (S-matrix) for inelastic or reactive collisions

被引：176

作者：

Marcus, R. A. ^{[1
]}

机构：

[1] Univ Illinois, Dept Chem, Urbana, IL 61801 USA

来源：

CHEMICAL PHYSICS LETTERS | 1970年 / 7卷 / 05期

关键词：

D O I：

10.1016/0009-2614(70)80164-6

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A WKB-type method is used to calculate the wave function and S-matrix for these collisions directly, instead of applying WKB to the customary infinite set of coupled differential equations. Action-angle variables and exact or approximate classical trajectories are used.

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页码：525 / 532

页数：8

相关论文

共 22 条

[1] VIBRATIONAL-TRANSLATIONAL ENERGY TRANSFER IN NEAR-ADIABATIC APPROXIMATION [J].

ATTERMEY.M ;

MARCUS, RA .

JOURNAL OF CHEMICAL PHYSICS, 1970, 52 (01) :393-&

[2] ROTATIONAL-TRANSLATIONAL ENERGY TRANSFER .2. COMPARISON OF ACTION-ANGLE SOLUTION IN NEAR-STATIC APPROXIMATION WITH EXACT RESULTS [J].

COHEN, AO ;

MARCUS, RA .

JOURNAL OF CHEMICAL PHYSICS, 1970, 52 (06) :3140-&

[3] CLASSICAL MECHANICS OF ROTATIONAL-TRANSLATIONAL AND OTHER ENERGY TRANSFER .I. A HAMILTON-JACOBI (ACTION-ANGLE) TREATMENT [J].

COHEN, AO ;

MARCUS, RA .

JOURNAL OF CHEMICAL PHYSICS, 1968, 49 (10) :4509-&

[4] The elimination of the nodes in quantum mechanics [J].

Dirac, PAM .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1926, 111 (757) :281-305

[5] The quantum theory of the emission and absorption of radiation [J].

Dirac, PAM .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1927, 114 (767) :243-265

[6]

DIRAC PAM, 1958, PRINCIPLES QUANTUM M, P121

[7]

Gordon R, 1968, ADV MAGN RESON, V3, P1, DOI DOI 10.1016/B978-1-4832-3116-7.50008-4

[8]

GORDON RG, 1968, ANN PHYS CHEM, V19, P217

[9] New justification of the quantum mechanic [J].

Jordan, P .

ZEITSCHRIFT FUR PHYSIK, 1927, 40 (11/12) :809-838

[10]

Jordan P., 1927, Z PHYS, V44, P1