GENERALIZATION OF COULOMB CLASSICAL RUNGE-LENZ VECTOR TO CENTRAL FIELD MODEL OF MOLECULES CH4, SIH4, ETC

被引：0

作者：

KOZLOWSKI, PM ^{[1
]}

MARCH, NH ^{[1
]}

机构：

[1] UNIV OXFORD,DEPT THEORET CHEM,OXFORD OX1 3UB,ENGLAND

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1990年 / 105卷 / 12期

关键词：

03.20; Classical mechanics of discrete systems: general mathematical aspects;

D O I：

10.1007/BF02742684

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the so-called one-centre model of molecules CH4, the protons are smeared uniformly over the surface of a sphere of radius R equal to the C-H bond length. Here the classical Runge-Lenz vector for the Kepler problem is generalized to this model. Our result reduces to the usual one in the united atom limit R-->0.

引用

页码：1291 / 1296

页数：6

共 11 条

[1] Configurational inversion of the tetrahedral molecules CH4, SiH4, and GeH4
Yoshizawa, K
Suzuki, A
CHEMICAL PHYSICS, 2001, 271 (1-2) : 41 - 54
[2] Relativistic Runge-Lenz vector: from N=4 SYM to SO(4) scalar field theory
Alvarez-Jimenez, J.
Cortese, I.
Antonio Garcia, J.
Gutierrez-Ruiz, D.
David Vergara, J.
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (10):
[3] STATISTICAL OCE-CALCULATIONS ON MOLECULES CH4, SIH4, GEH4, SNH4 AND PBH4
HENSEN, K
ACHATZ, M
MULLER, R
THEORETICA CHIMICA ACTA, 1973, 28 (03): : 297 - 305
[4] LOW-ENERGY POSITRON COLLISIONS WITH CH4 AND SIH4 MOLECULES BY USING NEW POSITRON POLARIZATION POTENTIALS
JAIN, A
GIANTURCO, FA
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1991, 24 (09) : 2387 - 2398
[5] EFFECT OF GAS TEMPERATURE ON THE ROTATIONAL-EXCITATION OF SPHERICAL TOP MOLECULES (CH4 AND SIH4) BY LOW-ENERGY ELECTRONS
JAIN, A
ZEITSCHRIFT FUR PHYSIK D-ATOMS MOLECULES AND CLUSTERS, 1991, 21 (02): : 153 - 161
[6] Scattering cross sections for collisions of electrons with tetrahedral molecules in the energy range 0.1-100 eV: CH4, SiH4, and GeH4
Kaur, Mandeep
Kaur, Gurpreet
Jain, Arvind Kumar
Mohan, Harsh
Singh, Parjit S.
Sharma, Sunita
Baluja, K. L.
PHYSICAL REVIEW A, 2018, 97 (05)
[7] STUDY ON LOCAL MODE VIBRATIONS OF MOLECULAR VIBRATIONAL-EXCITATION STATES IN CH4, SIH4 AND GEH4 WITH QUASI-CLASSICAL TRAJECTORY METHOD
YANG, ZZ
LI, SM
TANG, AQ
SCIENCE IN CHINA SERIES B-CHEMISTRY LIFE SCIENCES & EARTH SCIENCES, 1995, 38 (08): : 912 - 919
[8] NUMERIC MODELING OF ENERGY-TRANSFER PROCESSES IN THE TETRAHEDRAL MOLECULE-INERT GAS ATOM SYSTEM - COLLISIONS OF CH4, CD4, SIH4, CF4 MOLECULES WITH ARGON ATOMS
GRINCHAK, MB
LEVITSKII, AA
POLAK, LS
UMANSKII, SY
KHIMICHESKAYA FIZIKA, 1984, 3 (11): : 1491 - 1496
[9] Relativistic Runge-Lenz vector: from N=4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=4 $$\end{document} SYM to SO(4) scalar field theory
J. Alvarez-Jimenez
I. Cortese
J. Antonio García
D. Gutiérrez-Ruiz
J. David Vergara
Journal of High Energy Physics, 2018 (10)
[10] TOTAL CROSS-SECTIONS FOR ELECTRON-SCATTERING BY POLYATOMIC-MOLECULES AT 10-1000 EV - H2S, SIH4, CH4, CF4, CCL4, SF6, C2H4, CCL3F, CCLF3, AND CCL2F2
JIANG, YH
SUN, JF
WAN, L
PHYSICAL REVIEW A, 1995, 52 (01): : 398 - 403

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