Hydrogen atom in quantum mechanics and quantization on curved surfaces

被引:0
作者
Chirkov, AG [1 ]
Berdnikov, AY [1 ]
机构
[1] St Petersburg State Tech Univ, St Petersburg 195251, Russia
关键词
Hydrogen; Hydrogen Atom; Quantum Mechanic; Natural System; Curve Surface;
D O I
10.1134/1.1365457
中图分类号
O59 [应用物理学];
学科分类号
摘要
New quantization rules for classical systems are obtained using the Titchmarsh expansion. These rules generalize the conventional ones and are reduced to them when a transition to Cartesian coordinates exists. An equation generalizing the Schrodinger equation to arbitrary natural systems is found. The principle of minimal constraint (strong equivalence principle) makes it possible to extend this equation to any curved spaces. (C) 2001 MAIK "Nauka/Interperiodica".
引用
收藏
页码:368 / 374
页数:7
相关论文
共 29 条
[1]  
BATYGIN VV, 1982, PROBABILISTIC PRINCI
[2]  
Berezin F. A., 1974, IZV AKAD NAUK SSSR M, V38, P1116
[3]  
Berezin F. A., 1991, Mathematics and its Applications (Soviet Series), Vfirst
[4]  
BETHE HA, 1957, QUANTUM MECH ONE 2 E
[5]  
DOKEW JS, 1974, FUNCTIONAL INTEGRATI, P34
[6]  
Dunford N, 1963, LINEAR OPERATORS, VII
[7]  
Emch GerardG, 1972, ALGEBRAIC METHODS ST
[8]   EQUIVALENCE OF EXTRINSIC AND INTRINSIC QUANTIZATION FOR OBSERVABLES NOT PRESERVING THE VERTICAL POLARIZATION [J].
EMMRICH, C .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 151 (03) :515-530
[9]  
Feller W., 1991, An Introduction to Probability Theory and Its Applications, VII
[10]  
FOCK VA, 1978, PRINCIPLES QUANTUM M