Some fundamental mathematical properties in atomic and molecular quantum mechanics

被引：0

作者：

Chen, Goong ^{[1
]}

Ding, Zhonghai ^{[1
]}

Perronnet, Alain ^{[1
]}

Scully, Marlan O. ^{[1
]}

Xie, Ruihua ^{[1
]}

Zhang, Zhigang ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

HIGH-DIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS IN SCIENCE AND ENGINEERING | 2007年 / 41卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The theoretical basis for modeling atomic and molecular systems containing a few particles of electrons and nuclei is the Schrodinger equation and the Born-Oppenheirner separation. The objective of this paper is to review some fundamental mathematical properties for such systems in order to facilitate contemporary interdisciplinary research in quantum computing, quantum control and chemical physics. The following are the main topics addressed in the paper: (1) derivations of the virial theorem and cusp conditions; (2) discussion of H-2(+) (hydrogen molecular ion) orbitals; (3) related examples and illustrations.

引用

页码：49 / 72

页数：24

共 50 条

[21] Nonrelativistic Quantum Mechanics with Fundamental Environment
Ashot S. Gevorkyan
Foundations of Physics, 2011, 41 : 509 - 515
[22] Fundamental operators in Dirac quantum mechanics
Silenko, Alexander J.
Zhang, Pengming
Zou, Liping
XVIII WORKSHOP ON HIGH ENERGY SPIN PHYSICS, DSPIN-2019, 2020, 1435
[23] The fundamental equation of quantum mechanics.
Flint, HT
PHILOSOPHICAL MAGAZINE, 1943, 34 (234): : 496 - 502
[24] FUNDAMENTAL EQUATIONS OF QUANTUM-MECHANICS
DIRAC, PAM
USPEKHI FIZICHESKIKH NAUK, 1977, 122 (04): : 611 - 621
[25] Contextuality and the fundamental theorems of quantum mechanics
Doring, Andreas
Frembs, Markus
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (07)
[26] The fundamental equations of quantum mechanics.
Diarac, PAM
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1925, 109 (752) : 644 - 653
[27] Nonrelativistic Quantum Mechanics with Fundamental Environment
Gevorkyan, Ashot S.
FOUNDATIONS OF PHYSICS, 2011, 41 (03) : 509 - 515
[28] On some fundamental atomic weights
Zintl, E
Meuwsen, A
ZEITSCHRIFT FUR ANORGANISCHE UND ALLGEMEINE CHEMIE, 1924, 136 (3/4): : 223 - 237
[29] Special Issue on Quantum Optics for Fundamental Quantum Mechanics
Genovese, Marco
Gramegna, Marco
APPLIED SCIENCES-BASEL, 2020, 10 (10):
[30] SOME FUNDAMENTAL ISSUES OF DAMAGE MECHANICS
KRAJCINOVIC, D
MASTILOVIC, S
MECHANICS OF MATERIALS, 1995, 21 (03) : 217 - 230

← 1 2 3 4 5 →