Quantum Model of the Prolate Spheroidal Thomson Hydrogen Atom

被引:3
作者
Baghdasaryan, D. A. [1 ]
Hayrapetyan, D. B. [1 ,2 ]
Kazaryan, E. M. [1 ]
机构
[1] Russian Armenian Slavon Univ, Yerevan, Armenia
[2] Yerevan State Univ, Yerevan 375049, Armenia
关键词
spheroidal Thomson hydrogen atom; Rydberg energy; INTERBAND LIGHT-ABSORPTION; DOT ELECTRONIC STATES; IMPURITY;
D O I
10.3103/S1068337216020080
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In a uniformly charged prolate spheroidal Thomson hydrogen atom the electron states have been investigated. It has been shown from the mathematical point of view that the problem is equivalent to a spheroidal hydrogen atom in a parabolic potential with the cylindrical symmetry. In the framework of adiabatic approximation, the energy of ground state has been calculated. Comparison with the case of uncharged spheroidal quantum dot has been made, and the analytical form of wave function of electron has been also obtained.
引用
收藏
页码:157 / 161
页数:5
相关论文
共 18 条
[1]  
[Anonymous], TEORETICHESKAYA FIZI
[2]  
[Anonymous], 1964, HDB MATH FUNCTIONS
[3]   Prolate spheroidal quantum dot: Electronic states, direct interband light absorption and electron dipole moment [J].
Baghdasaryan, D. A. ;
Hayrapetyan, D. B. ;
Kazaryan, E. M. .
PHYSICA B-CONDENSED MATTER, 2015, 479 :85-89
[4]   Oblate spheroidal quantum dot: electronic states, direct interband light absorption and pressure dependence [J].
Baghdasaryan, Davit A. ;
Hayrapetyan, David B. ;
Kazaryan, Eduard M. .
EUROPEAN PHYSICAL JOURNAL B, 2015, 88 (09)
[5]  
Chakraborty T., 1999, Quantum Dots. A Survey of the Properties of Artificial Atoms
[6]   EXCITONS IN A PARABOLIC QUANTUM DOT IN MAGNETIC-FIELDS [J].
HALONEN, V ;
CHAKRABORTY, T ;
PIETILAINEN, P .
PHYSICAL REVIEW B, 1992, 45 (11) :5980-5985
[7]   On the possibility of implementation of Kohn's theorem in the case of ellipsoidal quantum dots [J].
Hayrapetyan, D. B. ;
Kazaryan, E. M. ;
Sarkisyan, H. A. .
JOURNAL OF CONTEMPORARY PHYSICS-ARMENIAN ACADEMY OF SCIENCES, 2013, 48 (01) :32-36
[8]   Direct interband light absorption in a strongly prolated ellipsoidal quantum dot [J].
Hayrapetyan D.B. .
Journal of Contemporary Physics (Armenian Academy of Sciences), 2007, 42 (6) :292-297
[9]  
Karnakov B., 2013, EXPLORING QUNTUM MEC
[10]   Quantum model of the Thomson helium atom [J].
Kazaryan E.M. ;
Shakhnazaryan V.A. ;
Sarkisyan H.A. ;
Gusev A.A. .
Physics of Particles and Nuclei Letters, 2014, 11 (2) :109-113