On an electron in a nonuniform axial magnetic field in a uniformly rotating frame

被引：4

作者：

Bakke, K. ^{[1
]}

Ribeiro, R. F. ^{[1
]}

Salvador, C. ^{[1
]}

机构：

[1] Univ Fed Paraiba, Dept Fis, Caixa Postal 5008, BR-58051900 Joao Pessoa, Paraiba, Brazil

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2019年 / 34卷 / 33期

关键词：

Rotating effects; analytical solutions; biconfluent Heun equation; point charge (electrons or holes); QUANTUM PHASE; CHARGED-PARTICLE; GLOBAL MONOPOLE; EARTHS ROTATION; LANDAU-LEVELS; DEFECTS; DISLOCATIONS; QUANTIZATION; MOMENT;

D O I：

10.1142/S0217751X19502294

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The interaction of an electron with a nonuniform axial magnetic field is analyzed in a uniformly rotating frame. In particular, the magnetic field is proportional to the square of the radial distance from the symmetry axis. Then, in search of analytical solutions to the Schrodinger equation, it is shown that these solutions are possible if the nonuniform magnetic field possesses a discrete set of values.

引用

页数：8

共 48 条

[21] Aharonov-Anandan quantum phase from a fixed vector field background and an axial magnetic field around a cavity [J].

Bakke, K. ;

Belich, H. .

QUANTUM STUDIES-MATHEMATICS AND FOUNDATIONS, 2025, 12 (01)

[22] Dynamics of a charged particle around a slowly rotating Kerr black hole immersed in magnetic field [J].

Saqib Hussain ;

Ibrar Hussain ;

Mubasher Jamil .

The European Physical Journal C, 2014, 74

[23] Klauder-Perelomov and Gazeau-Klauder coherent states for an electron in the Morse-like magnetic field [J].

Mojaveri, B. .

EUROPEAN PHYSICAL JOURNAL D, 2013, 67 (05)

[24] KG- oscillators in Som-Raychaudhuri rotating cosmic string spacetime in a mixed magnetic field [J].

Mustafa, Omar .

NUCLEAR PHYSICS B, 2024, 1006

[25] Kinetics of intrasubband electron energy relaxation in quantum wells in a quantizing magnetic field [J].

Telenkov, M. P. ;

Mityagin, Yu A. ;

Doan, T. N., V ;

Nagaraja, K. K. .

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2018, 104 :11-15

[26] Energy of a nondegenerate, nonrelativistic electron gas polarized by a magnetic field. II [J].

Shul'man G.A. .

Russian Physics Journal, 1999, 42 (2) :179-182

[27] Electron power loss in metal-oxide nanostructures in quantizing magnetic field [J].

Bhat, Shruti ;

Bhat, J. S. .

SOLID STATE COMMUNICATIONS, 2022, 346

[28] Phase diagram of twisted bilayer MoTe2 in a magnetic field with an account for the electron-electron interaction [J].

Wang, Minxuan ;

Wang, Xiaoyu ;

Vafek, Oskar .

PHYSICAL REVIEW B, 2024, 110 (20)

[29] Relativistic Quantum Motion of an Electron in Spinning Cosmic String Spacetime in the Presence of Uniform Magnetic Field and Aharonov-Bohm Potential [J].

Cunha, Marcio M. ;

Silva, Edilberto O. .

ADVANCES IN HIGH ENERGY PHYSICS, 2021, 2021

[30] Exact energy levels and eigenfunctions of an electron on a nanosphere under the influence of a radial magnetic field [J].

Cetin, A. .

PHYSICA B-CONDENSED MATTER, 2017, 523 :92-95

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