Relativistic quantum dynamics of a neutral particle in external electric fields: An approach on effects of spin

被引：13

作者：

Azevedo, F. S. ^{[2
]}

Silva, Edilberto O. ^{[1
]}

Castro, Luis B. ^{[1
]}

Filgueiras, Cleverson ^{[2
,3
]}

Cogollo, D. ^{[2
]}

机构：

[1] Univ Fed Maranhao, Dept Fis, BR-65080805 Sao Luis, Maranhao, Brazil

[2] Univ Fed Campina Grande, Dept Fis, BR-58109970 Campina Grande, Paraiba, Brazil

[3] Univ Fed Lavras UFLA, Dept Fis DFI, BR-37200000 Lavras, MG, Brazil

来源：

ANNALS OF PHYSICS | 2015年 / 362卷

关键词：

Self-adjoint extension; Aharonov-Casher effect; Landau levels; Physical regularization; AHARONOV-BOHM; BOUNDARY-CONDITIONS; PHASE; FERMIONS; STATES; CONFINEMENT; SCATTERING; TOPOLOGY; DIPOLES; MOMENT;

D O I：

10.1016/j.aop.2015.08.007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The planar quantum dynamics of a spin-1/2 neutral particle interacting with electrical fields is considered. A set of first order differential equations is obtained directly from the planar Dirac equation with nonminimum coupling. New solutions of this system, in particular, for the Aharonov-Casher effect, are found and discussed in detail. Pauli equation is also obtained by studying the motion of the particle when it describes a circular path of constant radius. We also analyze the planar dynamics in the full space, including the r = 0 region. The self-adjoint extension method is used to obtain the energy levels and wave functions of the particle for two particular values for the self-adjoint extension parameter. The energy levels obtained are analogous to the Landau levels and explicitly depend on the spin projection parameter. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：196 / 207

页数：12

共 54 条

[1]

Abramowitz M., 1972, HDB MATH FUNCTIONS

[2] On the Aharonov-Bohm Hamiltonian [J].

Adami, R ;

Teta, A .

LETTERS IN MATHEMATICAL PHYSICS, 1998, 43 (01) :43-53

[3] PHASE-CHANGE DURING A CYCLIC QUANTUM EVOLUTION [J].

AHARONOV, Y ;

ANANDAN, J .

PHYSICAL REVIEW LETTERS, 1987, 58 (16) :1593-1596

[4] TOPOLOGICAL QUANTUM EFFECTS FOR NEUTRAL PARTICLES [J].

AHARONOV, Y ;

CASHER, A .

PHYSICAL REVIEW LETTERS, 1984, 53 (04) :319-321

[5] SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].

AHARONOV, Y ;

BOHM, D .

PHYSICAL REVIEW, 1959, 115 (03) :485-491

[6]

ALBEVERIO S, 1987, J REINE ANGEW MATH, V380, P87

[7] AHARONOV-BOHM INTERACTION OF COSMIC STRINGS WITH MATTER [J].

ALFORD, MG ;

WILCZEK, F .

PHYSICAL REVIEW LETTERS, 1989, 62 (10) :1071-1074

[8] Classical and quantum interaction of the dipole [J].

Anandan, J .

PHYSICAL REVIEW LETTERS, 2000, 85 (07) :1354-1357

[9] GEOMETRY OF QUANTUM EVOLUTION [J].

ANANDAN, J ;

AHARONOV, Y .

PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1697-1700

[10] On the spin-1/2 Aharonov-Bohm problem in conical space: Bound states, scattering and helicity nonconservation [J].

Andrade, F. M. ;

Silva, E. O. ;

Pereira, M. .

ANNALS OF PHYSICS, 2013, 339 :510-530

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