Based on the discussions about the Aharonov-Casher effect in the Lorentz symmetry violation background, we show that the analogue of the relativistic Landau quantization in the Aharonov-Casher setup can be achieved in the Lorentz-symmetry violation background.

J.
Anandan
,
Phys. Rev. Lett.
85
,
1354
(
2000
).
[PubMed]
2.
A. Y.
Silenko
,
Russ. Phys. J.
48
,
788
(
2005
).
3.
Y.
Aharonov
and
A.
Casher
,
Phys. Rev. Lett.
53
,
319
(
1984
).
4.
A.
Zeilinger
,
R.
Gähler
, and
M. A.
Horne
,
Phys. Lett. A
154
,
93
(
1991
);
Y. D.
Han
and
I. G.
Koh
,
Phys. Lett. A
167
,
341
(
1992
).
5.
R. C.
Casella
,
Phys. Rev. Lett.
65
,
2217
(
1990
);
[PubMed]
B.
Resnik
and
Y.
Aharonov
,
Phys. Rev. D
40
,
4178
(
1989
).
6.
G.
Badurek
,
H.
Weinfruter
,
R.
Gähler
,
A.
Kollmar
,
S.
Wehinger
, and
A.
Zeilinger
,
Phys. Rev. Lett.
71
,
307
(
1993
).
7.
M.
Peshkin
and
H. J.
Lipkin
,
Phys. Rev. Lett.
74
,
2847
(
1995
);
[PubMed]
8.
E.
Passos
,
L. R.
Ribeiro
,
C.
Furtado
, and
J. R.
Nascimento
,
Phys. Rev. A
76
,
012113
(
2007
).
9.
K.
Bakke
,
J. R.
Nascimento
, and
C.
Furtado
,
Phys. Rev. D
78
,
064012
(
2008
);
K.
Bakke
,
C.
Furtado
, and
J. R.
Nascimento
,
Eur. Phys. J. C
60
,
501
(
2009
);
K.
Bakke
,
C.
Furtado
, and
J. R.
Nascimento
,
Eur. J. Phys. C
64
,
169
(
2009
).
10.
K.
Bakke
and
C.
Furtado
,
Phys. Rev. D
80
,
024033
(
2009
);
K.
Bakke
and
C.
Furtado
,
Eur. Phys. J. C
69
,
531
(
2010
).
11.
M.
Ericsson
and
E.
Sjöqvist
,
Phys. Lett. A
303
,
7
(
2002
);
R.
Ionicioiu
,
Phys. Rev. A
68
,
034305
(
2003
);
K.
Bakke
and
C.
Furtado
,
Quantum Inf. Comput.
11
,
0444
(
2011
).
12.
L. R.
Ribeiro
,
E.
Passos
,
C.
Furtado
, and
J. R.
Nascimento
, e-print arXiv:0710.5858.
13.
H.
Belich
,
T.
Costa-Soares
,
M. M.
Ferreira
, Jr.
, and
J. A.
Helayel-Neto
,
Eur. Phys. J. C
41
,
421
(
2005
);
H.
Belich
,
T.
Costa-Soares
,
M. M.
Ferreira
, Jr.
,
J. A.
Helayel-Neto
, and
F. M. O.
Moucherek
,
Phys. Rev. D
74
,
065009
(
2006
);
H.
Belich
,
T.
Costa-Soares
,
M. M.
Ferreira
, Jr.
,
J. A.
Helayel-Neto
, and
T. D.
Orlando
,
Phys. Lett. B
639
,
675
(
2006
);
H.
Belich
,
L. P.
Colatto
,
T.
Costa-Soares
,
J. A.
Helayel-Neto
, and
M. T. D.
Orlando
,
Eur. Phys. J. C
62
,
425
(
2009
).
14.
X. G.
He
and
B. H. J.
McKellar
,
Phys. Rev. A
47
,
3424
(
1993
);
[PubMed]
15.
C. A.
de Lima Ribeiro
,
C.
Furtado
, and
F.
Moraes
,
Europhys. Lett.
62
,
306
(
2003
).
16.
C.
Furtado
and
C. A. de Lima
Ribeiro
,
Phys. Rev. A
69
,
064104
(
2004
);
K.
Bakke
and
C.
Furtado
,
Ann. Phys. (Berlin)
522
,
447
(
2010
).
17.
K.
Bakke
and
C.
Furtado
,
Phys. Rev. A
80
,
032106
(
2009
).
18.
K.
Bakke
and
C.
Furtado
,
Int. J. Mod. Phys. D
19
,
85
(
2010
).
19.
M.
Ericsson
and
E.
Sjöqvist
,
Phys. Rev. A
65
,
013607
(
2001
).
20.
K.
Bakke
,
L. R.
Ribeiro
,
C.
Furtado
, and
J. R.
Nascimento
,
Phys. Rev. D
79
,
024008
(
2009
).
21.
K.
Bakke
and
C.
Furtado
,
Phys. Rev. D
82
,
084025
(
2010
).
22.
L. R.
Ribeiro
,
C.
Furtado
, and
J. R.
Nascimento
,
Phys. Lett. A
348
,
135
(
2006
).
23.
L. R.
Ribeiro
,
E.
Passos
,
C.
Furtado
and
J. R.
Nascimento
,
Eur. J. Phys. C
56
,
597
(
2008
).
24.
25.
E.
Passos
,
L. R.
Ribeiro
,
C.
Furtado
, and
J. R.
Nascimento
, e-print arXiv:0802.2817.
26.
C.
Furtado
,
J. R.
Nascimento
, and
L. R.
Ribeiro
,
Phys. Lett. A
358
,
336
(
2006
);
K.
Bakke
,
L. R.
Ribeiro
, and
C.
Furtado
,
Cent. Eur. J. Phys.
8
,
893
(
2010
).
27.
S.
Carroll
,
G.
Field
, and
R.
Jackiw
,
Phys. Rev. D
41
,
1231
(
1990
).
28.
S. M.
Carroll
,
Spacetime and Goemetry, an Introduction to General Relativity
(
Addison Wesley
,
San Francisco
,
2003
).
29.
P.
Schlüter
,
K.-H.
Wietschorke
, and
W.
Greiner
,
J. Phys. A
16
,
1999
(
1983
).
30.
N. D.
Birrell
and
P. C.W.
Davies
,
Quantum Fields in Curved Space
(
Cambridge University Press
,
Cambridge, England
,
1982
).
31.
S.
Weinberg
,
Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity
(
Wiley
,
New York
,
1972
).
32.
M.
Nakahara
,
Geometry, Topology and Physics
(
Institute of Physics Publishing
,
Bristol
,
1998
).
33.
J. M.
Bjorken
and
S. D.
Drell
,
Relativistic Quantum Mechanics
(
McGraw-Hill
,
New York
,
1964
).
34.
M.
Abramowitz
and
I. A.
Stegum
,
Handbook of Mathematical Functions
(
Dover
,
New York
,
1965
).
35.
L. D.
Landau
and
E. M.
Lifshitz
,
Quantum Mechanics, Non-relativistic Theory
, 3rd ed. (
Pergamon
,
Oxford
,
1977
).
36.
L. L.
Foldy
and
S. A.
Wouthuysen
,
Phys. Rev.
78
,
29
(
1950
).
You do not currently have access to this content.