We study the behavior of a nonrelativistic quantum particle interacting with different potentials in the background space-time generated by a cosmic string. We find the energy spectra for the quantum systems under consideration and discuss how they differ from their flat Minkowski space-time values.
REFERENCES
1.
J.
Audretsch
and G.
Schäffer
, Gen. Relativ. Gravit.
9
, 243
(1978
);J.
Audretsch
and G.
Schäffer
, Gen. Relativ. Gravit.
9
, 489
(1978
).2.
L.
Parker
, Phys. Rev. Lett.
44
, 1559
(1980
).3.
G. de A.
Marques
and V. B.
Bezerra
, Phys. Rev. D
66
, 105011
(2002
).4.
L.
Parker
and L. O.
Pimentel
, Phys. Rev. D
25
, 3180
(1982
).5.
P.
de Sousa Gerbert
and R.
Jackiw
, Commun. Math. Phys.
124
, 229
(1989
).6.
M.
Alvarez
, J. Phys. A
32
, 4079
(1999
);J.
Spinelly
, E. R.
Bezerra de Mello
, and V. B.
Bezerra
, Class. Quantum Grav.
18
, 1555
(2001
).7.
V. B.
Bezerra
, Class. Quantum Grav.
8
, 1939
(1991
);E. S.
Moreira
, Phys. Rev. A
58
, 1678
(1998
);C.
Furtado
and F.
Moraes
, J. Phys. A
33
, 5513
(2000
).8.
G.
’t Hooft
, Commun. Math. Phys.
117
, 685
(1988
).9.
B. S.
Kay
and U. M.
Studer
, Commun. Math. Phys.
139
, 103
(1991
).10.
G. de A.
Marques
and V. B.
Bezerra
, Mod. Phys. Lett. A
14
, 2687
(1999
);G. d. A.
Marques
and V. B.
Bezerra
, Class. Quantum Grav.
19
, 985
(2002
).11.
A.
Vilenkin
, Phys. Rev. D
23
, 852
(1981
);B.
Linet
, Gen. Relativ. Gravit.
17
, 1109
(1985
);J. R.
Gott
III, Astrophys. J.
288
, 422
(1985
).12.
M. B.
Hindmarsh
and T. W. B.
Kibble
, Rep. Prog. Phys.
58
, 477
(1995
) and references therein.13.
T. M.
Helliwell
and D. A.
Konkowski
, Phys. Rev. D
34
, 1918
(1986
).14.
B.
Linet
, Phys. Rev. D
35
, 536
(1987
).15.
J. S.
Dowker
, Phys. Rev. D
36
, 3742
(1987
).16.
P. C. W.
Daves
and V.
Sahni
, Class. Quantum Grav.
5
, 1
(1988
).17.
G. E. A.
Matsas
, Phys. Rev. D
41
, 3846
(1990
).18.
E. S.
Moreira
, Nucl. Phys. B
451
, 365
(1995
).19.
V. B.
Bezerra
and N. R.
Khusnutdinov
, Class. Quantum Grav.
23
, 3449
(2006
).20.
E. R. B.
de Mello
, V. B.
Bezerra
, A. A.
Saharian
, and A. S.
Tarloyan
, Phys. Rev. D
74
, 025017
(2006
).21.
E. R. B.
de Mello
, V. B.
Bezerra
, and A. A.
Saharian
, Phys. Lett. B
645
, 245
(2007
).22.
B.
Linet
, Phys. Rev. D
33
, 1833
(1986
).23.
E. R.
Bezerra de Mello
, V. B.
Bezerra
, C.
Furtado
, and F.
Moraes
, Phys. Rev. D
51
, 7140
(1995
).24.
G. W.
Gibbons
, F.
Ruiz
, and T.
Vachaspati
, Commun. Math. Phys.
127
, 295
(1990
).25.
L. H.
Ford
and A.
Vilenkin
, J. Phys. A
14
, 2353
(1981
);V. B.
Bezerra
, Ann. Phys. (N.Y.)
203
, 392
(1990
).26.
Y.
Aharonov
and D.
Bohm
, Phys. Rev.
119
, 485
(1959
).27.
S.
Flügge
, Pratical Quantum Mechanics
, (Springer-Verlag
, New York
, 1971
).28.
M.
Abramowitz
and I.
Stegun
, Handbook of Mathematical Functions
, 9th ed. (Dover
, New York
, 1972
).© 2007 American Institute of Physics.
2007
American Institute of Physics
You do not currently have access to this content.
