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Trace formula and Spectral Riemann Surfaces for a class of tri-diagonal matrices
被引:10
作者
:
Djakov, P
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Djakov, P
Mityagin, B
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Mityagin, B
机构
:
[1]
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
[2]
Univ Sofia, Dept Math, Sofia 1164, Bulgaria
来源
:
JOURNAL OF APPROXIMATION THEORY
|
2006年
/ 139卷
/ 1-2期
关键词
:
D O I
:
10.1016/j.jat.2005.09.007
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
For tri-diagonal matrices arising in the simplified Jaynes-Cummings model, we give an asymptotics of the eigenvalues, prove a trace formula and show that the Spectral Riemann Surface is irreducible. (C) 2005 Published by Elsevier Inc.
引用
收藏
页码:293 / 326
页数:34
相关论文
共 40 条
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[Anonymous], COMPLEX VAR THEORY A
[2]
ANHARMONIC OSCILLATOR
BENDER, CM
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Physics, Harvard University, Cambridge
BENDER, CM
WU, TT
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Physics, Harvard University, Cambridge
WU, TT
[J].
PHYSICAL REVIEW,
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: 1231
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DOUBLE POINTS OF MATHIEUS DIFFERENTIAL EQUATION
BLANCH, G
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BLANCH, G
CLEMM, DS
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CLEMM, DS
[J].
MATHEMATICS OF COMPUTATION,
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[5]
Eigenvalue asymptotics of a modified Jaynes-Cummings model with periodic modulations
de Monvel, AB
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 07, Math Inst, F-75251 Paris, France
de Monvel, AB
Naboko, S
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 07, Math Inst, F-75251 Paris, France
Naboko, S
Silva, LO
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 07, Math Inst, F-75251 Paris, France
Silva, LO
[J].
COMPTES RENDUS MATHEMATIQUE,
2004,
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: 103
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107
[6]
Simple and double eigenvalues of the Hill operator with a two-term potential
Djakov, P
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Djakov, P
Mityagin, B
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Mityagin, B
[J].
JOURNAL OF APPROXIMATION THEORY,
2005,
135
(01)
: 70
-
104
[7]
Spectral measures and Jacobi matrices related to Laguerre-type systems of orthogonal polynomials
Dombrowski, J
论文数:
0
引用数:
0
h-index:
0
机构:
Dept. of Mathematics and Statistics, Wright State University, Dayton
Dombrowski, J
Pedersen, S
论文数:
0
引用数:
0
h-index:
0
机构:
Dept. of Mathematics and Statistics, Wright State University, Dayton
Pedersen, S
[J].
CONSTRUCTIVE APPROXIMATION,
1997,
13
(03)
: 421
-
433
[8]
FAZULLIN ZY, 2002, J MATH SCI NEW YORK, V108, P608
[9]
FAZULLIN ZY, 2001, MAT SBORNIK, V192, P87
[10]
HUNTER C, 1981, STUD APPL MATH, V64, P113
←
1
2
3
4
→
共 40 条
[1]
[Anonymous], COMPLEX VAR THEORY A
[2]
ANHARMONIC OSCILLATOR
BENDER, CM
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Physics, Harvard University, Cambridge
BENDER, CM
WU, TT
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Physics, Harvard University, Cambridge
WU, TT
[J].
PHYSICAL REVIEW,
1969,
184
(05):
: 1231
-
&
[3]
DOUBLE POINTS OF MATHIEUS DIFFERENTIAL EQUATION
BLANCH, G
论文数:
0
引用数:
0
h-index:
0
BLANCH, G
CLEMM, DS
论文数:
0
引用数:
0
h-index:
0
CLEMM, DS
[J].
MATHEMATICS OF COMPUTATION,
1969,
23
(105)
: 97
-
&
[4]
Blanch G., 1966, REND CIRC MAT PALERM, V15, P51
[5]
Eigenvalue asymptotics of a modified Jaynes-Cummings model with periodic modulations
de Monvel, AB
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 07, Math Inst, F-75251 Paris, France
de Monvel, AB
Naboko, S
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 07, Math Inst, F-75251 Paris, France
Naboko, S
Silva, LO
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 07, Math Inst, F-75251 Paris, France
Silva, LO
[J].
COMPTES RENDUS MATHEMATIQUE,
2004,
338
(01)
: 103
-
107
[6]
Simple and double eigenvalues of the Hill operator with a two-term potential
Djakov, P
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Djakov, P
Mityagin, B
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Mityagin, B
[J].
JOURNAL OF APPROXIMATION THEORY,
2005,
135
(01)
: 70
-
104
[7]
Spectral measures and Jacobi matrices related to Laguerre-type systems of orthogonal polynomials
Dombrowski, J
论文数:
0
引用数:
0
h-index:
0
机构:
Dept. of Mathematics and Statistics, Wright State University, Dayton
Dombrowski, J
Pedersen, S
论文数:
0
引用数:
0
h-index:
0
机构:
Dept. of Mathematics and Statistics, Wright State University, Dayton
Pedersen, S
[J].
CONSTRUCTIVE APPROXIMATION,
1997,
13
(03)
: 421
-
433
[8]
FAZULLIN ZY, 2002, J MATH SCI NEW YORK, V108, P608
[9]
FAZULLIN ZY, 2001, MAT SBORNIK, V192, P87
[10]
HUNTER C, 1981, STUD APPL MATH, V64, P113
←
1
2
3
4
→