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A THEOREM ON ESSENTIAL SELF-ADJOINTNESS WITH APPLICATION TO HAMILTONIANS IN NONRELATIVISTIC QUANTUM-FIELD THEORY
被引:7
作者
:
ARAI, A
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Hokkaido University
ARAI, A
机构
:
[1]
Department of Mathematics, Hokkaido University
来源
:
JOURNAL OF MATHEMATICAL PHYSICS
|
1991年
/ 32卷
/ 08期
关键词
:
D O I
:
10.1063/1.529178
中图分类号
:
O4 [物理学];
学科分类号
:
0702 ;
摘要
:
An abstract theorem is given on essential self-adjointness of operators in infinite direct sum of Hilbert spaces and is applied to a class of Hamiltonians in nonrelativistic quantum field theory to prove their essential self-adjointness.
引用
收藏
页码:2082 / 2088
页数:7
相关论文
共 15 条
[1]
LONG-TIME BEHAVIOR OF AN ELECTRON INTERACTING WITH A QUANTIZED RADIATION-FIELD
ARAI, A
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Hokkaido University
ARAI, A
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1991,
32
(08)
: 2224
-
2242
[2]
AN ASYMPTOTIC ANALYSIS AND ITS APPLICATION TO THE NONRELATIVISTIC LIMIT OF THE PAULI-FIERZ AND A SPIN-BOSON MODEL
ARAI, A
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Hokkaido University
ARAI, A
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1990,
31
(11)
: 2653
-
2663
[3]
SPECTRAL-ANALYSIS OF A QUANTUM HARMONIC-OSCILLATOR COUPLED TO INFINITELY MANY SCALAR BOSONS
ARAI, A
论文数:
0
引用数:
0
h-index:
0
ARAI, A
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1989,
140
(01)
: 270
-
288
[4]
RIGOROUS THEORY OF SPECTRA AND RADIATION FOR A MODEL IN QUANTUM ELECTRODYNAMICS
ARAI, A
论文数:
0
引用数:
0
h-index:
0
ARAI, A
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1983,
24
(07)
: 1896
-
1910
[5]
SELF-ADJOINTNESS AND SPECTRUM OF HAMILTONIANS IN NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS
ARAI, A
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TOKYO,COLL GEN EDUC,DEPT PURE & APPL SCI,TOKYO 153,JAPAN
UNIV TOKYO,COLL GEN EDUC,DEPT PURE & APPL SCI,TOKYO 153,JAPAN
ARAI, A
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1981,
22
(03)
: 534
-
537
[6]
ARAI A, 1981, J MATH PHYS, V22, P2539, DOI 10.1063/1.524830
[7]
ON A MODEL OF A HARMONIC-OSCILLATOR COUPLED TO A QUANTIZED, MASSLESS, SCALAR FIELD .2.
ARAI, A
论文数:
0
引用数:
0
h-index:
0
ARAI, A
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1981,
22
(11)
: 2549
-
2552
[8]
BOGOLIUBOV NN, 1988, SOME ASPECTS POLARON
[9]
IRREVERSIBLE BEHAVIOR OF A QUANTUM HARMONIC-OSCILLATOR COUPLED TO A HEAT BATH
BRAUN, E
论文数:
0
引用数:
0
h-index:
0
机构:
NATL AUTONOMOUS UNIV MEXICO,FAC CIENCIAS,MEXICO CITY 04510,DF,MEXICO
NATL AUTONOMOUS UNIV MEXICO,FAC CIENCIAS,MEXICO CITY 04510,DF,MEXICO
BRAUN, E
[J].
PHYSICA A,
1985,
129
(02):
: 262
-
301
[10]
QUANTUM TUNNELLING IN A DISSIPATIVE SYSTEM
CALDEIRA, AO
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SUSSEX,SCH MATH & PHYS SCI,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND
UNIV SUSSEX,SCH MATH & PHYS SCI,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND
CALDEIRA, AO
LEGGETT, AJ
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SUSSEX,SCH MATH & PHYS SCI,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND
UNIV SUSSEX,SCH MATH & PHYS SCI,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND
LEGGETT, AJ
[J].
ANNALS OF PHYSICS,
1983,
149
(02)
: 374
-
456
←
1
2
→
共 15 条
[1]
LONG-TIME BEHAVIOR OF AN ELECTRON INTERACTING WITH A QUANTIZED RADIATION-FIELD
ARAI, A
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Hokkaido University
ARAI, A
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1991,
32
(08)
: 2224
-
2242
[2]
AN ASYMPTOTIC ANALYSIS AND ITS APPLICATION TO THE NONRELATIVISTIC LIMIT OF THE PAULI-FIERZ AND A SPIN-BOSON MODEL
ARAI, A
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Hokkaido University
ARAI, A
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1990,
31
(11)
: 2653
-
2663
[3]
SPECTRAL-ANALYSIS OF A QUANTUM HARMONIC-OSCILLATOR COUPLED TO INFINITELY MANY SCALAR BOSONS
ARAI, A
论文数:
0
引用数:
0
h-index:
0
ARAI, A
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1989,
140
(01)
: 270
-
288
[4]
RIGOROUS THEORY OF SPECTRA AND RADIATION FOR A MODEL IN QUANTUM ELECTRODYNAMICS
ARAI, A
论文数:
0
引用数:
0
h-index:
0
ARAI, A
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1983,
24
(07)
: 1896
-
1910
[5]
SELF-ADJOINTNESS AND SPECTRUM OF HAMILTONIANS IN NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS
ARAI, A
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TOKYO,COLL GEN EDUC,DEPT PURE & APPL SCI,TOKYO 153,JAPAN
UNIV TOKYO,COLL GEN EDUC,DEPT PURE & APPL SCI,TOKYO 153,JAPAN
ARAI, A
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1981,
22
(03)
: 534
-
537
[6]
ARAI A, 1981, J MATH PHYS, V22, P2539, DOI 10.1063/1.524830
[7]
ON A MODEL OF A HARMONIC-OSCILLATOR COUPLED TO A QUANTIZED, MASSLESS, SCALAR FIELD .2.
ARAI, A
论文数:
0
引用数:
0
h-index:
0
ARAI, A
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
1981,
22
(11)
: 2549
-
2552
[8]
BOGOLIUBOV NN, 1988, SOME ASPECTS POLARON
[9]
IRREVERSIBLE BEHAVIOR OF A QUANTUM HARMONIC-OSCILLATOR COUPLED TO A HEAT BATH
BRAUN, E
论文数:
0
引用数:
0
h-index:
0
机构:
NATL AUTONOMOUS UNIV MEXICO,FAC CIENCIAS,MEXICO CITY 04510,DF,MEXICO
NATL AUTONOMOUS UNIV MEXICO,FAC CIENCIAS,MEXICO CITY 04510,DF,MEXICO
BRAUN, E
[J].
PHYSICA A,
1985,
129
(02):
: 262
-
301
[10]
QUANTUM TUNNELLING IN A DISSIPATIVE SYSTEM
CALDEIRA, AO
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SUSSEX,SCH MATH & PHYS SCI,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND
UNIV SUSSEX,SCH MATH & PHYS SCI,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND
CALDEIRA, AO
LEGGETT, AJ
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SUSSEX,SCH MATH & PHYS SCI,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND
UNIV SUSSEX,SCH MATH & PHYS SCI,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND
LEGGETT, AJ
[J].
ANNALS OF PHYSICS,
1983,
149
(02)
: 374
-
456
←
1
2
→