Distributional Borel summability of odd anharmonic oscillators

被引：28

作者：

Caliceti, E ^{[1
]}

机构：

[1] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 20期

关键词：

D O I：

10.1088/0305-4470/33/20/303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is proved that the divergent Rayleigh-Schrodinger perturbation expansions for the eigenvalues of any odd anharmonic oscillator are Borel summable in the distributional sense to the resonances naturally associated with the system.

引用

页码：3753 / 3770

页数：18

共 24 条

[1] COUPLING-CONSTANT BEHAVIOR OF THE RESONANCES OF THE CUBIC ANHARMONIC-OSCILLATOR [J].

ALVAREZ, G .

PHYSICAL REVIEW A, 1988, 37 (11) :4079-4083

[2] BENDER-WU BRANCH-POINTS IN THE CUBIC OSCILLATOR [J].

ALVAREZ, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (16) :4589-4598

[3]

[Anonymous], 1978, METHODS MODERN MATH

[4]

[Anonymous], 1960, The Mechanics of the Atom

[5] Large-order perturbation theory for a non-Hermitian PT-symmetric Hamiltonian [J].

Bender, CM ;

Dunne, GV .

JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (10) :4616-4621

[6] Real spectra in non-Hermitian Hamiltonians having PT symmetry [J].

Bender, CM ;

Boettcher, S .

PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5243-5246

[7]

BENDER CM, 1998, QUANTPH9812039

[8] Applying the linear δ expansion to the iφ3 interaction [J].

Blencowe, MP ;

Jones, HF ;

Korte, AP .

PHYSICAL REVIEW D, 1998, 57 (08) :5092-5099

[9] PERTURBATION-THEORY OF ODD ANHARMONIC-OSCILLATORS [J].

CALICETI, E ;

GRAFFI, S ;

MAIOLI, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 75 (01) :51-66

[10] STARK RESONANCES - ASYMPTOTICS AND DISTRIBUTIONAL BOREL SUM [J].

CALICETI, E ;

GRECCHI, V ;

MAIOLI, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 157 (02) :347-357

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