Large-order behavior of the convergent perturbation theory for anharmonic oscillators

L. Skála; J. Čížek; E. J. Weniger; J. Zamastil

doi:10.1103/physreva.59.102

Large-order behavior of the convergent perturbation theory for anharmonic oscillators

Physical Review A ◽

10.1103/physreva.59.102 ◽

1999 ◽

Vol 59 (1) ◽

pp. 102-106 ◽

Cited By ~ 29

Author(s):

L. Skála ◽

J. Čížek ◽

E. J. Weniger ◽

J. Zamastil

Keyword(s):

Perturbation Theory ◽

Anharmonic Oscillators ◽

Large Order

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Path-integral derivation of large-order behaviour of perturbation theory for anisotropic anharmonic oscillators

Physics Letters A ◽

10.1016/0375-9601(90)90660-g ◽

1990 ◽

Vol 143 (3) ◽

pp. 107-113 ◽

Cited By ~ 5

Author(s):

W. Janke

Keyword(s):

Perturbation Theory ◽

Path Integral ◽

Anharmonic Oscillators ◽

Large Order

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Renormalized perturbation theory by the moment method for degenerate states: Anharmonic oscillators

International Journal of Quantum Chemistry ◽

10.1002/(sici)1097-461x(1998)66:4<261::aid-qua1>3.0.co;2-t ◽

1998 ◽

Vol 66 (4) ◽

pp. 261-272 ◽

Cited By ~ 5

Author(s):

Marcelo D. Radicioni ◽

Carlos G. Diaz ◽

Francisco M. Fern�ndez

Keyword(s):

Perturbation Theory ◽

Moment Method ◽

Anharmonic Oscillators ◽

Degenerate States ◽

The Moment

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Perturbation Theory and Boundary Conditions: Analogous Treatments of Anharmonic Oscillators and Double-Wells and Similarly Related Potentials and the Calculation of Exponentially Small Contributions to Eigenvalues

Fortschritte der Physik/Progress of Physics ◽

10.1002/prop.2190380202 ◽

1990 ◽

Vol 38 (2) ◽

pp. 77-164 ◽

Cited By ~ 14

Author(s):

P. Achuthan ◽

H. J. W. Müller-Kirsten ◽

A. Wiedemann

Keyword(s):

Perturbation Theory ◽

Boundary Conditions ◽

Anharmonic Oscillators ◽

Related Potentials ◽

Double Wells ◽

Exponentially Small

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Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators

Symmetry Integrability and Geometry Methods and Applications ◽

10.3842/sigma.2009.005 ◽

2009 ◽

Cited By ~ 1

Author(s):

Ulrich D. Jentschura

Keyword(s):

Pt Symmetry ◽

Anharmonic Oscillators ◽

Large Order

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Perturbation theory at large order. I. The Φ2N interaction

Current Physics–Sources and Comments - Large-Order Behaviour of Perturbation Theory ◽

10.1016/b978-0-444-88597-5.50019-3 ◽

1990 ◽

pp. 91-104

Author(s):

E. Brézin ◽

J.C. Le Guillou ◽

J. Zinn-Justin

Keyword(s):

Perturbation Theory ◽

Large Order

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Critical Exponents and Large-Order Behavior of Perturbation Theory

World Scientific Lecture Notes in Physics - Field Theory, Disorder and Simulations ◽

10.1142/9789812799050_0006 ◽

1992 ◽

pp. 119-142

Author(s):

E. Brézin ◽

G. Parisi

Keyword(s):

Perturbation Theory ◽

Critical Exponents ◽

Large Order

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X. Large order estimates in perturbation theory

Physics Reports ◽

10.1016/0370-1573(79)90110-8 ◽

1979 ◽

Vol 49 (2) ◽

pp. 205-213 ◽

Cited By ~ 11

Author(s):

J. Zinn-Justin

Keyword(s):

Perturbation Theory ◽

Large Order

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Rayleigh-Schrödinger perturbation theory at large order for radial relativistic Hamiltonians using hypervirial and Hellmann-Feynman theories

Physics Letters A ◽

10.1016/0375-9601(88)90417-3 ◽

1988 ◽

Vol 130 (3) ◽

pp. 141-146 ◽

Cited By ~ 14

Author(s):

E.R. Vrscay ◽

H. Hamidian

Keyword(s):

Perturbation Theory ◽

Large Order ◽

Schrödinger Perturbation

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Large-order asymptotic terms in perturbation theory: The first (4-ε)-expansion correction to renormalization constants in the O(n)-symmetric theory

Theoretical and Mathematical Physics ◽

10.1007/s11232-005-0097-7 ◽

2005 ◽

Vol 143 (2) ◽

pp. 664-680 ◽

Cited By ~ 2

Author(s):

M. V. Komarova ◽

M. Yu. Nalimov

Keyword(s):

Perturbation Theory ◽

Large Order ◽

Renormalization Constants ◽

Symmetric Theory

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Chapter II.6 The Large Order Behavior of Perturbation Theory

From Perturbative to Constructive Renormalization ◽

10.1515/9781400862085.144 ◽

1991 ◽

pp. 144-168

Keyword(s):

Perturbation Theory ◽

Large Order

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