Pade approximants and the anharmonic oscillator

Loeffel, J.J.; Martin, Andre; Simon, B.; Wightman, A.S.

doi:10.1016/0370-2693(69)90087-2

Pade approximants and the anharmonic oscillator

1969

3 pages

Published in:

Phys.Lett.B 30 (1969) 656-658

Published: 1969

DOI:

10.1016/0370-2693(69)90087-2

View in:

reference search119 citations

Citations per year

Abstract: (Elsevier)

The diagonal Padé approximants of the perturbation series for the eigenvalues of the anharmonic oscillator (a βκ 1 perturbation of p 2 + κ 2 ) converge to the eigenvalues.

approximation: pade
model: anharmonic oscillator
perturbation theory
tables

References(16)

Figures(0)

[1]

G.A. Baker

- Adv.Theoret.Phys. 1 (1965) 1

[2]

D. Bessis
,
M. Pusterla

- Nuovo Cim.A 54 (1968) 243

[2]

Pade approximants in strong interactions. two-body pion and kaon systems

- Nuovo Cim.A 60 (1969) 185-238
•
DOI:
- 10.1007/BF02757345

[2]

D. Bessis
,
S. Gratti
,
V. Grecchi
,
G. Turchetti

- Phys.Lett.B 28 (1969) 8

[2]

L. Copley
,
D. Masson

- Phys.Rev. 164 (1967) 2059

[3]

Analytic structure of energy levels in a field theory model

Carl M. Bender
(
- Harvard u.
)
,
Tai Tsun Wu
(
- Harvard u.
)

- Phys.Rev.Lett. 21 (1968) 406-409
•
DOI:
- 10.1103/PhysRevLett.21.406

[4]

Coupling constant analyticity for the anharmonic oscillator

B. Simon

[5]

in preparation

J.J. Loeffel
,
A. Martin

[6]

A LAMBDA PHI**4 QUANTUM FIELD THEORY WITHOUT CUTOFFS. 1

J. Glimm
(
- MIT, LNS
)
,
Arthur M. Jaffe
(
- Harvard U.
)

- Phys.Rev. 176 (1968) 1945-1951,
- Also in *Glimm, J., Jaffe, A.: Collected Papers, Vol. 2*, 6-12
•
DOI:
- 10.1103/PhysRev.176.1945

[7]

T. Kato

- Prog.Theor.Phys. 4 (1949) 514

[7]

T. Kato

- Prog.Theor.Phys. 5 (1950) 95

[7]

T. Kato

- Prog.Theor.Phys. 5 (1950) 207

[8]

private communication

K. Symanzik

[9]

N. Bazley
,
D. Fox

- Phys.Rev. 124 (1961) 483

[9]

C. Reid

- J.Chem.Phys. 43 (1965) S186

[10]

private communication

T. Karr