@article{AIHPA_1987__46_2_155_0, author = {Breen, Stephen}, title = {Feynman diagrams and large order estimates for the exponential anharmonic oscillator}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {47}, year = {1987}, pages = {155-173}, mrnumber = {887145}, zbl = {0623.28010}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1987__46_2_155_0} }
Breen, Stephen. Feynman diagrams and large order estimates for the exponential anharmonic oscillator. Annales de l'I.H.P. Physique théorique, Tome 47 (1987) pp. 155-173. http://gdmltest.u-ga.fr/item/AIHPA_1987__46_2_155_0/
[1] Borel summability beyond the factorial growth. Ann. Inst. H. Poincaré, Sect. A., t. 41, 1984, p. 37. | Numdam | MR 760125 | Zbl 0551.40009
and ,[2] Generalized logarithmic Borel summability. J. Math. Phys., t. 25, 1984, p. 3439-3443. | MR 767548 | Zbl 0562.40006
and ,[3] The exponential anharmonic oscillator and the Stieltjes continued fraction, preprint. | MR 784297
, , and ,[4] Exponential perturbations of the harmonic oscillator. J. Math. Phys., t. 22, 1981, p. 1952-1958. | MR 631146 | Zbl 0472.47025
,[5] An improvement of Watson's theorem on Borel summability. J. Math. Phys., t. 21, 1980, p. 261-263. | MR 558468 | Zbl 0441.40012
,[6] Methods of modern mathematical physics. Vol. IV, New York, Academic Press, 1975. | Zbl 0401.47001
and ,[7] The Lipatov argument. Commun. Math. Phys., t. 74, 1980, p. 273-280. | MR 578044
,[8] Leading large order asymptotics for (φ4)2 perturbation theory. Commun. Math. Phys., t. 92, 1983, p. 179-194. | MR 728864 | Zbl 0568.46055
,[9] Large order perturbation theory for the anharmonic oscillator. Mem. Amer. Math. Soc., to appear.
,[10] The Lipatov argument for φ43 perturbation theory. Commun. Math. Phys., t. 102, 1985, p. 59-88. | MR 817288
and ,[11] Modified perturbation theories for an anharmonic oscillator. Phys. Lett., B., t. 79, 1978, p. 403-405.
and ,[12] Functional integration and quantum physics, New York. Academic Press, 1979. | MR 544188 | Zbl 0434.28013
,[13] The P (φ)2 Euclidean (quantum) field theory. Princeton, Princeton University Press, 1974. | MR 489552
,[14] Boundary conditions in the P(φ)2 Euclidean field theory. Ann. Inst. H. Poincaré, Sect. A, t. 25, 1976, p. 231-334. | Numdam | MR 441150
, , and ,[15] Large orders and summability of eigenvalue perturbation theory: a mathematical overview. Int. J. Q. Chem., t. 21, 1982, p. 3-25.
,