Resummation of anisotropic quartic oscillator: Crossover from anisotropic to isotropic large-order behavior

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 55, Issue 2, 1997, Pages 915-928

  Kleinert, H ^a   Thoms, S ^a   Janke, W ^b  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16944363199     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.55.915     Document Type: Article

References (39)

1. A. Aharony, Phys. Rev. B 8, 4270 (1973).
2. I. J. Ketley and D. J. Wallace, J. Phys. A 6, 1667 (1973).
3. E. Brezin, J. C. Le Guillou and J. Zinn-Justin, Phys. Rev. B 10, 893 (1974).
4. I. O. Mayer and A. I. Sokolov, Izv. Akad. Nauk SSSR Ser. Fiz. 51, 2103 (1987);
5. I. O. Mayer, A. I. Sokolov and B. N. Shalayev, Ferroelectrics 95, 93 (1989).
6. H. Kleinert and V. Schulte-Frohlinde, Phys. Lett. B 342, 284 (1995).
7. T. Banks, C. M. Bender and T. T. Wu, Phys. Rev. D 8, 3346 (1973);
8. T. Banks and C. M. Bender, Phys. Rev. D 8, 3366 (1973).
9. W. Janke, Phys. Lett. A 143, 107 (1990).
10. H. Kleinert and S. Thoms, Phys. Rev. D 52, 5926 (1995).
11. W. Janke and H. Kleinert (unpublished).
12. R. P. Feynman and H. Kleinert, Phys. Rev. A 34, 5080 (1986).
13. R. Giachetti and V. Tognetti, Phys. Rev. Lett. 55, 912 (1985);
14. R. Giachetti and V. Tognetti, Int. J. Magn. Matter 54-57, 861 (1986);
15. R. Giachetti and V. Tognetti, Phys. Rev. B 33, 7647 (1986).
16. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, 2nd ed. (World Scientific, Singapore, 1995).
17. H. Kleinert, Phys. Lett. A 173, 332 (1993);
18. H. Kleinert, Phys. Lett. B 300, 261 (1993);
19. R. Karrlein and H. Kleinert, Phys. Lett. A 187, 133 (1994);
20. H. Kleinert and H. Meyer, Phys. Lett. A 184, 319 (1994);
21. see also H. Kleinert, Phys. Lett. A 207, 133 (1995);
22. H. Kleinert, Phys. Lett. B 360, 65 (1995).
23. W. Janke and H. Kleinert, Phys. Rev. Lett. 75, 2787 (1995);
24. W. Janke and H. Kleinert, Phys. Lett. A 199, 287 (1995).
25. I. R. C. Buckley, A. Duncan and H. F. Jones, Phys. Rev. D 47, 2554 (1993);
26. C. M. Bender, A. Duncan and H. F. Jones, Phys. Rev. D 49, 4219 (1994);
27. A. Duncan and H. F. Jones, Phys. Rev. D 47, 2560 (1993);
28. R. Guida, K. Konishi and H. Suzuki, Ann. Phys. 241, 152 (1995).
29. H. Kleinert and W. Janke, Phys. Lett. A 206, 283 (1995);
30. R. Guida, K. Konishi and H. Suzuki, Ann. Phys. 249, 109 (1996).
31. C. M. Bender and T. T. Wu, Phys. Rev. 184, 1231 (1969);
32. C. M. Bender and T. T. Wu, Phys. Rev. D 7, 1620 (1973).
33. Higher Transcendental Functions, Bateman manuscript project, edited by A. Erdélyi et al (McGraw-Hill, New York, 1953), Vol. I.
34. See, for example, Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
35. E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics (Chelsea, New York, 1955).
36. J. S. Langer, Ann. Phys. 41, 108 (1967).
37. L. N. Lipatov, JETP Lett. 25, 104 (1977);
38. L. N. Lipatov, Sov. Phys. JETP 45, 216 (1977).
39. B. Simon, Ann. Phys. 58, 76 (1970).