Pole structure of the Hamiltonian ζ-function for a singular potential

Journal of Physics A: Mathematical and General

Volumn 35, Issue 26, 2002, Pages 5427-5444

  Falomir, H ^a   Pisani, P A G ^a   Wipf, A ^b  

^a UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037025148     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/26/306     Document Type: Article

References (26)

1. Dowker J S and Critchley R 1976 Phys. Rev. D 13 3224
2. Hawking S W 1977 Commun. Math. Phys. 55 133
3. Elizalde E, Odintsov S D, Romeo A, Bytsenko A A and Zerbini S 1994 Zeta Regularization Techniques with Applications (Singapore: World Scientific)
4. Bytsenko A A, Cognola G, Vanzo L and Zerbini S 1996 Phys. Rep. 266 1
5. Kirsten K 2000 Spectral functions in mathematics and physics Preprint hep-th/0007251
6. Bordag M, Mohideen U and Mostepanenko V M 2001 New developments in the Casimir effect Preprint quant-ph/0106045
7. Seeley R T 1967 AMS Proc. Symp. Pure Math. 10 288 Seeley R T 1969 Am. J. Math. 91 889 Seeley R T 1969 Am. J. Math. 91 963
8. Seeley R T 1967 AMS Proc. Symp. Pure Math. 10 288 Seeley R T 1969 Am. J. Math. 91 889 Seeley R T 1969 Am. J. Math. 91 963
9. Seeley R T 1967 AMS Proc. Symp. Pure Math. 10 288 Seeley R T 1969 Am. J. Math. 91 889 Seeley R T 1969 Am. J. Math. 91 963
10. Gilkey P B 1995 Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem (Boca Raton, FL: CRC Press)
11. 2 in dimension 1 Commun. Math. Phys. 88 357-85
12. Callias C J and Uhlmann G A 1984 Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients Bull. Am. Math. Soc., New Ser. 11 172-6
13. Callias C J 1988 The resolvent and the heat kernel for some singular boundary problems Commun. Partial Differ. Equ. 13 1113-55
14. Olshanetsky M A and Perelomov A M 1981 Phys. Rep. 71 313-400
15. Calogero F 1969 J. Math. Phys. 10 2191-6
16. Peak D and Inomata A 1969 J. Math. Phys. 10 1422-8
17. Kleinert H 1995 Path Integrals in Quantum Mechanics, Statistics and Polymer Physics 2nd edn (Singapore: World Scientific)
18. Fischer W, Leschke H and Muller P 1992 J. Phys. A: Math. Gen. 25 3835-54
19. Achiezer N I and Glazman I M 1993 Theory of Linear Operators in Hilbert Space (New York: Dover)
20. Albeverio S and Kurasov P 2000 Singular Perturbations of Differential Operators: Solvable Schrodinger Type Operators (London Mathematical Society Lecture Note vol 271) (Cambridge: Cambridge University Press)
21. Reed M and Simon B 1980 Methods of Modern Mathematical Physics vols I-II (New York: Academic)
22. Simon B 1973 J. Funct. Anal. 14 295-8
23. Rellich F 1943/44 Die zulässigen Randbedingungen bei den singulären Eigenwertproblemen der mathematischen Physik Math. Z. 49 702-23 (in German)
24. Albeverio S, Gesztesy F, Høoegh-Krohn R and Holden H 1988 Solvable Models in Quantum Mechanics (Texts and Monographs in Physics) (Berlin: Springer)
25. Handbook of Mathematical Functions 1970 ed M Abramowitz and I Stegun (New York: Dover)
26. Falomir H and Pisani P A G 2001 J. Phys. A: Math. Gen. 34 4143