Semibounded local Hamiltonians in ℝ4 for a Laplacian perturbed on curves with corner points

Theoretical and Mathematical Physics

Volumn 106, Issue 2, 1996, Pages 151-166

  Shondin, Yu G ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030511213     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02071070     Document Type: Article

References (19)

1. Yu. G. Shondin, Teor. Mat. Fiz., 105, 3-17 (1995).
2. B. S. Pavlov, Usp. Mat. Nauk, 42, No. 6, 99-131 (1987).
3. Yu. G. Shondin, Teor. Mat. Fiz., 51, 181-191 (1982).
4. L. E. Thomas, Phys. Rev., D30, 1233-1236 (1984).
5. B. S. Pavlov, Mat. Sb., 136, No. 2, 163-177 (1988).
6. K. A. Makarov, Algebra Analiz, 4, No. 5, 155-171 (1992).
7. K. Hepp, Théorie de la Rénormalisation, Springer, Berlin-Heidelberg-New York (1969).
8. Yu. G. Shondin, Teor. Mat. Fiz., 92, 466-472 (1992).
9. S. Albeverio, R. Høegh-Krohn, and L. Streit, J. Math. Phys., 18, 907-917 (1977).
10. M. Fukushima, Dirichlet Forms and Markov Processes, North-Holland, Amsterdam (1980).
11. S. Albeverio, R. Høegh-Krohn, F. Gesztesy, and H. Holden, Solvable Models in Quantum Mechanics, Springer, New York-Berlin (1988).
12. A. D. Wentzell, Teor. Ver. Prilozh., 4, No. 2, 172-185 (1959).
13. N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, North-Holland, Amsterdam-Oxford-New York (1986).
14. M. S. Birman, Mat. Sb., 38, No. 4, 431-450 (1956).
15. V. A. Derkach and M. M. Malamud, J. Funct. Anal, 95, 1-95 (1991).
16. M. M. Malamud, Dokl. Akad. Nauk Ukr. SSR, No. 3, 20-25 (1990).
17. A. Alonso amd B. Simon, J. Oper. Theory, 4, 251-270 (1980).
18. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. IV. Analysis of Operators, Academic Press, London-New York-San Francisco (1978).
19. J. Brasche, "Perturbations of self-adjoint operators supported by null sets," Thesis, Bielefeld (1988).