A trace formula for multidimensional Schrödinger operators

Journal of Functional Analysis

Volumn 141, Issue 2, 1996, Pages 449-465

  Gesztesy, F ^a   Holden, H ^b   Simon, B ^c   Zhao, Z ^a  

^a UNIVERSITY OF MISSOURI   (United States)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^c California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030295652     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0137     Document Type: Article

References (9)

1. 1. H. Flaschka, On the inverse problem for Hill's operator, Arch. Rat. Mech. Anal. 59 (1975), 293-309.
2. 2. F. Gesztesy, H. Holden, B. Simon, and Z. Zhao, Higher order trace relations for Schrödinger operators, Rev. Math. Phys. 7 (1995), 893-922.
3. 3. F. Gesztesy and B. Simon, The xi function, Acta Math. 176 (1996), 49-71.
4. 4. H. Hochstadt, On the determination of a Hill's equation from its spectrum, Arch. Rat. Mech. Anal. 19 (1965), 353-362.
5. 5. P. Lax, Trace formulas for the Schrödinger operator, Comm. Pure Appl. Math. 47 (1994), 503-512.
6. 6. H. P. McKean and P. van Moerbeke, The spectrum of Hill's equation, Invent. Math. 30 (1975), 217-274.
7. 7. V. G. Papanicolaou, Trace formulas and the behavior of large eigenvalues, SIAM J. Math. Anal. 26 (1995), 218-237.
8. 8. B. Simon, "Functional Integration and Quantum Physics," Academic Press, New York, 1979.
9. 9. B. Simon, Schrödinger semigroups, Bull. Amer. Math. Soc. 7 (1982), 447-526.