Friedel sum rule, Levinson theorem, and the Atiyah-Singer index
Journal Article
·
· Physical Review. A
- Department of Physics, National Sun Yat-sen University, Kaohsiung, Taiwan (China)
With the chiral representation, the Friedel sum rule for chiral fermions in odd space dimensions is given and the Levinson theorem which determines the number of discrete zero modes is obtained. Furthermore, the connections among the Friedel sum, Levinson theorem, and the Atiyah-Singer index are discussed, thereby proving that the Euclidean Atiyah-Singer index for the background field that describes an arbitrary short-range central force is zero.
- OSTI ID:
- 20982246
- Journal Information:
- Physical Review. A, Vol. 75, Issue 3; Other Information: DOI: 10.1103/PhysRevA.75.032115; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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