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Infrared Catastrophe in Fermi Gases with Local Scattering Potentials
Abstract
We prove that the ground state of a system of $N$ fermions is orthogonal to the ground state in the presence of a finite range scattering potential, as $N\ensuremath{\rightarrow}\ensuremath{\infty}$. This implies that the response to application of such a potential involves only emission of excitations into the continuum, and that certain processes in Fermi gases may be blocked by orthogonality in a low-$T$, low-energy limit.
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Cited by
Many-electron singularity in X-ray photoemission and X-ray line spectra from metals
Doniach, S., & Sunjic, M. (1970) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/3/2/010 · Cited by 2,577
Electron counting statistics and coherent states of electric current
Levitov, L. S., Lee, H., & Lesovik, G. B. (1996) · Journal of Mathematical Physics · doi:10.1063/1.531672 · Cited by 949
Excitons in Metals: Infinite Hole Mass
Mahan, G. D. (1967) · Physical Review · doi:10.1103/physrev.163.612 · Cited by 852
Core-level binding-energy shifts at surfaces and in solids
Egelhoff, W. F. (1987) · Surface Science Reports · doi:10.1016/0167-5729(87)90007-0 · Cited by 768
FIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS
GU, S.-J. (2010) · International Journal of Modern Physics B · doi:10.1142/s0217979210056335 · Cited by 663
Metadata
- Authors
- Anderson, P. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1967-06-12
- Volume
- 18
- Issue
- 24
- Pages
- 1049-1051
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2061206493
- Cited by
- 1,110
- References
- 0
- FWCI
- 6.96
- Type
- journal article
- Language
- en
- Open access
- closed
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- Anderson, P. W. (1967). Infrared Catastrophe in Fermi Gases with Local Scattering Potentials. Physical Review Letters. https://doi.org/10.1103/physrevlett.18.1049
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