NDLI: Finite-size Energy of Non-interacting Fermi Gases

Content Provider	Springer Nature Link
Author	Gebert, Martin
Copyright Year	2015
Abstract	We study the asymptotics of the difference of the ground-state energies of two non-interacting N-particle Fermi gases in a finite volume of length L in the thermodynamic limit up to order 1/L. We are particularly interested in subdominant terms proportional to 1/L, called finite-size energy. In the nineties (Affleck, Nuc. Phys. B 58, 35–41 1997; Zagoskin and Affleck, J. Phys. A 30, 5743–5765 1997) claimed that the finite-size energy is related to the decay exponent occurring in Anderson’s orthogonality. We prove that the finite-size energy depends on the details of the thermodynamic limit and is therefore non-universal. Typically, it includes an additional linear term in the scattering phase shift.
Ending Page	13
Page Count	13
Starting Page	1
File Format	PDF
ISSN	13850172
e-ISSN	15729656
Journal	Mathematical Physics, Analysis and Geometry
Issue Number	1
Volume Number	18
Language	English
Publisher	Springer Netherlands
Publisher Date	2015-10-17
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Geometry Scattering phase shift Selfadjoint operator theory in quantum theory, including spectral analysis Theoretical, Mathematical and Computational Physics Analysis Scattering theory, inverse scattering Group Theory and Generalizations Applications of Mathematics Schrödinger operators Spectral asymptotics
Content Type	Text
Resource Type	Article
Subject	Mathematical Physics Geometry and Topology

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