Interacting Fermions in One Dimension. I. Repulsive Potential

Interacting Fermions in One Dimension. I. Repulsive Potential

The exact energies and wavefunctions for the ground state and low‐lying excited states of a system of N − 1 one‐dimensional fermions all of the same spin and one fermion of the opposite spin are calculated in the large‐volume, finite‐density limit when the particles interact via a repulsive delta fu...

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Veröffentlicht in:Journal of Mathematical Physics (New York) (U.S.) 1965-03, Vol.6 (3), p.432-439
1. Verfasser: McGuire, J. B.
Format: Artikel
Sprache:eng
Schlagworte:
ELECTRIC POTENTIAL
Elementary Particles and Radiations
ENERGY LEVELS
EXCITATION
FERMIONS
INTERACTIONS
MANY BODY PROBLEM
MASS
PHYSICS
QUANTUM MECHANICS
SPIN
VOLUME
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Beschreibung
Zusammenfassung:The exact energies and wavefunctions for the ground state and low‐lying excited states of a system of N − 1 one‐dimensional fermions all of the same spin and one fermion of the opposite spin are calculated in the large‐volume, finite‐density limit when the particles interact via a repulsive delta function potential. A number of properties of the system such as pair correlation functions and the effective mass of a certain class of excitations are also discussed.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1704291