article
Quantum Many-Body Problem in One Dimension: Ground State
Journal of Mathematical Physics · 1971 · Vol. 12(2) · pp. 246–250
Bill Sutherland✉(University of California, Berkeley)
Abstract
We investigate the ground state of a system of either fermions or bosons interacting in one dimension by a 2-body potential V(r) = g/r2. In the thermodynamic limit, we determine the ground state energy and pair correlation function.
Cold Atom Physics and Bose-Einstein CondensatesQuantum, superfluid, helium dynamicsAdvanced Chemical Physics StudiesGround stateBosonFermionPhysicsDimension (graph theory)Thermodynamic limitQuantum mechanicsLimit (mathematics)Many-body problemMathematical physics
Funding
- National Science Foundation
Citations
662
FWCI
0.84
field-weighted impact
References
10
Percentile
67%
vs. same field & year
Citations per year
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References
Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
Physical Review · 1963 · 2,626 citations
Existence of a phase-transition in a one-dimensional Ising ferromagnet
Communications in Mathematical Physics · 1969 · 908 citations
Solution of a Three-Body Problem in One Dimension
Journal of Mathematical Physics · 1969 · 1,019 citations
Characteristic Vectors of Bordered Matrices With Infinite Dimensions
Annals of Mathematics · 1955 · 1,506 citations
Statistical Theory of the Energy Levels of Complex Systems. III
Journal of Mathematical Physics · 1962 · 574 citations
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