The Experts below are selected from a list of 267 Experts worldwide ranked by ideXlab platform
Harold Widom - One of the best experts on this subject based on the ideXlab platform.
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on the ground state energy of the Delta Function fermi gas
Journal of Mathematical Physics, 2016Co-Authors: Craig A Tracy, Harold WidomAbstract:The weak coupling asymptotics to order γ of the ground state energy of the Delta-Function Fermi gas, derived heuristically in the literature, is here made rigorous. Further asymptotics are in principle computable. The analysis applies to the Gaudin integral equation, a method previously used by one of the authors for the asymptotics of large Toeplitz matrices.
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the dynamics of the one dimensional Delta Function bose gas
Journal of Physics A, 2008Co-Authors: Craig A Tracy, Harold WidomAbstract:We give a method to solve the time-dependent Schroedinger equation for a system of one-dimensional bosons interacting via a repulsive Delta Function potential. The method uses the ideas of Bethe Ansatz but does not use the spectral theory of the associated Hamiltonian.
R W Robinett - One of the best experts on this subject based on the ideXlab platform.
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the infinite well and dirac Delta Function potentials as pedagogical mathematical and physical models in quantum mechanics
Physics Reports, 2014Co-Authors: Mario Belloni, R W RobinettAbstract:Abstract The infinite square well and the attractive Dirac Delta Function potentials are arguably two of the most widely used models of one-dimensional bound-state systems in quantum mechanics. These models frequently appear in the research literature and are staples in the teaching of quantum theory on all levels. We review the history, mathematical properties, and visualization of these models, their many variations, and their applications to physical systems.
Cao Yang - One of the best experts on this subject based on the ideXlab platform.
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spinless bosons in a 1d harmonic trap with repulsive Delta Function interparticle interaction ii numerical solutions
Chinese Physics Letters, 2010Co-Authors: M A Zhongqi, Cao YangAbstract:Following the general theory developed in paper I [Chin. Phys. Lett. 26 (2009) 120506] we present here the numerical results for an N spinless boson system in a 1D harmonic trap with repulsive Delta Function interparticle interaction as N ? ?, with ?N/g = fixed.
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ground state energy for fermions in a 1d harmonic trap with Delta Function interaction
Chinese Physics Letters, 2009Co-Authors: M A Zhongqi, Cao YangAbstract:Conjectures are made for the ground state energy of a large spin 1/2 Fermion system trapped in a 1D harmonic trap with Delta Function interaction. States with different spin J are separately studied. The Thomas–Fermi method is used as an effective test for the conjecture.
Craig A Tracy - One of the best experts on this subject based on the ideXlab platform.
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on the ground state energy of the Delta Function fermi gas
Journal of Mathematical Physics, 2016Co-Authors: Craig A Tracy, Harold WidomAbstract:The weak coupling asymptotics to order γ of the ground state energy of the Delta-Function Fermi gas, derived heuristically in the literature, is here made rigorous. Further asymptotics are in principle computable. The analysis applies to the Gaudin integral equation, a method previously used by one of the authors for the asymptotics of large Toeplitz matrices.
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the dynamics of the one dimensional Delta Function bose gas
Journal of Physics A, 2008Co-Authors: Craig A Tracy, Harold WidomAbstract:We give a method to solve the time-dependent Schroedinger equation for a system of one-dimensional bosons interacting via a repulsive Delta Function potential. The method uses the ideas of Bethe Ansatz but does not use the spectral theory of the associated Hamiltonian.
Chen Ning Yang - One of the best experts on this subject based on the ideXlab platform.
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one dimensional w component fermions and bosons with repulsive Delta Function interaction
Chinese Physics Letters, 2011Co-Authors: Chen Ning YangAbstract:We prove in theorems 2 and 3 that for 1D Bosons with repulsive Delta Function interaction with any number of components and any Young tableau, the energy per particle as N ? ? is the same as for spinless Bosons.
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Ground State of Fermions in a 1D Trap with $\Delta$ Function Interaction
arXiv: Strongly Correlated Electrons, 2009Co-Authors: Chen Ning YangAbstract:The ground state of Fermions in a 1D trap with $\Delta$ Function interaction is studied mathematically with group theory ideas.
