UScholar Works
 
Filters: Format Medium: "application/pdf" Journal Title: "Journal of Mathematical Physics" Collection: "ir_uspace"
1 - 25 of 11
Number of results to display per page
CreatorTitleDescriptionSubjectDate
1 Mattis, Daniel C.Exact solution of a many-fermion system and its associated boson fieldLuttinger's exactly soluble model of a one-dimensional many-fermion system is discussed. We show that he did not solve his model properly because of the paradoxical fact that the density operator commutators [p(p), p(-p')], which always vanish for any finite number of particles, no longer vanish in ...Many-electron problem; Fermi surface; Boson field; Dirac sea1965
2 Mattis, Daniel C.Exact wave functions in superconductivityThe ground-state wave function and some of the excited states of the BCS reduced Hamiltonian are found. In the limit of large volume, the boundary and continuity conditions on the exact wave function lead directly to the equations which Bardeen, Cooper, and Schrieffer found by a variational techniqu...Ground states1961
3 Mattis, Daniel C.Exactly soluble model of interacting electronsWe diagonalize a many-fermion Hamiltonian consisting of terms quadratic as well as quartic in the field operators. A dual spectrum of eigenstates is an interesting result. We also derive a formula for obtaining the free energy at finite temperature.Eigenstates; Free energy; Excitation spectrum1972
4 Mattis, Daniel C.Magnetization of Ising model in nonzero magnetic fieldKnowing only the zero-field magnetization (e.g., Yang's result) of the Ising model in any number of dimensions, one can construct a lower bound on m(h), the magnetization in finite field. Knowledge of u, the internal energy per bond, enables a more efficient lower bound to be constructed. Both are ...Magnetization; Griffiths inequality1969
5 Wu, Yong-ShiMassless fermions and Kaluza-Klein theory with torsionA pure Kaluza-Klein theory contains no massless fermion in four-dimensional theory. We investigate the effect of introducing torsion on the internal manifold and find that there are massless fermions. The hope is that given an isometry group the representation to which these fermions belong is fixe...Massless fermions; Four-dimensional theory; Torsion1984
6 Mattis, Daniel C.New wave-operator identity applied to the study of persistent currents in 1DWe show that a large class of backward-scattering matrix elements involving Δk ~ + 2k F vanish for fermions interacting with two-body attractive forces in one dimension. (These same matrix elements are finite for noninteracting particles and infinite for particles interacting with two-body repulsiv...Persistent current; Supercurrents1974
7 Wu, Yong-ShiOn the Kadomtsev-Petviashvili hierarchy, Ŵ∞ algebra, and conformal SL(2,R)/U(1) model. II. The quantum caseThis article is devoted to constructing a quantum version of the famous Kadomtsev-Petviashvili (KP) hierarchy by deforming its second Hamiltonian structure, namely, the nonlinear W, algebra. This is achieved bx quantizing the conformal noncompact SL(2,R) k/ U(1) coset model, in which W, appears as ...Kadomtsev-Petviashvili hierarchy; Quantum charges; W-algebras1993
8 Mattis, Daniel C.Ordering energy levels of interacting spin systemsThe total spin S is a good quantum number in problems of interacting spins. We have shown that for rather general antiferromagnetic or ferrimagnetic Hamiltonians, which need not exhibit translational invariance, the lowest energy eigenvalue for each value of S [denoted E(S) ] is ordered in a natural...Interacting spin; Energy levels; Ferrimagnetic arrays1962
9 Golden, Kenneth M.Statistical mechanics of conducting phase transitionsThe critical behavior of the effective conductivity o* of the random resistor network in Zd, near its percolation threshold, is considered. The network has bonds assigned the conductivities 1 and E >_0 in the volume fractions p and 1 -p. Motivated by the statistical mechanics of an Ising ferromagn...Resistor; Ising; Ferromagnet1995
10 Mattis, Daniel C.; Sutherland, BillStrange solutions to field theories in one spatial dimensionMany models of interacting particles rely heavily for their solution on restriction to one-dimensional motion and a linearized kinetic energy. We examine this in detail, and find that the linearization can lead to patently strange and possible spurious solutions in first quantization. The usual, co...Eigenstates; Field theories1981
11 Mattis, Daniel C.Theory of paramagnetic impurities in semiconductorsIn this paper, a model of a paramagnetic impurity in a semiconductor (or of an F' center in an alkali halide) is proposed. It is an exactly soluble form of the quantum-mechanical 3-body problem. Specifically, we deal with 2 interacting particles in any number of dimensions in an attractive external ...Paramagnetic impurities; Eigenstates1966
1 - 25 of 11