Showing papers in "Annals of Physics in 1970"

TL;DR: In this paper, the one-dimensional Ising model with a transverse field is solved exactly by transforming the set of Pauli operators to a new set of Fermi operators.

TL;DR: In this paper, it was shown that the matrix elements of the symmetric energy-momentum tensor are cut-off dependent in renormalized perturbation theory for most renormalizable field theories.

TL;DR: In this paper, the Boltzmann equation of dilute gases was derived with the aid of a generalized Langevin equation due to Mori, which was then used to obtain selfconsistent closed equations to determine time correlation functions of critical fluctuations.

TL;DR: In this article, the analytic properties of the singular perturbation theory for p2 + x2 + βx4 were studied, and it was shown rigorously that the singularities have ± 270° as asymptotic phase.

TL;DR: In this paper, the distribution of eigenvalues of the equation Δϕ + Eϕ = 0 is calculated for a volume V of arbitrary shape, and for the general boundary condition ∂ϕ ∂n = κϕ on the surface S, assumed to be smooth.

TL;DR: In this paper, a variant of General Relativity provides a model in which scale invariance of matter is a consistency requirement on its coupling to gravitation, and invariance breaking is introduced by giving a finite (cosmological) range to one of the gravitational variables; the Einstein and cosmological constants are then approximately determined by the average mass density of the universe.

TL;DR: A microscopic theory of the electric field induced infrared absorption by crystals of the diamond structure is presented in this paper, together with a determination of the modifications in the first-order Raman spectra of such crystals induced by externally applied electric fields and stresses.

TL;DR: In this article, a family of sum rules which relate the proton electromagnetic form factors to proton electroproduction cross sections are presented, which provide a test of the local commutation properties of the electric current operators.

TL;DR: In this paper, the renormalizeability of massive non-Abelian vector gauge fields is discussed using a functional integral technique, and it is shown that renormalization depends solely on that of the gauge variables, which are found to be non-renormalizeable.

TL;DR: In this paper, exact expressions for the transport properties of a degenerate Fermi liquid were derived by solving certain integral equations which were first derived by Abrikosov and Khalatnikov and by Hone.

TL;DR: In this article, a review of the calculations involving electromagnetic theory, where the forces are termed long-ranged van der Waals forces, or retarded dispersion forces, is presented, along with a heuristic connection between zero-point energy and semiclassical fluctuation phenomena.

TL;DR: In this article, the triton binding energy, doublet scattering length, Coulomb energy, and S′ -and D -state probabilities are determined within the framework of the Faddeev equations.

TL;DR: In this article, a theory of the Raman scattering of light by the optical vibration modes of polyatomic metals is presented, which describes the modulation of the electronic susceptibility tensor χ μν (ω) by long wavelength optical phonons.

TL;DR: In this paper, the properties of certain higher order phase-integral approximations related to the higher order JWKB approximation are discussed, and connection formulas are given for connection properties.

TL;DR: In this article, the authors studied how nucleon-nucleon correlations influence high-energy scattering by nuclei and formulated the scattering problem in terms of an infinite system of coupled equations.

TL;DR: In this paper, a one-dimensional model of a classical fluid is described in which many-body, although short-range, interactions of a "clustering" type are allowed in addition to shortrange pair interactions with a hard core.

TL;DR: In this article, the authors extended the compact-cluster formalism to the case of closed-shell nuclei and provided a detailed justification for the treatment of the exclusion principle, as first proposed by C. Wong.

TL;DR: In this paper, the nuclear Hamiltonian is expressed in terms of the total angular momentum variables, and of intrinsic particle coordinates by means of a contact transformation, and the intrinsic structure is approximated by a Hartree-Fock solution.

TL;DR: In this paper, a rigorous definition of conformal covariance of field equations in first and second quantized field theories is given, and the general implications of these definitions as well as the necessary and sufficient conditions for Poincare plus dilatation covariance to imply covariance are discussed.

TL;DR: In this article, the interconnections between the impulse approximation, unitarity, Glauber theory, and the multiple scattering series for high energies are examined, and an effective eikonal Hamiltonian is derived from which all the two-and three-body scattering results may be derived.

TL;DR: In this article, a simple particle-hole model was used to obtain inelastic electron scattering form factors and investigate the usefulness of Wigner supermultiplet theory as a predictive tool in studying weak and electromagnetic processes in light closed-shell nuclei.

TL;DR: In this article, the pion pole dominance of all Green's functions involving the divergence D of the axial vector current (DV current) and good chiral SU (2) × SU(2) symmetry framework has been investigated.

TL;DR: In this paper, a theory for the rates of excitation, deexcitation, and ionization arising from the impact of two heavy particles at thermal energies is presented, and the rates for the forward and backward transitions are shown to satisfy the principle of detailed balance.

TL;DR: In this article, an explicit and completely rigorous C ∗ algebra treatment of the simple model of the electron-positron field interacting with an external, classical electromagnetic field is presented.

TL;DR: In this paper, the authors contribute to the source description of gravitation due to Schwinger by developing the necessary gravitational modifications of the couplings of various Boson fields to their sources and by providing a numerical supplement to his qualitative discussion of two-particle exchange.

TL;DR: In this article, a one-boson exchange potential model for the ΛN interaction is described, which includes contributions from the following bosons: pseudoscalar, vector octets, and scalar and vector unitary singlets.

TL;DR: In this paper, the radial Schrodinger equation for a nonlocal potential was transformed to the local potential by using the coordinate representation of the nonlocal and local equations, and the transformation was shown to lead to unique expressions for the equivalent local potential and damping function.

TL;DR: In this article, the authors prove that the Hamiltonian H ( g ) for the Yukawa 2 interaction with a spatial cutoff is self-adjoint and define H( g ) as the limit of operators with an ultraviolet cutoff.

TL;DR: In this article, the phase of the wave function depends in critical way on the (3N − 2)-dimensional nodal manifolds and their circulation numbers, and a necessary and sufficient condition for the so-called paramagnetic part of the energy to vanish under a generalized gauge transformation is given.

TL;DR: In this paper, the authors studied the many-body cluster-interaction model in its critical region for a range of special potentials, principally: model (A) which is characterized by a surface exponent σ (⩽ 1 2 ) and a geometric exponent τc.