Showing papers in "Annals of Physics in 1993"

TL;DR: In this paper, a new approach to the theory of the geometric phase in quantum mechanics, based entirely on kinematic ideas, is developed, and it is shown that a gauge and reparametrization invariant phase can be naturally associated with any smooth open curve of unit vectors in Hilbert space.

TL;DR: In this paper, the standard theory of frames in Hilbert spaces, using discrete bases, is generalized to one where the basis vectors may be labelled using discrete, continuous, or a mixture of the two types of indices.

TL;DR: In this article, a connection between renormalizability and the hyperscaling relations between the theory's critical exponents is made explicit, and results of extensive numerical simulations of the simplest model for d = 3 are presented.

TL;DR: A new analytical method for calculating the one-loop self-energy correction to the Lamb shift by expanding the Dirac-Coulomb propagator in powers of the Coulomb field is presented in detail.

TL;DR: In this article, the spectrum, the total radiated energy, the radiative reaction force, and its distribution over the body were derived for a one-dimensional scalar model with just one body.

TL;DR: The quantum kinematic approach to geometric phases, developed in a preceding paper, is applied to the case of phases arising from unitary representations of Lie groups on Hilbert space, and specific features of this situation are brought out by fully exploiting the (Lie) algebraic and geometric aspects that are naturally available.

TL;DR: In this paper, a quantum-algebraic framework for many q-special functions is provided, and the two-dimensional Euclidean quantum algebra, slq(2) and the q-oscillator algebra are considered.

TL;DR: In this article, the proper time pathintegral representation for the two-body Green′s function is derived for several examples of field theory, e.g., the φ3 theory in 4d, scalar and spinor QED, and its properties are studied in the quenched approximation.

TL;DR: In this article, a vector bundle over the moduli space of BPS monopoles is constructed from the zero-modes of the Dirac operator acting on spinors and coupled to BPSs.

TL;DR: In this article, it was shown rigorously in a causal theory that a gaussian wave packet, incident from the left on a potential barrier, turns up on the right side of the barrier at an earlier time than would appear to be allowed by causal propagation.

TL;DR: In this paper, the authors derived dynamic perturbation equations for a generic stationary state of an elastic string model and showed that the stability of these models is dependent on the values of the characteristic propagation velocity.

TL;DR: In this article, the density response of an interacting Fermi system at finite temperature was calculated from a generalization of Landau′s kinetic equation for quasiparticles, and detailed calculations were made for a form of the interaction function, ƒpp′, that allows for scalar and vector molecular fields.

TL;DR: In this paper, the renormalization of scalar φ4 theory for D = 4 and scalar ε = 6 is carried out at one and two loops using the technique of nonlocal regularization.

TL;DR: In this article, a covariant tensor notation is developed in which gauge invariance of the formalism is manifest, and matter couplings are constructed in a gauge invariant fashion both for point particles and Fermi fields.

TL;DR: In this paper, the chiral and large Nc expansions are compared in the soliton sector and the one-loop contribution to the particle mass is evaluated using ζ-function techniques.

TL;DR: In this paper, it is shown how matrix elements of the form x | e−iHt | y can be evaluated perturbatively using a path integral encountered in the quantum mechanics of a single particle.

TL;DR: In this article, the spin-orbit coupling in a deformed system is studied by approximating the Schrodinger equation semiclassically and the discrete character of spin is preserved and WKB techniques are used for the coupled two-component wave equations.

TL;DR: The Hamiltonian formulation of the Vlasov-Einstein system, which is appropriate for collisionless, self-gravitating systems like clusters of stars that are so dense that gravity must be described by the Einstein equation, is presented in this article.

TL;DR: In this article, the quantum field (Euclidean) measure for compact surfaces, possibly with boundary, with simply-connected compact gauge groups is constructed using a conditioned Gaussian measure on a non-linear space.

TL;DR: In this article, the recursive Lanczos method for solving the Schrodinger equation is applied to systems with dynamical symmetries and given a group theoretical formulation, and an algebraic interpretation of various classical orthogonal polynomials of a discrete variable is obtained in this quantum mechanical context.

TL;DR: In this paper, the relativistic particle and energy densities for a set of fermions submitted to a scalar field and to the time-like component of a four-vector field are derived in the Wigner-Kirkwood and Thomas-Fermi mean field theories, including gradient corrections up to order ħ2.

TL;DR: In this paper, a phenomenological description of fatigue that directly links total hysteresis energy dissipation, the cumulation of material damage, and the average number of loading cycles leading to failure is presented.

TL;DR: In this article, the longitudinal and transverse responses of 12C, in the region of the quasi-elastic peak, have been calculated within a continuum shell model, where the contribution of meson exchange currents has been taken into account.

TL;DR: In this article, the derivation of the kernel for the Feynman chessboard model in 1 + 1 dimensions is sketched in such a way that a formal extension to 3+1 dimensions is readily obtained.

TL;DR: The blocking approach to the renormalization group by Kadanoff and Wilson is presented in the loop expansion as discussed by the authors, which generates the local irrelevant operators as well and makes the investigation of the infrared fixed point possible in a systematical manner.

TL;DR: In this paper, Weinberg's nonlinear generalization of quantum dynamics is reconstructed in terms of density-matrix elements, as suggested by Polchinski, to allow independent dynamics for subsystems.

TL;DR: The complete hydrodynamic theory of polarizable and magnetizable isotropic liquids is presented in this article, which is a century-old problem that we claim to have solved.

TL;DR: In this paper, the general theory of frames, analyzed mathematically in the preceeding paper, is applied hereto the problem of quantizing a classical system and concrete examples of quantum frames, each generated by a single vector (thequantum probe), are constructed, for three different relativities-Galilei, Poincare, and anti-deSitter-and their mutual relationship, in terms of group contraction, is explored.

TL;DR: In this article, a coordinate space renormalization of massless quantum electrodynamics using the powerful method of differential renormalisation is presented, where one-loop amplitudes are finite at non-coincident external points, but do not accept a Fourier transform into momentum space.

TL;DR: In this paper, it was shown that at large N the semiclassical limit is appropriate for the d = 1 theory, i.e., for the quartic oscillator, and that in cases with two real turning points (single well) the N!λN behaviour is replaced by e−πN for N > O(1/λ) and that even at energies near the top of the barrier, there is still an exponential barrier factor which equals the square root of the ground state level.