Within the last year
Within the past 3 years
1 - 10 of 25 articles
A theorem on the Clebsch‐Gordan series conjectured by B. Vitale is proved using simple Young diagram techniques.
An analytic and complete solution of Einstein's field equations without the Λ term is presented for a dust‐filled universe ( p = 0). The solution is stationary and inhomogeneous and does not contain any closed time‐like lines. Also some of the properties of the solution are studied.
The present paper develops a nonlinear theory for the deformation of an elastic directed surface by assuming the existence of a strain energy function and postulating a principle of virtual work which governs its mechanical behavior. The equations of equilibrium and the boundary conditions are...
The solutions of Einstein's vacuum field equations, R μν = 0, are found when quasi‐oblate and prolate spheroidal coordinates are used. The solutions for the ``Newtonian'' potential can be written as a linear combination of Legendre polynomides of integral order l . For oblate coordinates the...
The generators of SU (3) are represented by differential operators which act on states represented by functions of six independent variables. Orthonormal bases for irreducible representations are presented in the form of polynomials. These are used to construct bases for product representations,...
The most general Clebsch‐Gordan coefficients to reduce the physically most important n ‐fold product representations of the groups P + ↑ and P (Universal covering groups of the restricted and full inhomogemeous Lorentz groups) are derived. They are used to answer the question: What can be...
The question of the possible existence of multiple poles in the S ‐matrix is discussed. It is shown by means of a simple model that such poles are not generally incompatible with Lagrangian field theory and can only be excluded in axiomatic formulations by the assumption of a unique...
Upper and lower bounds are obtained for canonical ensemble averages. The bounds are expressed entirely in terms of averages with respect to an arbitrary unperturbed canonical ensemble density operator. A weak form of the derived bounds is used to show that, for magnetic fields exceeding a given...
Recently Lebowitz and Penrose gave a rigorous derivation of the van der Waals-Maxwell theory of the liquid-vapor transition, and showed how the Maxwell equal area-rule could be obtained from a proper statistical mechanical calculation. Their results are quite general—being valid in any number...
A method of obtaining Komar's covariant formulation of the conservation laws of general relativity directly from the variation of the scalar curvature density is presented. The procedure of obtaining this expression is free of the addition of arbitrary elements and only tensorial terms and...
Read and print from thousands of top scholarly journals.
Sign up with Facebook
Sign up with Google
Already have an account? Log in
Save this article to read later. You can see your Read Later on your DeepDyve homepage.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Sign Up Log In
To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.
To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.