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Efficient solution of the relativistic APW secular equation for both eigenvalues and eigenvectors

Description: From international symposium on atomic, molecular, solidstate theory, and quantum statistics: Sanibel Island, Florida, USA (20 Jan 1974). The special problems introduced into the solution of the secular equation by the inclusion of relativistic effects are discussed. A method based on the use of linear combination of RAPW's is then described for solving the secular equation. This method greatly reduces the computer time and core space required to solve the secular problem and is particularly advantageous in large systems. (auth)
Date: January 1, 1974
Creator: Koelling, D.D.
Partner: UNT Libraries Government Documents Department

Examples of four-dimensional soliton solutions and abnormal nuclear states

Description: The classical soliton solution is defined to be one that (1) has finite and nonzero rest mass, and (2) is contained in a finite region in space. Starting with a relativistic boson field with nonlinear coupling, four dimensional quantum soliton solutions are discussed by considering the classical solution and then quantizing it by a general canonical procedure. Remarks are then given on the generalization of the soliton mechanism to include fermions, leading to abnormal nuclear states. (SDF)
Date: January 1, 1975
Creator: Lee, T.D.
Partner: UNT Libraries Government Documents Department

KONDO effect in the Anderson model

Description: The Green's function solution of the Anderson model calculated by the functional derivative method developed earlier is shown to yield the density of states having the three-peak structure proposed by Gruner and Zawadowski where the central peak indeed introduces the lnT dependence. (auth)
Date: January 1, 1975
Creator: Arai, T.
Partner: UNT Libraries Government Documents Department

Non-relativistic current algebra in the N/V limit

Description: The case of a noninteracting infinite Bose gas at zero temperature is studied in the formalism of local current algebras, using the representation theory of nuclear Lie groups. The class of representations describing such a system is obtained by taking an N/V limit'' of the finite case. These representations can also be determined uniquely from the solutions of a functional differential equation, which follows in turn from a condition on the ground state vector. Finally a system of functional differential equations is formulated for a theory with interactions, using a proposed definition of indefinite functional integration. (auth)
Date: December 18, 1973
Creator: Goldin, G.A.; Grodnik, J.; Powers, R.T. & Sharp, D.H.
Partner: UNT Libraries Government Documents Department

Text, figures, and examples for the refresher course ''practical statistics for the health physicist''

Description: From eighteenth Health Physics Society meeting; Miami Beach, Florida, USA (17 Jun 1973). A refresher course to provide a practical approach to the use of statistical concepts in interpreting data related to problems of applied health physics is given. After a brief review of the theoretical probability distributions, emphasis is placed on counting statistics, in particular the concept of the standard deviation. In this category the following topics are covered: (1) calculation of the standard deviation, (2) propagation of errors (when two or more quantities are combined arithmetically or via a formula), (3) confidence limits, and (4) the null hypothesis. The following topics are also discussed. (1) Chi-Square in relation to checking the reliability of a counting instrument, (2) correction factors for deadtime losses, and (3) for the case of a decaying source. (auth)
Date: September 11, 1973
Creator: Ash, J.A.
Partner: UNT Libraries Government Documents Department