Results 11 to 20 of about 979 (82)

Asymptotic Integration of a Certain Second-Order Linear Delay Differential Equation

Моделирование и анализ информационных систем, 2016
We construct some asymptotic formulas for solutions of a certain linear second-order delay differential equation when the independent variable tends to infinity. Two features concerning the considered equation should be emphasized. First, the coefficient
P. N. Nesterov
doaj   +1 more source

Energy, Central Charge, and the BPS Bound for 1+1 Dimensional Supersymmetric Solitons [PDF]

, 1999
We consider one-loop quantum corrections to soliton energies and central charges in the supersymmetric $\phi^4$ and sine-Gordon models in 1+1 dimensions.
Ahn, Ahn, Barton, Chatterjee, Chatterjee, d'Adda, d'Adda, Farhi, Horsley, Imbimbo, Jackiw, Kaul, Morse, N. Graham, Olive, R.L. Jaffe, Rebhan, Rouhani, Schiff, Schonfeld, Schoutens, Uchiyama, Uchiyama, Uchiyama, Yamagishi   +24 more
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Parametric sensitivity analysis for the helium dimers on a model potential

Química Nova, 2012
Potential parameters sensitivity analysis for helium unlike molecules, HeNe, HeAr, HeKr and HeXe is the subject of this work. Number of bound states these rare gas dimers can support, for different angular momentum, will be presented and discussed.
Nelson Henrique Teixeira Lemes, Vitor D. Viterbo, Rita C. O. Sebastião, João P. Braga   +3 more
doaj   +1 more source

Casimir Effects in Renormalizable Quantum Field Theories [PDF]

, 2002
We review the framework we and our collaborators have developed for the study of one-loop quantum corrections to extended field configurations in renormalizable quantum field theories.
Adda A., Bashinsky S. V., Blankenbecler R., Bordag M., Dunne G., Dunne G., Farhi E., Farhi E., Graham N., Graham N., HERBERT WEIGEL, Jackiw R., NOAH GRAHAM, Parnachev A., ROBERT L. JAFFE, Shifman M.   +15 more
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Levinson's Theorem for Dirac Particles

, 1993
Levinson's theorem for Dirac particles constraints the sum of the phase shifts at threshold by the total number of bound states of the Dirac equation. Recently, a stronger version of Levinson's theorem has been proven in which the value of the positive ...
C.J. Horowitz, D.K. Campbell, G. Parzen, Guang Jiong Ni, J. Piekarewicz, J.D. Walecka, M. C. Barthelemy, N. Levinson, Nathan Poliatzky, Nathan Poliatzky, W.A. Bardeen, Zhong Qi Ma   +11 more
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The spectral shift function and Levinson's theorem for quantum star graphs

, 2012
We consider the Schr\"odinger operator on a star shaped graph with $n$ edges joined at a single vertex. We derive an expression for the trace of the difference of the perturbed and unperturbed resolvent in terms of a Wronskian.
Albeverio S., Bollé D., Buslaev V. S., Gerasimenko N. I., Lifshits I. M., Semra Demirel, Simon B., Yafaev D. R.   +7 more
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Levinson theorem for Dirac particles in one dimension [PDF]

, 1999
The scattering of Dirac particles by symmetric potentials in one dimension is studied. A Levinson theorem is established. By this theorem, the number of bound states with even (odd) parity, $n_+$ ($n_-$), is related to the phase shifts $\eta_+(\pm E_k)$ [
Lin, Qiong-gui
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Variable phase equation in quantum scattering

Revista Brasileira de Ensino de Física
This paper presents the derivation and applications of the variable phase equation for single channel quantum scattering. The approach was first presented in 1933 by Morse and Allis and is based on a modification of the Schrödinger equation to a first ...
Vitor D. Viterbo, Nelson H.T. Lemes, João P. Braga   +2 more
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Levinson's theorem for graphs

, 2011
We prove an analog of Levinson's theorem for scattering on a weighted (m+1)-vertex graph with a semi-infinite path attached to one of its vertices. In particular, we show that the number of bound states in such a scattering problem is equal to m minus ...
Childs, Andrew M., Strouse, DJ
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Spectral Methods for Coupled Channels with a Mass Gap [PDF]

, 2018
We develop a method to compute the vacuum polarization energy for coupled scalar fields with different masses scattering off a background potential in one space dimension.
Graham, N., Quandt, M., Weigel, H.
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