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A solution of the Gross-Witten matrix model by nonlinear random processes
the Gross-Witten matrix model nonlinear random processes
2010/12/27
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. I...
Nonlinear Psychometric Thresholds for Physics and Mathematics
Nonlinear Psychometric Thresholds Physics Mathematics
2010/11/12
We analyze 5 years of student records at the University of Oregon to estimate the probability of success (as defined by superior undergraduate record; sufficient for admission to graduate school) in ...
Integrability of two-component nonautonomous nonlinear Schrödinger equation
two-component nonautonomous nonlinear Schrö dinger equation
2010/11/16
We investigate the integrability of generalized nonautonomous nonlinear Schr\"odinger (NLS) equations governing the dynamics of the single- and double-component Bose-Einstein condensates (BECs). The ...
Equivalence of O(3) nonlinear sigma model and the CP1 model: A path integral approach
O(3) nonlinear sigma model CP1 model integral approach
2010/11/8
A rigorous proof is given on the equivalence of the O(3) nonlinear sigma model and the CP1 model via path integral approach.
Finite temperature Casimir effect in the presence of nonlinear dielectrics
Finite temperature Casimir presence nonlinear dielectrics
2010/11/8
Starting from a Lagrangian, electromagnetic field in the presence of a nonlinear dielectric medium is quantized using path-integral techniques and correlation functions of different fields are calcula...