Zobrazeno 1 - 10
of 236
pro vyhledávání: '"Rosenfelder, R."'
Autor:
Rosenfelder, R.
Ooura's double exponential integration formula for Fourier transforms is applied to the oscillatory integrals occuring in the path-integral description of real-time Quantum Mechanics. Due to an inherent, implicit regularization multi-dimensional Gaus
Externí odkaz:
http://arxiv.org/abs/2105.02880
Autor:
Rosenfelder, R.
Publikováno v:
J. Math. Phys. 55 (2014), 032106
Starting from well-known expressions for the $T$-matrix and its derivative in standard nonrelativistic potential scattering I rederive recent path-integral formulations due to Efimov and Barbashov et al. Some new relations follow immediately.
Co
Co
Externí odkaz:
http://arxiv.org/abs/1302.3419
Autor:
Rosenfelder, R.
These lectures are intended for graduate students who want to acquire a working knowledge of path integral methods in a wide variety of fields in physics. In general the presentation is elementary and path integrals are developed in the usual heurist
Externí odkaz:
http://arxiv.org/abs/1209.1315
Autor:
Carron, J., Rosenfelder, R.
Publikováno v:
Phys. Lett. A 375 (2011) 3781
We employ the method used by Barbashov and collaborators in Quantum Field Theory to derive a path-integral representation of the $T$-matrix in nonrelativistic potential scattering which is free of functional integration over fictitious variables as w
Externí odkaz:
http://arxiv.org/abs/1107.3034
Autor:
Rosenfelder, R.
Publikováno v:
Few Body Syst.49:41-50,2011
Several path integral representations for the $T$-matrix in nonrelativistic potential scattering are given which produce the complete Born series when expanded to all orders and the eikonal approximation if the quantum fluctuations are suppressed. Th
Externí odkaz:
http://arxiv.org/abs/1008.1718
Autor:
Carron, J., Rosenfelder, R.
Publikováno v:
Eur.Phys.J.A45:193-215,2010
Using a recent path integral representation for the T-matrix in nonrelativistic potential scattering we investigate new variational approximations in this framework. By means of the Feynman-Jensen variational principle and the most general ansatz qua
Externí odkaz:
http://arxiv.org/abs/0912.4429
Autor:
Rosenfelder, R.
Publikováno v:
Phys.Rev.A79:012701,2009
Two path integral representations for the $T$-matrix in nonrelativistic potential scattering are derived and proved to produce the complete Born series when expanded to all orders. They are obtained with the help of "phantom" degrees of freedom which
Externí odkaz:
http://arxiv.org/abs/0806.3217
Autor:
Rosenfelder, R.
Publikováno v:
Phys.Rev.E79:016705,2009
Higher-order perturbative calculations in Quantum (Field) Theory suffer from the factorial increase of the number of individual diagrams. Here I describe an approach which evaluates the total contribution numerically for finite temperature from the c
Externí odkaz:
http://arxiv.org/abs/0805.4525
Autor:
Rosenfelder, R.
Higher-order perturbative calculations in Quantum (Field) Theory suffer from the factorial increase of the number of individual diagrams. Here I describe an approach which evaluates the total contribution numerically for finite temperature from the c
Externí odkaz:
http://arxiv.org/abs/0711.3989
Autor:
Rosenfelder, R.
Filon-Simpson quadrature rules are derived for integrals of the type \int_a^b dx f(x) sin(xy)/(xy) and \int_a^b dx f(x) 4 sin^2(xy/2)/(xy)^2 which are needed in applications of the worldline variational approach to Quantum Field Theory. These new int
Externí odkaz:
http://arxiv.org/abs/hep-ph/0603161