Exact Path-Integral Representations for the T-Matrix in Nonrelativistic Potential Scattering
نویسندگان
چکیده
منابع مشابه
Exact Path Integral for 3D Quantum Gravity.
Three-dimensional Euclidean pure gravity with a negative cosmological constant can be formulated in terms of the Chern-Simons theory, classically. This theory can be written in a supersymmetric way by introducing auxiliary gauginos and scalars. We calculate the exact partition function of this Chern-Simons theory by using the localization technique. Thus, we obtain the quantum gravity partition...
متن کاملIntegral for Nonrelativistic Quantum Electrodynamics
Abstract: The Feynman path integral for nonrelativistic quantum electrodynamics is studied mathematically of a standard model in physics, where the electromagnetic potential is assumed to be periodic with respect to a large box and quantized thorough its Fourier coefficients. In physics, the Feynman path integral for nonrelativistic quantum electrodynamics is defined very formally. For example,...
متن کاملPath Integral Representations for the Spin-Pinned Quantum XXZ Chain
Two discrete path integral formulations for the ground state of a spinpinned quantum anisotropic XXZ Heisenberg chain are introduced. Their properties are discussed and two recursion relations are proved. Departamento de Fisica-Matematica, Universidade de Sao Paulo, Sao Paulo 05315-970 Brazil Dipartimento di Matematica, Università di Bologna, 40127 Bologna, Italy Department of Mathematics, Univ...
متن کاملEnergy Dependence of the NN t-matrix in the Optical Potential for Elastic Nucleon-Nucleus Scattering
The influence of the energy dependence of the free NN t-matrix on the optical potential of nucleon-nucleus elastic scattering is investigated within the context of a full-folding model based on the impulse approximation. The treatment of the pole structure of the NN t-matrix, which has to be taken into account when integrating to negative energies is described in detail. We calculate proton-nuc...
متن کاملOn an exact path integral of the hydrogen atom
The path integral evaluation of the hydrogen atom by Duru and Kleinert is studied by recognizing it as a special case of the general treatment of the separable Hamiltonian of Liouville-type. The basic dynamical principle involved is identified as the Jacobi’s principle of least action for given energy which is reparametrization invariant, and thus the appearance of a gauge freedom is naturally ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Few-Body Systems
سال: 2010
ISSN: 0177-7963,1432-5411
DOI: 10.1007/s00601-010-0104-x