Scattering theory without large-distance asymptotics in arbitrary dimensions
arXiv:1509.04611 · doi:10.1088/1751-8113/49/46/465202
Abstract
In conventional scattering theory, by large-distance asymptotics, at the cost of losing the information of the distance between target and observer, one imposes a large-distance asymptotics to achieve a scattering wave function which can be represented explicitly by a scattering phase shift. In this paper, without large-distance asymptotics, we establish an arbitrary-dimensional scattering theory. Arbitrary-dimensional scattering wave functions, scattering boundary conditions, cross sections, and phase shifts are given without large-distance asymptotics. The importance of an arbitrary-dimensional scattering theory is that the dimensional renormalization procedure in quantum field theory needs an arbitrary-dimensional result. Moreover, we give a discussion of one- and two-dimensional scatterings.
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- Gravitational wave scattering theory without large-distance asymptotics
- Probability Thermodynamics and Probability Quantum Field
- Acoustic scattering theory without large-distance asymptotics
- Non-local divergence-free currents for the account of symmetries in two-dimensional wave scattering
- Scattering approach for calculating one-loop effective action and vacuum energy
- Renormalization for singular-potential scattering
- Heat kernel approach for confined quantum gas