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Scattering theory without large-distance asymptotics in arbitrary dimensions
- Source :
- Journal of Physics A: Mathematical and Theoretical. 49:465202
- Publication Year :
- 2016
- Publisher :
- IOP Publishing, 2016.
-
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.
- Subjects :
- Statistics and Probability
Physics
Observer (quantum physics)
010308 nuclear & particles physics
Scattering
Mathematical analysis
Phase (waves)
FOS: Physical sciences
General Physics and Astronomy
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
01 natural sciences
Renormalization
Modeling and Simulation
0103 physical sciences
Scattering theory
Boundary value problem
010306 general physics
Wave function
Large distance
Mathematical Physics
Subjects
Details
- ISSN :
- 17518121 and 17518113
- Volume :
- 49
- Database :
- OpenAIRE
- Journal :
- Journal of Physics A: Mathematical and Theoretical
- Accession number :
- edsair.doi.dedup.....2f6247ff60356844cc333d10a6f50a0f