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On Justification of the Asymptotics of Eigenfunctions of the Absolutely Continuous Spectrum in the Problem of Three One-Dimensional Short-Range Quantum Particles with Repulsion
- Source :
- Journal of Mathematical Sciences. 238:566-590
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- The present paper offers a new approach to the construction of the coordinate asymptotics of the kernel of the resolvent of the Schrodinger operator in the scattering problem of three onedimensional quantum particles with short-range pair potentials. Within the framework of this approach, the asymptotics of eigenfunctions of the absolutely continuous spectrum of the Schrodinger operator can be constructed. In the paper, the possibility of a generalization of the suggested approach to the case of the scattering problem of N particles with arbitrary masses is discussed.
- Subjects :
- Statistics and Probability
Scattering
Applied Mathematics
General Mathematics
Operator (physics)
010102 general mathematics
Spectrum (functional analysis)
Eigenfunction
Absolute continuity
01 natural sciences
010305 fluids & plasmas
symbols.namesake
0103 physical sciences
symbols
0101 mathematics
Quantum
Schrödinger's cat
Resolvent
Mathematics
Mathematical physics
Subjects
Details
- ISSN :
- 15738795 and 10723374
- Volume :
- 238
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Sciences
- Accession number :
- edsair.doi...........bbe23079c3600326d304ebcdd728478c