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Aharonov–Bohm scattering and the velocity operator
- Source :
- Journal of Mathematical Physics. 22:116-117
- Publication Year :
- 1981
- Publisher :
- AIP Publishing, 1981.
-
Abstract
- It is shown that the existence of Aharonov–Bohm scattering depends upon the criteria used for establishing the stationary states. If one applies Pauli’s criterion, there is no scattering. It is shown further that applying the usual criteria that the wave functions be continuous and single valued, as was done by Aharonov and Bohm, leads to stationary state wave functions which, with two exceptions, are eigenstates of the acceleration operator corresponding to eigenvalue zero. The acceleration operator is undefined for the remaining two states. Thus, only the eigenfunctions satisfying the Pauli criterion lead to well‐defined, sensible physics.
- Subjects :
- Physics
Scattering
Operator (physics)
Statistical and Nonlinear Physics
Acceleration (differential geometry)
Eigenfunction
Condensed Matter::Mesoscopic Systems and Quantum Hall Effect
symbols.namesake
Pauli exclusion principle
Quantum mechanics
symbols
Wave function
Mathematical Physics
Stationary state
Eigenvalues and eigenvectors
Subjects
Details
- ISSN :
- 10897658 and 00222488
- Volume :
- 22
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Physics
- Accession number :
- edsair.doi...........5614f5ce13cce086675c6db62640908d