More variations on Aharonov-Bohm
نویسندگان
چکیده
منابع مشابه
The Aharonov-Bohm Effects: Variations on a Subtle Theme
© 2009 American Institute of Physics, S-0031-9228-0909-020-6 Quantum phenomena that were once thought to limit measurement capabilities are now being harnessed to enhance them and to improve the sensitivity of nanometer-size devices. Persistent questioning and probing of quantum phenomena has yielded many such advances. However, the Aharonov–Bohm effect, a modern cornerstone of quantum mechanic...
متن کاملOn the Aharonov-Bohm Hamiltonian
Using the theory of self-adjoint extensions, we construct all the possible hamiltonians describing the non relativistic Aharonov-Bohm effect. In general the resulting hamiltonians are not rotationally invariant so that the angular momentum is not a constant of motion. Using an explicit formula for the resolvent, we describe the spectrum and compute the generalized eigenfunctions and the scatter...
متن کاملAharonov-Bohm radiation
A solenoid oscillating in vacuum will pair produce charged particles due to the Aharonov-Bohm (AB) interaction. We calculate the radiation pattern and power emitted for charged scalar particles. We extend the solenoid analysis to cosmic strings and find enhanced radiation from cusps and kinks on loops. We argue by analogy with the electromagnetic AB interaction that cosmic strings should emit p...
متن کاملComment on "Aharonov-Casher and scalar Aharonov-Bohm topological effects".
We reexamine the topological and nonlocal natures of the Aharonov-Casher and scalar Aharonov-Bohm phase effects. The underlying U(1) gauge structure is exhibited explicitly. And the conditions for developing topological Aharonov-Casher and scalar Aharonov-Bohm phases are clarified. We analyze the arguments of M. Peshkin and H. J. Lipkin [Phys. Rev. Lett. 74, 2847 (1995)] in detail and show that...
متن کاملThe Aharonov-Bohm Problem Revisited
The properties of a nonrelativistic charged particle in two-dimensions in the presence of an arbitrary number of nonquantized magnetic fluxes are investigated in free space as well as in a uniform magnetic field. The fluxes are represented mathematically as branch points in one of the complex@ coordinates. To construct many-flux solutions without a magnetic field, however, the fluxes must be tr...
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ژورنال
عنوان ژورنال: Physics Today
سال: 2010
ISSN: 0031-9228,1945-0699
DOI: 10.1063/1.4797318