Eigenvalues variations for Aharonov-Bohm operators
نویسندگان
چکیده
منابع مشابه
Aharonov and Bohm vs. Welsh eigenvalues
We consider a class of two-dimensional Schrödinger operator with a singular interaction of the δ type and a fixed strength β supported by an infinite family of concentric, equidistantly spaced circles, and discuss what happens below the essential spectrum when the system is amended by an Aharonov-Bohm flux α ∈ [0, 1 2 ] in the center. It is shown that if β ̸= 0, there is a critical value αcrit ∈...
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© 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...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2015
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4905647