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- W1694037497 abstract "We investigate the two-dimensional magnetic operator $H_{c_0,B,beta} = {(-inabla -A)}^{2}-betadelta(.-Gamma),$ where $Gamma$ is a smooth loop. The vector potential has the form $A=c_0bigg(frac{-y}{{x^2+y^2}}; frac{x}{{x^2+y^2}} bigg)+ frac{B}{2}bigg(-y; xbigg) $; $B>0,$ $c_0in]0;1[$. The asymptotics of negative eigenvalues of $H_{c_0,B,beta}$ for $beta longrightarrow +infty$ is found. We also prove that for large enough positive value of $beta$ the system exhibits persistent currents." @default.
- W1694037497 created "2016-06-24" @default.
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- W1694037497 date "2003-10-25" @default.
- W1694037497 modified "2023-09-27" @default.
- W1694037497 title "Asymptotics of eigenvalues of the operator describing Aharonov-Bohm effect combined with homogeneous magneticfield coupled with a strong $delta$-interaction on a loop" @default.
- W1694037497 hasPublicationYear "2003" @default.
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