Magnetic field influence on the discrete spectrum of locally deformed leaky wires

0545190 - ÚJF 2022 RIV GB eng J - Článek v odborném periodiku
Barseghyan, D. - Exner, Pavel
Magnetic field influence on the discrete spectrum of locally deformed leaky wires.
Reports on Mathematical Physics. Roč. 88, č. 1 (2021), s. 47-57. ISSN 0034-4877. E-ISSN 1879-0674
Institucionální podpora: RVO:61389005
Klíčová slova: singular Schrodinger operators * magnetic field * discrete spectrum
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 0.808, rok: 2021
Způsob publikování: Omezený přístup
https://doi.org/10.1016/S0034-4877(21)00055-0

We consider magnetic Schrodinger operator H = (i del+ A)(2) - alpha delta(Gamma) with an attractive singular interaction supported by a piecewise smooth curve Gamma being a local deformation of a straight line. Such a Hamiltonian describes a charged particle confined to a leaky quantum wire and exposed to the magnetic field B which is supposed to be nonzero and local. We show that the essential spectrum of this system is [-1/4 alpha(2),infinity), the same as for the nonmagnetic operator with a straight Gamma, and demonstrate a sufficient condition for the discrete spectrum of H to be empty.
Trvalý link: http://hdl.handle.net/11104/0321927