On the Pauli operator for the Aharonov–Bohm effect with two solenoids | Zendy

V. A. Geyler | Zendy; P. Šťovı́ček | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the Pauli operator for the Aharonov–Bohm effect with two solenoids

Author(s) -

V. A. Geyler,

P. Šťovı́ček

Publication year - 2003

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1629395

Subject(s) - operator (biology) , momentum operator , pauli exclusion principle , differential operator , mathematics , linear subspace , mathematical physics , physics , basis (linear algebra) , displacement operator , boundary (topology) , spin (aerodynamics) , vortex , ladder operator , quantum mechanics , mathematical analysis , quasinormal operator , pure mathematics , finite rank operator , compact operator , computer science , geometry , transcription factor , programming language , extension (predicate logic) , gene , repressor , banach space , chemistry , biochemistry , thermodynamics

We consider a spin-1/2 charged particle in the plane under the influence oftwo idealized Aharonov-Bohm fluxes. We show that the Pauli operator as adifferential operator is defined by appropriate boundary conditions at the twovortices. Further we explicitly construct a basis in the deficiency subspacesof the symmetric operator obtained by restricting the domain to functions withsupports separated from the vortices. This construction makes it possible toapply the Krein's formula to the Pauli operator.Comment: LaTeX source file with 3 figures, to appear in JM

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research