Vakarchuk S. Supersymmetry of the electron in magnetic field

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U003389

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

17-06-2009

Specialized Academic Board

Д 35.156.01

Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine

Essay

The examples of three-dimensional magnetic fields for which the supersymmetry with two, three, and four supercharges exists are found. The ground state of an electron in these filds is studied. The connection between the supersymmetry of an electron in a uniform magnetic field and the entanglement of spin and coordinate electron states is established. Magnetic fields for which the eigenvalue equation is quasi-exactly solvable are found.

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