Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Charged spin 1/2 particle in an arbitrary magnetic field in two spatial
  dimensions: a supersymmetric quantum mechanical system   It is shown that the 2 X 2 matrix Hamiltonian describing the dynamics of a
charged spin 1/2 particle with g-factor 2 moving in an arbitrary, spatially
dependent, magnetic field in two spatial dimensions can be written as the
anticommuator of a nilpotent operator and its hermitian conjugate.
Consequently, the Hamiltonians for the two different spin projections form
partners of a supersymmetric quantum mechanical system. The resulting
supersymmetry algebra can then be exploited to explicitly construct the exact
zero energy ground state wavefunction for the system. Modulo this ground state,
the remainder of the eigenstates and eigenvalues of the two partner
Hamiltonians form positive energy degenerate pairs. We also construct the
spatially asymptotic form of the magnetic field which produces a finite
magnetic flux and associated zero energy normalizable ground state
wavefunction.

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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga