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- W4300767519 abstract "The quantum rotor is shown to be supersymmetric. The supercharge $Q$, whose square equals the Hamiltonian, is constructed with reflection operators. The conserved quantities that commute with $Q$ form the algebra $so(3)_{-1}$, an anticommutator version of $so(3)$. The subduced representation of $so(3)_{-1}$ on the space of spherical harmonics with total angular momentum $j$ is constructed and found to decompose into two irreducible components. Two natural bases for the irreducible representation spaces of $so(3)_{-1}$ are introduced and their overlap coefficients prove expressible in terms of orthogonal polynomials of a discrete variable called anti-Krawtchouk polynomials." @default.
- W4300767519 created "2022-10-04" @default.
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- W4300767519 date "2016-07-23" @default.
- W4300767519 modified "2023-09-30" @default.
- W4300767519 title "Supersymmetry of the quantum rotor" @default.
- W4300767519 doi "https://doi.org/10.48550/arxiv.1607.06967" @default.
- W4300767519 hasPublicationYear "2016" @default.
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