Super-Hamiltonians for super-Macdonald polynomials
The Macdonald finite-difference Hamiltonian is lifted to a super-generalization. In addition to canonical bosonic time variables pk new Grassmann time variables θk are introduced, and the Hamiltonian is represented as a differential operator acting on a space of functions of both types of variables...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-06-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325002424 |
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| Summary: | The Macdonald finite-difference Hamiltonian is lifted to a super-generalization. In addition to canonical bosonic time variables pk new Grassmann time variables θk are introduced, and the Hamiltonian is represented as a differential operator acting on a space of functions of both types of variables pk and θk. Eigenfunctions for this Hamiltonian are a suitable generalization of Macdonald polynomials to super-Macdonald polynomials discussed earlier in the literature. Peculiarities of the construction in comparison to the canonical bosonic case are discussed. |
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| ISSN: | 0370-2693 |