Quantum Particle on Lattices in Weyl Alcoves

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00382161" target="_blank" >RIV/68407700:21340/23:00382161 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-981-19-4751-3_48" target="_blank" >https://doi.org/10.1007/978-981-19-4751-3_48</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-981-19-4751-3_48" target="_blank" >10.1007/978-981-19-4751-3_48</a>

Result language
angličtina
Original language name
Quantum Particle on Lattices in Weyl Alcoves
Original language description
The application of the generalized discrete Fourier–Weyl transforms to a quantum particle propagation on the lattice fragments inside Weyl alcoves is summarized. The rescaled dual weight and dual root lattices intersected with the signed fundamental domains of the affine Weyl groups induce the position bases of the associated Hilbert spaces. The generalized dual-weight and dual-root Fourier–Weyl transforms provide unitary transition matrices between the position and momentum bases. The vectors of the momentum bases satisfy the time-independent Schrödinger equations and the corresponding eigenenergies are determined as sums of the symmetric Weyl orbit functions. The matrix forms of the Hamiltonians together with the eigenenergies of the A3 dual-weight lattice model are exemplified.
Czech name
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Czech description
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Project
<a href="/en/project/GA19-19535S" target="_blank" >GA19-19535S: Fourier methods of special functions of affine Weyl groups</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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