3 problems

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Generalized quantum Zernike superintegrability and polynomial symmetry conjecture
Let $N$ be a positive integer and let $\gamma_k$ be coefficients satisfying $1\leq k\leq N$ . Let $\hat{\mathcal{H}}_N$ be the quantum Hamiltonian, let $\hat{\mathcal{C}}$ be the qu…
Conjectureopenpolynomial-algebras quantum-superintegrability quantum-zernike-hamiltoniansarXiv posted 2 days ago
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The centralizer-generation and kernel conjecture for the hydrogen atom
Let $T$ be the rescaled Schrödinger operator, let $\boldsymbol{\mathfrak{g}}$ be the Lie algebra acting on the system, and let … be the homomorphism into the associative algebra of…
Conjectureopenhydrogen-atom quantum-superintegrability representation-theoryarXiv posted 2 days ago
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Conjecture on the recurrence relation method for hypergeometric separated eigenfunctions
The recurrence relation method starts from a formal basis of separated eigenfunctions for which the Hamiltonian eigenvalue equation separates, using recurrence relations for hyperg…
Conjectureopendifferential-operators quantum-superintegrability special-functionsarXiv posted 2 days ago

Generalized quantum Zernike superintegrability and polynomial symmetry conjecture