Tag Archives: Disentangling operator relation
Cycles and Heat: Hermite-Sheffer Evolution Equations
The pdf below relates the basic (Graves-Pincherle-Lie-) Heisenberg-Weyl algebra to partial differential equations–evolution equations–defining the exponential generating functions (e.g.f.s) of sequences of functions that have associated ladder ops–a raising / creation op, , and a lowering / destruction / … Continue reading
Posted in Math
Tagged Appell sequences, Baker-Campbell-Hausdorff-Dynkin expansion, Binomial Sheffer sequences, Chebyshev Hermite polynomials, Composition partition polynomials, Conjugation of operators, Creation and annihilation operators, Cycle index polynomials of symmetric group, Deformed diffusion equation, Disentangling operator relation, Evolution equations, Gaussian function, Heat equation, hypertetrahedrons, hypertriangles, Ladder operators, Laguerre polynomials, Lie-Heisenberg-Weyl group / algebra, n-simplices, normal ordering, Odd double factorials, Partial differential equations, Partition polynomials, Perfect matchings, Raising and lowering operators, Sheffer polynomials, Stirling partition polynomials of the first kind, Umbral calculus, umbral compositional inverse
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Shadows of Simplicity 