Canonical transforms, separation of variables, and similarity solutions for a class of parabolic differential equations
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Publication:4089227
DOI10.1063/1.522951zbMath0325.35044OpenAlexW2016094744MaRDI QIDQ4089227
Publication date: 1976
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.522951
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) General properties and structure of complex Lie groups (22E10) Second-order parabolic equations (35K10)
Related Items (12)
Linear and radial canonical transforms of fractional order ⋮ Solving the Schrödinger equation by reduction to a first-order differential operator through a coherent states transform ⋮ Metamorphism as a covariant transform for the SSR group ⋮ Time-dependent Schrödinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations ⋮ Quadratic time dependent Hamiltonians and separation of variables ⋮ On self-reciprocal functions under a class of integral transforms ⋮ On nonlinear transformations for time-dependent polynomial Hamiltonians ⋮ The Schrödinger system \(H=-\frac 1 2 e^{\Upsilon(t-t_0)}\partial_{xx}+\frac 1 2\omega^2 e^{-\Upsilon(t-t_0)}x^2\) ⋮ The Linear Canonical Transformation: Definition and Properties ⋮ Canonical transforms. IV. Hyperbolic transforms: Continuous series of SL(2,R) representations ⋮ Geometric dynamics of a harmonic oscillator, arbitrary minimal uncertainty states and the smallest step 3 nilpotent Lie group ⋮ The unitary irreducible representations of SL(2, R) in all subgroup reductions
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