On the Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0

DOI10.1063/1.1665220zbMath0206.39904OpenAlexW2006313881WikidataQ115333954 ScholiaQ115333954MaRDI QIDQ5606828

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Publication date: 1970

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1665220

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05)

Related Items

Applications of hyperdifferential operators to quantum mechanics ⋮ Solution of the differential equation \((\partial^2/\partial x \partial y + ax \partial/\partial x + by \partial/\partial y +cxy+ \partial/\partial t) P (x,y,t)=0\) and the Bogoliubov transformation

Cites Work

• Exact Quantum Dynamical Solutions for Oscillator-Like Systems
• Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0
• Closed-Form Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by ∂∂y+cxy+∂∂t)P=0 Subject to the Initial Condition P(x, y, t = 0) = Φ(x, y)