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)
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Publication:5555940
DOI10.1063/1.1664840zbMath0169.12803OpenAlexW2090145091WikidataQ115333980 ScholiaQ115333980MaRDI QIDQ5555940
Publication date: 1969
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1664840
Related Items (6)
Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0 Subject to the Initial Condition P(x,y,0)=Φ(x,y) ⋮ Closed-Form Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0 by Normal-Ordering Exponential Operators ⋮ Initial-Value Problem for the Equation(∂∂t + a(t,x,y)∂∂x + b(t,x,y)∂∂y + c(t,x,y) + d(t,x,y)∂2∂x∂y)u=f(t,x,y) in the Complex Domain ⋮ On the Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0 ⋮ 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
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