Solution of the differential equation (∂2∂x∂y + ax∂∂x + by∂∂y + cxy + ∂∂t) P(x,y, t) = 0 and the Bogoliubov transformation |
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| Authors: | R Vasudevan RM Wilcox |
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| Institution: | Department of Electrical Engineering, University of Southern California, Los Angeles, California 90007 U.S.A. |
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| Abstract: | An eigen function expansion for the solution of the Lambropolous partial differential equation is obtained by the use of a transformation similar to the Bugolubov transformation familiar in Bose gas theory. Also the technique of normal ordering of operators is employed. The orthogonality properties of such solutions are also analysed. |
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