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- W169730130 abstract "The Schrodinger equation is the fundamental equation that describes the nonrelativistic motion of particles in quantum mechanics. The Schrodinger equation, together with appropriate boundary conditions, can be written as an integral equation of the second kind. In this article we shall be concerned with the integral equation that describes the collision between three mutually interacting particles; the three-body problem. In the FADDEEV approach the integral equation for the three-body problem is multidimensional, with a kernel that is singular, and a non-smooth (C1 discontinuity) in the solution function. In most cases of physical interest this equation can be solved only by using approximate numerical methods. Apart from the physical insight to be gained from such numerical solutions, the numerical treatment of the integral equation, in itself, poses an interesting mathematical problem. One seeks a method that is both flexible enought to respond to any rapidly varying structure in the solution to the integral equation, and, at the same time, is simple enough so that the integral of the kernel can be accurately and easily evaluated." @default.
- W169730130 created "2016-06-24" @default.
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- W169730130 creator A5079049431 @default.
- W169730130 date "1985-01-01" @default.
- W169730130 modified "2023-09-27" @default.
- W169730130 title "Spline-Galerkin Method for Solving Some Quantum Mechanic Integral Equations" @default.
- W169730130 cites W2076231474 @default.
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- W169730130 doi "https://doi.org/10.1007/978-3-0348-9317-6_11" @default.
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