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Illustration of the generator coordinate method in terms of model problems (1978)

Chattopadhyay, P. ; Dreizler, R. M. ; Trsic, M. ; [et al.]

Springer

The European physical journal 285 (1978), S. 7-16

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ISSN: 1434-601X

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract Numerical aspects of the generator coordinate method are discussed in terms of three simple examples: a) the linear harmonic oscillator, b) the He atom and c) the H atom with trial generating functions: a) infinite square-well solutions, b) screened Slater-type orbitals and c) a Gaussian function, respectively. By numerical integration of the Hill Wheeler equation, straightforward and accurate results are obtained for the lower-lying eigenstates of the three cases studied. Some features of the method and the numerical solution are commented upon.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01410216

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