Abstract
Due care of the correlation between the particles is important for a precise variational solution. The variational trial functions used in this text, correlated Gaussians and correlated Gaussian-type geminals, are formulated by using a generating function g. Orbital functions with arbitrary angular momenta or Cartesian polynomials around arbitrary centers are constructed from g by using a simple, well-defined prescription. It is also shown that the generating function can be related to the product of single-particle Gaussian wave-packets through an integral transformation. This ‘uncorrelated’ form is useful to extend to a many-body system of identical particles. The spin function for an N-fermion system is briefly discussed.
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© 1998 Springer-Verlag Berlin Heidelberg
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(1998). Variational trial functions. In: Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems. Lecture Notes in Physics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49541-X_6
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DOI: https://doi.org/10.1007/3-540-49541-X_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65152-9
Online ISBN: 978-3-540-49541-3
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