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In this section we will find the expression of the local kinetic energy
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(2.124) |
Let us calculate the second derivative in two steps, as the first derivative is
important for the calculation of the drift force. We consider the Bijl-Jastrow form
(2.37) of the trial wave function and will express the final results in
terms of one- and two- body Bijl-Jastrow terms and . The gradient of the
many-body trial wave function is given by
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(2.125) |
The full expression for the Laplacian is
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(2.126) |
The kinetic energy can be written in a compact form
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(2.127) |
where we introduced notation for the one- and two- body contribution to the local
energy (see, also, (2.40))
and introduced the drift force (see (2.39))
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(2.130) |
Next: Exponentiation
Up: Local energy
Previous: Local energy
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G.E. Astrakharchik
15-th of December 2004