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A linear least-squares variational recipe for the calculation of approximate energy eigenstates

✍ Scribed by P. Dutta; K. Bhattacharyya; S.P. Bhattacharyya

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
508 KB
Volume
226
Category
Article
ISSN
0009-2614

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✦ Synopsis

The efficacy of the energy-spread minimization technique for solving the energy-eigenvalue equation in a linear variational framework is assessed with a 3 Γ— 3 matrix perturbation problem with backdoor intruders, quartic anharmonic oscillator and the He-atom problems as prototypical examples. Both direct and indirect minimization schemes are considered and disadvantages of the latter pointed out. The relative merits and demerits of the conventional, vis&-vis stochastic minimization routes are critically analyzed in the present context.

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