Flego, S. P. and Plastino, A. and Plastino, A. R. (2011) Fisher Information and Quantum Mechanics. International Research Journal of Pure and Applied Chemistry, 2 (1). pp. 25-54. ISSN 22313443
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Abstract
A suggestive relation links Fisher' information measure (FIM)Iand Schrödinger equation (SE). The connection is based upon the fact that the constrained minimization of I leads to a SE. This, in turn, is the origin of intriguing relationships between various aspects of SE, on the one hand, and the formalism of statistical mechanics derived from Jaynes's maximum entropy principle (MaxEnt), on the other one. The link entails the existence of a Legendre transform structure underlying the SE, which allows for the emergence of two first-order differential equations that must, respectively, be satisfied by i) the Fisher measure and ii) the SE energy eigenvalues. The complete A) I-solution and B) energy-solution are both obtained bypassing the SE and, furthermore, linked by the Legendre structure.
Item Type: | Article |
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Subjects: | Bengali Archive > Chemical Science |
Depositing User: | Unnamed user with email support@bengaliarchive.com |
Date Deposited: | 11 Jul 2023 04:58 |
Last Modified: | 24 Jul 2024 09:53 |
URI: | http://science.archiveopenbook.com/id/eprint/1487 |