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- W2043912196 abstract "It is well known that a suggestive relation exists that links Schrödinger's equation (SE) to the information-optimizing principle based on Fisher's information measure. The connection entails the existence of a Legendre transform structure underlying the SE. Here, we show that appeal to this structure leads to a first order differential equation for the SE's eigenvalues that, in certain cases, can be used to obtain the eigenvalues without explicitly solving the SE. Complying with the above mentioned equation constitutes a necessary condition to be satisfied by an energy eigenvalue. We show that the general solution is unique." @default.
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- W2043912196 date "2011-08-01" @default.
- W2043912196 modified "2023-10-18" @default.
- W2043912196 title "Special features of the relation between Fisher information and Schrödinger eigenvalue equation" @default.
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- W2043912196 doi "https://doi.org/10.1063/1.3625265" @default.
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