Starting from the Hamilton-Jacobi equation describing a classical ensemble,
one may infer a quantum dynamics using the principle of maximum uncertainty.
That procedure requires an appropriate measure of uncertainty: Such a measure
is constructed here from physically motivated constraints. It leads to a unique
single parameter extension of the classical dynamics that is equivalent to the
usual linear quantum mechanics.
%0 Generic
%1 citeulike:5089
%A Parwani, Rajesh R.
%D 2004
%K classical ensemble equation hamiltonian jacobi
%T Information Measures for Inferring Quantum Mechanics
%U http://arxiv.org/abs/quant-ph/0408185
%X Starting from the Hamilton-Jacobi equation describing a classical ensemble,
one may infer a quantum dynamics using the principle of maximum uncertainty.
That procedure requires an appropriate measure of uncertainty: Such a measure
is constructed here from physically motivated constraints. It leads to a unique
single parameter extension of the classical dynamics that is equivalent to the
usual linear quantum mechanics.
@misc{citeulike:5089,
abstract = {Starting from the Hamilton-Jacobi equation describing a classical ensemble,
one may infer a quantum dynamics using the principle of maximum uncertainty.
That procedure requires an appropriate measure of uncertainty: Such a measure
is constructed here from physically motivated constraints. It leads to a unique
single parameter extension of the classical dynamics that is equivalent to the
usual linear quantum mechanics.},
added-at = {2007-08-18T13:22:24.000+0200},
author = {Parwani, Rajesh R.},
biburl = {https://www.bibsonomy.org/bibtex/2f8617dfab90b95d0ee0fd1fe9a2df51e/a_olympia},
citeulike-article-id = {5089},
description = {citeulike},
eprint = {quant-ph/0408185},
interhash = {aa92d79f50e70639151a5a66e6eb0c43},
intrahash = {f8617dfab90b95d0ee0fd1fe9a2df51e},
keywords = {classical ensemble equation hamiltonian jacobi},
month = {December},
timestamp = {2007-08-18T13:23:00.000+0200},
title = {Information Measures for Inferring Quantum Mechanics},
url = {http://arxiv.org/abs/quant-ph/0408185},
year = 2004
}