id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_kyccmwpkdzfmpj3wxjrup3uozu	Bryan W. Roberts	The Simple Failure of Curie's Principle	2013	15	.pdf	application/pdf	5673	548	73	I point out a simple sense in which the standard formulation of Curie's principle is false, when the symmetry transformation it describes is time reversal. the standard way, and the symmetry transformation is time reversal. with care, as it only applies for a particular kind of symmetry transformation that does not include time reversal. The result: the laws of motion for the harmonic oscillator are time reversal invariant, and the initial state is preserved by the time reversal operator, but the final state is not. that is preserved by time reversal, and a final state that is not. Curie's principle thus fails when the symmetry transformation is time initial state φ is preserved by the time reversal operator. Thus, any system that is both time reversal invariant and nondegenerate provides a counterexample to Curie's principle. include time reversal symmetry, then Curie's principle is false.	./cache/work_kyccmwpkdzfmpj3wxjrup3uozu.pdf	./txt/work_kyccmwpkdzfmpj3wxjrup3uozu.txt