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arXiv:physics/0609078

Comments on "Attainable conditions and exact invariant for the time-dependent harmonic oscillator"

Kwang‐Hua W. Chu

Published Sep 9, 2006• 0 citations
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Abstract

We make remarks on Fernández Guasti's paper [{\it J. Phys. A: Math. Gen.} 39 (2006) 11825-11832] by pointing out some mistakes Fernández Guasti derived therein.
DOI
10.48550/arxiv.physics/0609078

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In a recent paper (Hall 2008 J. Phys. A: Math. Gen. 41 255301), I made several critical remarks on a ‘Hermitian time operator’ proposed by Galapon (2002 Proc. R. Soc. A 458 2671). Galapon has correctly pointed out that remarks pertaining to ‘denseness’ of the commutator domain are wrong (Galapon 2008 J. Phys. A: Math. Theor. 42 018001). However, the other remarks still apply, and it is further noted that a given quantum system can be a member of this domain only at a set of times of total measure zero.