Talk:Spectral gap (physics)

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It should be noted that the undecideability only is for inifite "chunks" of matter, and finite ones can behave differently. This also means that the spectral gap may appear or disappear (or oscillate) if you increase/decrease the amount of matter that you are testing. — Preceding unsigned comment added by 193.8.68.100 (talk) 08:34, 18 January 2019 (UTC)[reply]

Proposed merge of Gapped Hamiltonian into Spectral gap (physics)

The following discussion is closed. Please do not modify it. Subsequent comments should be made in a new section. A summary of the conclusions reached follows.

The result of this discussion was no consensus to merge. Shhhnotsoloud (talk) 19:06, 27 June 2022 (UTC)[reply]

This article overlaps too much with the other one, to the point of being a distinction without a difference.

Proof: In short, a gapped Hamiltonian is a Hamiltonian with a spectral gap. All quantum systems are described by a Hamiltonian. Therefore, they are essentially synonymous. Q.E.D.

In Google Scholar, the exact phrase "gapped hamiltonian" and its plural collectively return approximatly 1349 results and "spectral gap" physics and its plural return 2.79×10⁴ results. The other article is higher-quality but lacks some of the information in this one. –LaundryPizza03 (d c̄) 03:17, 7 January 2021 (UTC)[reply]

Oppose: you're right that quantum systems are described by a Hamiltonian, but not all applications of the Hamiltonian apply to quantum systems. Furthermore, the spectral gap is an independently notable sequelae of the gapped Hamiltonian that warrants distinct discussion. So, I suggest expanding or improving rather than merging. Klbrain (talk) 07:56, 23 April 2022 (UTC)[reply]

The discussion above is closed. Please do not modify it. Subsequent comments should be made on the appropriate discussion page. No further edits should be made to this discussion.