Talk:Quantum chaos

Utterly incomprehensible
I'm a high schooler, and wiki has many pages on advanced topics which have very lucid introductions and explanations; this doesn't. Can someone do a bit of language reworking of this page? K.Anshuman (talk) 13:30, 2 December 2016 (UTC)

hmmm... does this article have anything about quantum chaos in it?
I see lots on mechanics, in non-quantum chaos, and on this, on that, but where is the chaos?

==I agree. Lots of classical chaos - not a lot of quantum chaos. For instance, the most important thing to understand about quantum chaos is that it is not truly chaotic. Quantum mechanics is a linear theory and thus true chaos is impossible in it. If one examines the quantum equivalent of any simple classical chaotic system one finds that its behaviour stops being chaotic after a certain length of time - known as the break time. This article actually needs to say what quantum chaos is. --J S Lundeen 14:50, 2 April 2006 (UTC)

Hmmm, I guess I could try and help out here, but it would be a while before I'd add anything in, I need to brush up on some notes first. Gagueci 16:28, 24 October 2006 (UTC)

== Out of curiosity... is their any similarity to the movement of atoms to that of billiard balls on a pool table. I mean if the objects moved in a similar pattern wouldn't it be possible to calculate where a atom would end up if struck? I put this in the Quantum Chaos section due to my understanding of quantum chaos being related to a linear theory... which would help describe my situation even further. --68.102.139.94 (talk) 06:27, 21 June 2008 (UTC)

Does anyone object if I produce a major revision?
My PhD thesis work at M.I.T. was in the field of quantum chaos, and I've kept up with the developments since then, though it has been over a decade since I've published in the field. If there aren't any major objections, I hope to revise the quantum chaos article, as time permits. I hope to present a balanced view; however, two factors might produce a result that seems a bit like a conflict of interest: 1) My strongest knowledge base is in the areas of quantum chaos most closely related to my own research. 2) Most of the figures I can use are those I created (copyright issues). I have added a list of my peer-reviewed publications in this field:

Core-induced chaos in diamagnetic lithium, M Courtney, D Kleppner, Phys Rev A 53, 178 (1996).

Initial conditions of closed classical orbits from quantum spectra, M Courtney, Chaos 6, 1 (1996).

Scaled-energy spectra and closed classical orbits of the hydrogen atom in parallel electric and magnetic fields, M Courtney, Phys Rev A 51, 4558 (1995).

Classical, semiclassical, and quantum dynamics of lithium in an electric field, M Courtney, N Spellmeyer, H Jiao, D Kleppner, Phys Rev A 51, 3604 (1995).

Recurrences associated with a classical orbit in the node of a quantum wave function, JA Shaw, JB Delos, M Courtney, D Kleppner, Phys Rev A 52, 3695 (1995).

New Class of Universal Correlations in the Spectra of Hydrogen in a Magnetic Field, BD Simons, A Hashimoto, M Courtney, D Kleppner, BL Altshuler, Phys Rev Let 71, 2899 (1993).

Closed Orbit Bifurcations in Continuum Stark Spectra, M Courtney, H Jiao, N Spellmeyer, D Kleppner, J Gao, JB Delos, Phys Rev Let 27, 1538 (1995).

Quantum Chaos and Rydberg Atoms in Strong Fields, M Courtney, H Jiao, N Spellmeyer, D Kleppner, in the proceedings of the 4th Drexel Symposium on Quantum Nonintegrability (1995).

Long-period Orbits in the Stark Spectrum of Lithium, M Courtney, H Jiao, N Spellmeyer, D Kleppner, Phys Rev Let 73, 1340 (1994).

Please let me know what you think.Michael Courtney (talk) 13:10, 26 October 2008 (UTC)

Suggested strategy
Quantum chaos is not a topic. It is a collection of topics that are related to quantized chaotic systems. Accordingly it should be a "gate" to other wiki pages such as [Spectral statistics] and [Periodic orbit theory] and [Quantum eigenstates] and [scars] and [Driven chaotic systems] and [dynamical localization] etc. To put all the emphasis on one topic will take the presentation out of balance. —Preceding unsigned comment added by Doroncohen (talk • contribs) 12:13, 4 July 2010 (UTC)

formula $$ V^{-1}(x)= \frac{d^{-1/2}g(x)}{dx^{-1/2}} $$ is valid as an ASYMPTOTIC approximation it appears in many books about Quantum Mechanics, whenever dealing with semiclassical approach

this formula above is EXACT, see the paper by Wu and Sprung on Riemann Hypothesis and quantum chaos

http://arxiv.org/abs/math-ph/0606005  or  http://cdsweb.cern.ch/record/955549  —Preceding unsigned comment added by 85.85.102.137 (talk) 12:05, 15 April 2011 (UTC)

A Poisson distribution?
In this article and in the literature, we always hear about a Poisson distribution (here P(s)=e^-s). But this is just an exponential distribution isn't it? One just has to follow the link on Wikipedia to see it...

I have always been wondering about that. Why do they use this wrong term in the literature? — Preceding unsigned comment added by 155.69.200.255 (talk) 08:42, 26 April 2012 (UTC)

And
 * $$P(s) = \frac{\pi}{2}se^{-\pi s^2/4},$$

is called a Rayleigh distribution (with parameter $$\sigma = \sqrt{2/\pi}$$) or Weibull distribution (with parameters k=2, $$\lambda=2/\sqrt\pi$$) according to Wikipedia, not Wigner distribution. Jaan Vajakas (talk) 17:36, 15 June 2013 (UTC)

exponential sensitivity?
Is the marketing/journalistic use of "exponential", menaing "big"? — Preceding unsigned comment added by 91.182.102.203 (talk) 21:36, 9 April 2016 (UTC)

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Should we make a Gutzwiller trace formula article
A substantial part of quantum chaos article is about this formula, we could shorten the article by moving the information about Gutzwiller trace formula into a more specific article. MaoGo (talk) 10:58, 9 October 2017 (UTC)