Relevance For Quantum Chaos
In general, an integrable system has constants of motion other than the energy. By contrast, energy is the only constant of motion in a non-integrable system; such systems are termed chaotic. In general, a classical mechanical system can be quantized only if it is integrable; as of 2006, there is no known consistent method for quantizing chaotic dynamical systems.
Read more about this topic: Constant Of Motion
Famous quotes containing the words relevance, quantum and/or chaos:
“The most striking fault in work by young or beginning novelists, submitted for criticism, is irrelevance—due either to infatuation or indecision. To direct such an author’s attention to the imperative of relevance is certainly the most useful—and possibly the only—help that can be given.”
—Elizabeth Bowen (1899–1973)
“The receipt to make a speaker, and an applauded one too, is short and easy.—Take of common sense quantum sufficit, add a little application to the rules and orders of the House, throw obvious thoughts in a new light, and make up the whole with a large quantity of purity, correctness, and elegancy of style.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“Before abstraction everything is one, but one like chaos; after abstraction everything is united again, but this union is a free binding of autonomous, self-determined beings. Out of a mob a society has developed, chaos has been transformed into a manifold world.”
—Novalis [Friedrich Von Hardenberg] (1772–1801)