Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0558.22018
Howe, Roger
Dual pairs in physics: harmonic oscillators, photons, electrons, and singletons. (English)
[A] Applications of group theory in physics and mathematical physics, Proc. Summer Semin., Chicago 1982, Lect. Appl. Math. 21, 179-207 (1985).

[For the entire collection see Zbl 0547.00050.] \par This is a very nicely written review on canonical commutation relations, boson algebra, Heisenberg algebra, symplectic group and their special representations, all these here unified under the concept of dual pairs of subgroups (G,G') of a group S, where G' is the centralizer of G in S, and vice versa. The unification of so many concepts of interest to both the mathematicians and physicists is remarkable. The physical applications include massless particles, wave equations, Maxwell and Dirac equations, singletons, and dynamical groups of quantum system (the latter not treated in this review).
[A.O.Barut]

MSC 2000:: *22E70 Appl. of Lie groups to physics

Keywords: canonical commutation relations; boson algebra; Heisenberg algebra; symplectic group; dual pairs of subgroups; massless particles; wave equations; singletons

Citations: Zbl 0547.00050

Cited in: Zbl 0558.22019

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]