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Topic: Casimir operator


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In the News (Wed 23 Dec 09)

  
  JLT 12027   (Site not responding. Last check: 2007-10-01)
Casimir Operators on Pseudodifferential Operators of Several Variables
and the associated Casimir operator on the space of pseudodifferential operators of n variables, C denoting the complex numbers.
We describe the effect of the Casimir operator on a pseudodifferential operator in connection with the symbol map and construct an nsl(2, C)-invariant lifting of the symbol map.
www.heldermann.de /JLT/JLT12/JLT122/jlt12027.htm   (89 words)

  
 Obituary: Casimir E. Norrisey
Casimir Edward Norrisey of Charlottesville died Monday, January 14, 2002, at Martha Jefferson Hospital, 17 days shy of his 79th birthday.
Casimir, known as Cas or Casey, served the Catholic community of Charlottesville in many capacities.
He was an active amateur radio operator with the call letters K4MTX, and a member of the Quarter Century Wireless Association, the American Radio Relay League, and the Albemarle Amateur Radio Club.
www.chestermichael.org /obituary_casimir_e_norrisey.htm   (340 words)

  
 USS Casimir Pulaski (SSBN-633) -- The Story Of A Cold War Warrior
For example, by the time a man was qualified as a Reactor Operator, he had already gone to at least two years of school, spent six months at sea, and qualified as an RO at Prototype.
My shift actually started the new reactor for the first time, and I advised the ship’s Reactor Operator when to call the reactor “critical” for the first time (“Critical” means the nuclear reactor is sustaining a chain reaction; in a sense, it is like starting the engine in your automobile).
Although violent maneuvering, such as favored by the Soviet Navy with their "Crazy Ivan" tactic, have a better chance of catching a prowler unwares, the risk of accidental ramming and subsequent sinking is not worth it.
www.usscasimirpulaski.com /ownersmanual.htm   (936 words)

  
 Energy Citations Database (ECD) - - Document #20699203
In this paper, an explicit expression for the Casimir operator (or the Casimir invariant) of the inhomogeneous group ISL(n,R) in its enveloping algebra is proposed, which using contractions of the tensorial indices of the generating operators P{sup {rho}} and E{sub {mu}}{sup {nu}} may be presented in the following [slightly more comprehensible as Eq.
The Casimir is obtained by symmetrizing this expression.
It is also proven that the Casimir of ISL(n,R) can be decomposed in terms of the Casimirs of its little groups, a key point in the posterior construction of its irreducible representations.
www.osti.gov /energycitations/product.biblio.jsp?osti_id=20699203&query_id=0   (284 words)

  
  Ex Astris Scientia - Treknology Encyclopedia L-Z
Shipboard phaser banks are attached to the outer hull of a starship in form of small apertures or domes in the 23rd century that are extended to segmented strips and finally rings in the 24th century.
Although their operation range may encompass many light-years and they are able to penetrate shields, subspace transporters are not reliable and therefore not employed by the Federation or other major species (TNG: "Bloodlines", DS9: "Covenant").
A transporter room typically consists of an operator console, a transporter platform and an overhead molecular imaging scanner, primary energizing coils and phase transition coils.
www.ex-astris-scientia.org /treknology2.htm   (9154 words)

  
 Journal of Lie Theory, Vol. 9, No. 2, pp. 305-320, 1999   (Site not responding. Last check: 2007-10-01)
Relations between invertibility of Casimir operators and semisimplicity of quadratic Lie superalgebras
We study relation between semisimplicity and invertibility of Casimir operator in the case of a quadratic Lie superalgebra $\scriptstyle({\frak g} = {\frak g}_{\bar 0} \oplus {\frak g}_{\bar 1}, B)$.
In particular, we show that if the representation of the Lie algebra $\scriptstyle{\frak g}_{\bar 0}$ on $\scriptstyle{\frak g}_{\bar 1}$ is completely reducible then semisimplicity is equivalent to the invertibility of Casimir operator.
www.emis.de /journals/JLT/vol.9_no.2/3.html   (128 words)

  
 An extension based determinantal method to compute Casimir operators of Lie algebras   (Site not responding. Last check: 2007-10-01)
We present a method based on degree one extensions of Lie algebras by a derivation to compute the Casimir operator of perfect Lie algebras having only one invariant for the coadjoint representation and an Abelian radical.
In particular, the Casimir operator of the special affine Lie algebras sa(n,R) results from the determinant of the commutator matrix of an extension.
Use of this service implies that the user has read and agrees to the terms and conditions of use.
www.iop.org /Select/S/UNREG/UCbNU00dJ6MxcJLJu5BnSQ/ref/-group=subject/-groupval=500/-target=inspec/0305-4470/39/20/009/13   (180 words)

  
 casimir operator - OneLook Dictionary Search
We found 3 dictionaries with English definitions that include the word casimir operator:
Tip: Click on the first link on a line below to go directly to a page where "casimir operator" is defined.
Casimir Operator : Eric Weisstein's World of Mathematics [home, info]
www.onelook.com /?w=casimir+operator   (81 words)

  
 ON QUANTUM THEORETICAL ORIGINS OF NEWTONIAN TIME
The existence of a time operator, Fourier related to the energy of a "massless" oscillator clock, implies that cognate vectors symbolizing states in the standard quantum mechanics (QM) must generally be reinterpreted as processes, and that evolution of these processes must themselves be stochastic in the manner of a Feynman kernel.
All the G operators with a≠b, turn out to have extra factors of Δq(n), indicating that they will be made small relative to the a=b operators for very large n.
Nevertheless, for large, n, this last equation becomes the dynamical equation of QM for any energy operator E, where T is defined as the number operator in the basis that is the Υ transformed eigenbasis of E. The switch in sign of this commutator is consistent with what one would expect relativistically.
graham.main.nc.us /~bhammel/PHYS/newtqtime.html   (15429 words)

  
 Musings
The Dirichlet Casimir effect for $\phi^4$ theory in (3+1) dimensions:...
Authors: Lilia Anguelova, Vincenzo Calo We study whether finite temperature corrections decompactify the internal space in KKLT compactifications with an...
Windows Vista, Microsoft's long overdue new operating system has hit the stores in Belgian.
golem.ph.utexas.edu /~distler/blog   (5477 words)

  
 Lviv   (Site not responding. Last check: 2007-10-01)
After his death in 1340, the rights to Lviv were claimed by his cousin Casimir III of Poland, who successfully invaded the duchy and occupied it by 1349.
Among the first to be murdered were the professors of the city's universities and Other members of Polish inteligentsia.
As the Red Army wasnearing the City in 1944, on July 23 the local commander of the Home Army ordered all his forces to commence the Operation Tempest.
lviv.iqnaut.net   (3220 words)

  
 Time Travel [Internet Encyclopedia of Philosophy]
Bizarre phenomena like negative energy density (the Casimir effect) lend their strangeness to the already odd character of time travel stories.
In this article, we make a distinction between time travel stories that might be possible within the canon of known physical laws and those stories that contravene or go beyond known laws.
Thus, the proper way to understand the truth of this sentence is to translate it into a more primitive form, where the tense is captured by an operator.
www.iep.utm.edu /t/timetrav.htm   (7856 words)

  
 Lie Methods
Chapter 8 A Calculus for Lie Transformations and Noncommuting Operators
Adjoint Lie Operators and the Adjoint Lie Algebra
Scalar Product and Projection Operators for Vector Fields
www.physics.umd.edu /dsat/dsatliemethods.html   (192 words)

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