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Topic: Representation theory of the Galilean group

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	Science Fair Projects - Galilean transformation
		The Galilean transformation is used to transform between the coordinates of two coordinate systems in constant relative motion in Newtonian physics.
		Unlike the Galilean transformation, the relativistic Lorentz transformation can be shown to apply at all velocities so far measured, and the Galilean transformation can be regarded as a low-velocity approximation to the Lorentz transformation.
		Under the Erlangen program, the space-time (no longer spacetime) of nonrelativistic physics is described by the symmetry group generated by Galilean transformations, spatial and time translations and rotations.
	www.all-science-fair-projects.com /science_fair_projects_encyclopedia/Galilean_transformations (496 words)

	Representation theory of the Galilean group: Encyclopedia topic (Site not responding. Last check: 2007-11-05)
		Since we are interested in projective representation (projective representation: in mathematics, in particular in group theory, if g is a group and ρ is a vector...
		[follow hyperlink for more...]) s of this group, which is equivalent to unitary representation (unitary representation: in mathematics, a unitary representation of a group g is a linear representation...
		This is called the little group, a name given by Wigner (Wigner: United States physicist (born in Hungary) noted for his work on the structure of the atom and its nucleus (born in 1902)).
	www.absoluteastronomy.com /reference/representation_theory_of_the_galilean_group (953 words)

	Minkowski, mathematiciens, and the mathematical theory of relativity (Site not responding. Last check: 2007-11-05)
		The novelty to physics of the aesthetic canon embodied in Minkowski's theory was emphasized by Peter Galison (1979), and several scholars have clarified technical and epistemological aspects of Minkowski's theory.
		Rhetorical gestures such as this directed attention to Minkowski's theory; its acceptance by the scientific community, however, may be seen to depend largely upon the presence of two elements: empirical adequacy, claimed by Minkowski at the opening of the lecture, and the perception of an advantage over existing theories.
		The formal equivalence of Einstein's theory with that of Minkowski is not an issue, since Minkowski adopted unequivocally the validity of the Lorentz transformations, and stated just as clearly that the constant appearing therein was the velocity of propagation of light in empty space.
	www.univ-nancy2.fr /DepPhilo/walter/papers/mmmh.xml (12692 words)

	Theory & Psychology (Site not responding. Last check: 2007-11-05)
		Drawing on Toulmin's (1990) portrayal of the 'dual trajectory of Modernity', the predominant trajectory being tied to Cartesian rationalism and the other to Renaissance humanism, it is suggested that much of contemporary theoretical psychology appears to be congruent with widespread efforts to reappropriate the latter tradition and thereby to 'humanize' its inquiries.
		By moving toward what is here termed a 'poetics of the Other', there emerges the opportunity for a portion of the field not only to further extricate itself from the gravitational pull of theory, as ordinarily conceived, but also to explore modes of thinking and writing more closely tied to the humanities.
		'Theory' remains viable from this point of view, but in a different way than that which is generally operative in current endeavors.
	www.psych.ucalgary.ca /thpsyc/VOLUMES.SI/2000/10.1.Freeman.html (2457 words)

	Business Fresh : Article 'Wigner's classification' (Site not responding. Last check: 2007-11-05)
		In mathematics and theoretical physics, Wigner's classification is a classification of the nonnegative energy irreducible unitary representations of the Poincaré group, which have sharp mass eigenvalues.
		m\equiv \sqrt{P^2} is a Casimir invariant of the Poincaré group.
		A rep is called a quotient covariant field rep if it is equivalent to the quotient representation of a covariant field rep by a subrep of it which is also a covariant field rep (with respect to the same fiber bundle).
	www.business-fresh.net /DisplayArticle982934.html (764 words)

	iqexpand.com (Site not responding. Last check: 2007-11-05)
		representation theory of the Galilean group, Poincaré group sl:Galilejeva transformacija de:Galilei-Transformation pl:Transformacja Galileusza ja:ガリレイ変換pt:Transformações de Galileu
		GALILEAN TRANSFORMATION EQUATIONS Preliminary Comment The following Galilean transformation equations are presented as a contrast to what have commonly become known as the Lorentz transformation...
		Relative Motion of Galilean Transformation y x Frame A Frame B x y rBA rPA rPB Assume that frame B is moving at constant velocity VBA with respect to frame A and the two
	galilean_transformation.iqexpand.com (628 words)

	Quantum field theory - Wikibooks, collection of open-content textbooks
		The Special theory of realtivity is a sucessor of Classical Mechanics which is based on the Newtonian mechanics, which was developed by Isaac Newton as the name suggests.
		According to the Galilean transformation the the coordinates transform as
		Relativity principle and the group of coordinate transformations.
	en.wikibooks.org /wiki/Quantum_field_theory (506 words)

	Himalia group (Site not responding. Last check: 2007-11-05)
		It was a major point in favor of Copernicus' heliocentric theory of the motions of the planets; Galileo's outspoken support of the Copernican theory got him in trouble with the Inquisition.
		##The Ananke group is a group with rather indistinct borders, averaging 21,276,000 km from Jupiter with an average inclination of 149 degrees.
		##The Carme group is a fairly distinct group that averages 23,404,000 km from Jupiter with an average inclination of 165 degrees.
	himalia.group.en.reference.pl (8065 words)

	Identity and Individuality in Quantum Theory (Site not responding. Last check: 2007-11-05)
		Quasi-set theory incorporates two kinds of basic posits or ‘Urelemente’: m-atoms, whose intended interpretation are the quantal objects and M-atoms, which stand for the ‘everyday’ objects, and which fall within the remit of classical set theory with Ur- elements.
		Applying the general methodological principle that a theory which does not contain such surplus structure is to be preferred over one that does, Redhead and Teller conclude that we have grounds for preferring the non-individuals approach and the afore-mentioned mystery simply does not arise.
		In the case of quantum field theory, the field quantities are not well-defined at space-time points (because of difficulties in defining exact locational states in quantum field theory).
	www.science.uva.nl /~seop/archives/sum2003/entries/qt-idind (5606 words)

	Introduction to Modern Literary Theory
		Disclaimer: When theories are explained briefly, a necessary reduction in their complexity and richness occurs.
		A literary movement that started in the late 1920s and 1930s and originated in reaction to traditional criticism that new critics saw as largely concerned with matters extraneous to the text, e.g., with the biography or psychology of the author or the work's relationship to literary history.
		Reflectionism - associated with Vulgar Marxism - "a theory that the superstructure of a society mirrors its economic base and, by extension, that a text reflects the society that produced it" (92).
	www.kristisiegel.com /theory.htm (6076 words)

	Session VB08 - Field Theory and Related Topics.
		Field and string theories and all theories based on fiber bundles inherit the Inönü-Wigner non-semisimplicity that marred Newtonian mechanics.
		Statistics is defined by a representation of the permutation group that is generated by particle swaps.
		Two-valued representations of permutations (Schur, 1911) were recognized as possible statistics for quasi-particles of the quantum Hall effect by Wilczek (1997).
	flux.aps.org /meetings/YR99/CENT99/abs/S7900.html (1789 words)

	Citebase - Quantum Theory of Noncommutative Fields (Site not responding. Last check: 2007-11-05)
		A Lorentz-noninvariant modification of the kinematic dispersion law was proposed in [hep-th/0211237], claimed to be derivable from from q-deformed noncommutative theory, and argued to evade ultrahigh energy threshold anomalies (trans-GKZ-cutoff cosmic rays and TeV-photons) by raising the respectiv...
		The connection between Lorentz invariance violation and noncommutativity of fields in a quantum field theory is investigated.
		Any realistic noncommutative theory is found to be physically equivalent to a subset of a general Lorentz-violating standard-model extension involving ordinary fields.
	www.citebase.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/0301248 (1558 words)

	Quantum Theory
		Local gauge invariance means that their is a freedom of this gauge group in all points in space and time.
		The gauge group determines the particles and their interactions (for the standard model the gauge group is SU(3)xSU(2)xU(1)).
		This group determines the local structure, but zooming out (renormalization I suppose) there is a different behaviour.
	cranmer.home.cern.ch /cranmer/html/quantum_theory.html (2716 words)

	Rotation operator - Wikipedia, the free encyclopedia
		This article has been tagged since September 2005.
		It has been suggested that this article or section be merged with Representation theory of SU(2).
		It has been suggested that this article or section be merged with Representation theory of the Galilean group.
	en.wikipedia.org /wiki/Rotation_operator (461 words)

	Citebase - Elliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains (Site not responding. Last check: 2007-11-05)
		This paper lays down a foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theory based on the representation theory of SL(2,R) group.
		An elementary account of Galilean geometry and the Galilean principle of relativity, Heidelberg Science Library, Translated from the Russian by Abe Shenitzer, With the editorial assistance of Basil Gordon.
		We explore a function theory connected with the principal series representation of SL(2,R) in contrast to standard complex analysis connected with the discrete series.
	www.citebase.org /cgi-bin/citations?id=oai:arXiv.org:math/0410399 (1006 words)

	An extended Galilean group and its application to time operators
		The representation theory of the Galilean group extended by a one-dimensional group of dilations (which leave invariant the free Schrodinger equation) is studied.
		The existence of position and time operators is investigated from the standpoint of the imprimitivity theorem, for quantum particles whose states carry a projective representation of the extended group.
		Position and time operators are shown to exist for some two-component direct sums with non-trivial multipliers and for vector representations with zero helicity.
	stacks.iop.org /0305-4470/9/1045 (227 words)

	Integral Visioning - Michel Bauwens: Foundation For Peer To Peer Alternatives Newsletter Issue 62
		His presentation of a P2P perspective includes a clear theory of human power and value relations, a practical appreciation of its relationship to the current orthodoxy, and an inspiring vision for viable, sustainable, and desirable futures.
		Such a hypothesis supports the beliefs of pleomorphic biologists, a small but staunch group of scientists that believe disease related micro-organisms may represent life forms that arose, budded-off, from dying cells.
		Every conspiracy theory needs a leap of faith; Schonfield's is the precise means he thinks Jesus used to fake his death.
	www.integralcommons.org /article.php?story=p2p62 (7391 words)

	Cellular Automaton Fluids: Basic Theory (1986)
		can be replaced by transformations with appropriate lattice symmetry group operations.
		give the values of the conserved particle and momentum densities in this representation, and remain fixed with time.
		for particle scattering, so that the diffusion coefficient is given by the standard kinetic theory formula
	www.stephenwolfram.com /publications/articles/ca/86-fluids/5/text.html (2956 words)

	Trial of Jesus. Authentic Accounts in the Gospels
		Luke 8:3 notes that Joanna, wife of the manager of Herod's household, was in Jesus' group; she may well have had access to certain information.
		If Jesus had indeed been the founder of an insurgent political group, then His followers would have been rounded up and arrested - but this did not happen; instead, Christianity was tolerated, perhaps even protected, by the Romans up until the time of Nero.
		He admits that his theory would almost require that there be some mention in the Talmud that Jesus was a favored person and that the "trial" was performed as a saving measure.
	www.tektonics.org /gk/jesustrial.html (10928 words)

	Quantum Theory
		The references in each group are listed in approximate inverted chronological order.
		CFIF Workshop:' Time asymmetric quantum theory: The theory of resonances'.
		CFIF Workshop on TimeAsymmetric Quantum Theory: The Theory of Resonances, 23-26 July 2003, Instituto Superior Tecnico, Lisbon, Portugal and Quantum Structures Association Meeting, 7-22 July 2004, University of Denver.
	www.nu.to.infn.it /Quantum_Theory (1729 words)

	XXIII International Colloquium on Group Theoretical Methods in Physics
		Title: Sigma- models on the quantum group manifolds in low undeformed space-time dimensions and variational calculus.
		Title: Integral Representations for the Eigenfunctions of Quantum Open and Periodic Toda Chains from QISM Formalism
		The stochastic limit of quantum theory: emergence of new statistics and interacting commutation relations.
	thsun1.jinr.ru /meetings/2000/group23/main.html (1842 words)

	Spin - All About All (Site not responding. Last check: 2007-11-05)
		For spin in mathematics, see the spinor group or the corresponding Lie algebra
		For group exercise using stationary bicycles, or continuous rotation of bicycle pedals, see spinning (cycling)
		This is a disambiguation page, a list of pages that otherwise might share the same title.
	www.allaboutall.info /article/Spin (278 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations
		Energy Citations Database (ECD) Document #4188911 - GALILEAN INVARIANCE AND THE SCHRODINGER EQUATION
		Availability information may be found in the Availability, Publisher, Research Organization, Resource Relation and/or Author (affiliation information) fields and/or via the "Full-text Availability" link.
		The Schrodinger equation is derived from the assumptions of Galilean invariance and the existence of a momentum operator acting within an irreducible representation of the Galilei group.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=4188911 (108 words)

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