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Topic: Orbital angular momentum

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angular momentum

angular frequency

angular velocity

Angular resolution

angular acceleration

Proof of angular momentum

angular size

conservation of angular momentum

perturbed angular correlation

angular aperture

Angular diameter distance

orbital angular momentum

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	Azimuthal quantum number - Wikipedia, the free encyclopedia
		The Azimuthal quantum number (or orbital/total angular momentum quantum number) symbolized as l is a quantum number for an atomic orbital which determines its orbital angular momentum.
		The atomic orbital wavefunctions of a hydrogen atom.
		Bohr argued that the angular momentum in any orbit n was nKh, where h is Planck's constant and K is some multiplying factor, the same for all the orbits, which was later determined to be 1/2π.
	en.wikipedia.org /wiki/Azimuthal_quantum_number (910 words)

	Angular momentum coupling - Wikipedia, the free encyclopedia
		The angular momentum coupling terms are the terms of the total Hamiltonian which do not commute with the subsystem individual angular momenta (or are not invariant with respect to the rotations of the subsystems).
		Collections of particles also have angular momenta and corresponding quantum numbers, and under different circumstances the angular momenta of the parts add in different ways to form the angular momentum of the whole.
		Angular momentum coupling is a category including some of the ways that subatomic particles can interact with each other.
	en.wikipedia.org /wiki/Angular_momentum_coupling (1322 words)

	Vector Model of Angular Momentum
		The orbital angular momentum for an atomic electron can be visualized in terms of a vector model where the angular momentum vector is seen as precessing about a direction in space.
		As in the case of the orbital angular momentum alone, the projection of the total angular momentum along a direction in space is quantized to values differeing by one unit of angular momentum.
		The z-component of angular momentum is quantized in values one unit apart, so for the upper level of the sodium doublet with j=3/2, the vector model gives the splitting shown.
	hyperphysics.phy-astr.gsu.edu /hbase/quantum/vecmod.html (565 words)

	Meson - Wikipedia, the free encyclopedia
		Both come in higher-energy versions where the spin is augmented by orbital angular momentum.
		The name of a flavorless meson is determined by its total spin S and total orbital angular momentum L.
		The orbital quantum number L is due to the revolution of one quark around the other.
	en.wikipedia.org /wiki/Meson (1088 words)

	Quantized Angular Momentum
		It is a characteristic of angular momenta in quantum mechanics that the magnitude of the angular momentum in terms of the orbital quantum number is of the form
		The relationship between the magnitude of the angular momentum and its projection along any direction is space is often visualized in terms of a vector model.
		When the orbital angular momentum and spin angular momentum are coupled, the total angular momentum is of the general form for quantized angular momentum
	hyperphysics.phy-astr.gsu.edu /hbase/quantum/qangm.html (343 words)

	Orbital Angular Momentum
		Angular momentum is actually a vector oriented perpendicular to the wire loop in the example we are discussing.
		The orientation of the angular momentum vector is defined by the direction in which your thumb points.
		Figure 9.6 illustrates the angular momentum vector associated with a bead moving on a wire loop which is tilted from the horizontal.
	www.physics.nmt.edu /~raymond/classes/ph13xbook/node99.html (523 words)

	s Orbital and Angular Momentum
		It cannot be moving because it would then have angular momentum which would mean it was no longer in the s orbital, but the p orbital (it could move in a straight line but then it would fly off into space).
		In the case of 's' orbitals the characteristic number (call it 'n') for the radial part of the allowed solutions require that: n = 1, 2, 3,..., and the acceptable solutions of both angular parts have characteristic numbers (l = 0, and m = 0).
		Similarly, the angular momentum quantum number is not so much designating a specific physical value, but really is referring to how that particular value goes into the Schroedinger equation.
	www.newton.dep.anl.gov /askasci/chem03/chem03457.htm (1565 words)

	Citebase - Quark Orbital Angular Momentum from Lattice QCD (Site not responding. Last check: 2007-11-01)
		Authors: Mathur, N. Dong, S. Liu, K. Mankiewicz, L. Mukhopadhyay, N. We calculate the quark orbital angular momentum of the nucleon from the quark energy-momentum tensor form factors on the lattice.
		From this and the quark spin content we deduce the quark orbital angular momentum to be 0.17 ± 0.06 which is ∼ 34% of the proton spin.
		We further predict that the gluon angular momentum to be 0.20 ± 0.07, i.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-ph/9912289 (182 words)

	Portrait - Angular Momentum
		ANGULAR MOMENTUM is a concept taken from astrophysics that derives from the combination of a moment of inertia with an angular velocity.
		ANGULAR MOMENTUM is a vector quantity, requiring the specification of both a magnitude and a direction for its complete description.
		The AXIS of rotation is inclined to the orbital plane at an angle of 24.935, and, as for the Earth, the tilt gives rise to seasons on Mars.
	www.angularmomentum.com /e/portrait.e/portrait.e.html (664 words)

	Giving Light a New Twist
		Orbital angular momentum is hard to visualize, admits Lorenzo Marrucci of the University of Naples, Italy, but it interacts with matter differently than spin does.
		With the right choice of this variation, the device doesn't absorb spin angular momentum when it reverses a photon's spin but instead switches it into orbital angular momentum of the outgoing photon.
		Although applications of the technique are some way off, both he and Marrucci note that orbital angular momentum allows light to carry more bits of information per photon than spin alone, so the ability to manipulate the orbital component could open up new communication methods.
	focus.aps.org /story/v17/st15 (711 words)

	Angular(1)
		Conservation of angular momentum, addition of angular momentum, the Clebsch-Gordan coefficients, orbital angular momentum and parity.
		The spin angular momenta and the orbital angular momentum of the particles in the final state must add to give the angular momentum of the initial state.
		The possible values for the orbital angular momentum quantum number are l=1 and l=2.
	electron6.phys.utk.edu /phys594/archives/quantum/Angular/angular1.htm (653 words)

	Light With Orbital Angular Momentum
		The drawing shows light carrying different amounts of orbital angular momentum, a newly exploited property of light that can be used to carry, and retrieve, a wealth of information.
		Cross-sections of an (a) ordinary "vertically polarized" light beam and (b) a beam with orbital angular momentum.
		Note that in light with orbital angular momentum, the direction of polarization (denoted by the direction of the arrow) does not change across the cross section.
	www.aip.org /png/2005/229.htm (270 words)

	General Chemistry Online: Glossary: Electrons in atoms
		The f orbitals generally have 3 nuclear nodes and rather complex shapes.
		value means the orbital has fewer nuclear nodes (planes that pass through the nucleus where the probability of locating the electron is zero).
		Electrons have an intrinsic angular momentum that is similar to what would be observed if they were spinning.
	antoine.frostburg.edu /chem/senese/101/electrons/glossary.shtml (1144 words)

	Angular Momentum
		To find the spin angular momentum, subdivide the object into small pieces of mass and find the angular momentum for each of the small pieces.
		This radiation is produced at the expense of the rotational energy and the angular momentum is not strictly conserved---it slowly decreases.
		The orbital angular momentum is conserved, so as the gas' distance from the compact companion DEcreases, its orbital speed must INcrease.
	www.astronomynotes.com /angmom/s2.htm (647 words)

	Glasgow ePrints Service - Orbital angular momentum, optical spanners, and rotational frequency shift
		Whereas the spin component arises from the spin of individual photons and is associated with circular polarization, the orbital component arises from the azimuthal component of the Poynting vector and is associated with helical wavefronts.
		The paper considers the generation of beams with orbital angular momentum, their interaction with matter, behavior in nonlinear media and frequency shifts arising from their rotation.
		In each case the properties of beams containing orbital and/or spin angular momentum is compared and explained.
	eprints.gla.ac.uk /1728 (178 words)

	Optics group » project areas » orbital angular momentum of light
		While the conservation of linear momentum places stringent conditions on the temperature and orientation of the crystal, the conservation of angular momentum changes the shape of the light beam.
		When the light beam has (spin or orbital) angular momentum, slightly absorbing objects will absorb not just some of the energy in the light beam, but also some of its angular momentum, causing the objects to rotate.
		Simpson, K. Dholakia, L. Allen, and M. Padgett, The mechanical equivalence of the spin and orbital angular momentum of light: an optical spanner, Opt.
	www.physics.gla.ac.uk /Optics/projects/AM (837 words)

	[23.07] Photon Orbital Angular Momentum in Astrophysics (Site not responding. Last check: 2007-11-01)
		Observations of the orbital angular momentum of photons --- a property of electromagnetic radiation that has come to the fore in recent years --- have apparently never been attempted in astronomy.
		By now it is known from laboratory studies that, in addition to carrying spin angular momentum, individual photons can carry N >> 100 units of orbital angular momentum h/2\pi.
		Since photons of any wavelength may be endowed with orbital angular momentum, some of these studies will best be carried out in the radio domain, while others will be better tackled at optical or higher frequencies.
	www.aas.org /publications/baas/v35n5/aas203/11.htm (190 words)

	Orbital angular momentum
		which represent the components of orbital angular momentum in quantum mechanics can be defined in an analogous manner to the corresponding components of classical angular momentum.
		The three commutation relations (304)-(306) are the foundation for the whole theory of angular momentum in quantum mechanics.
		The immediate conclusion which can be drawn from the commutation relations (304)-(306) is that the three components of an angular momentum vector cannot be specified (or measured) simultaneously.
	farside.ph.utexas.edu /teaching/qm/lectures/node34.html (415 words)

	Orbital Angular Momentum Eigenfunctions
		Fortunately, many systems of interest do have spherical symmetry, at least to a good approximation, the basic example of course being the hydrogen atom, so the natural set of basis states is the common eigenkets of energy and angular momentum.
		not angular momentum eigenstates, since they are standing waves, linear superpositions of waves going around the ring in opposite directions.
		The common eigenstates of the Hamiltonian and the angular momentum evidently have the form
	galileo.phys.virginia.edu /classes/751.mf1i.fall02/OrbitalEgnfns.htm (961 words)

	Orbital mp3 search (Site not responding. Last check: 2007-11-01)
		Orbital Science Friction The Girl With Sun In Her Head, Acid Pants (JDS Mix), The Box, Pt.
		Orbital Confrontation, Impact (The Earth Is Burning), Waving Not Drowning.
		Orbital DWR BUDR, Meet The Father, The Naked And The Dub, Technologicque Park.
	orbital.emmsa.net (1546 words)

	orbital angular momentum
		No, I hadn't, I know light has spin angular momentum, but I never realized it had orbital angualr momentum too.
		As far as I'm aware, there are no other sorts of angular momentum other than those described associated with the photon (excpet for things like total angualr momentum which is the sum of spin and orbital angular momentum).
		No, it was just that I didn't know light had orbital momentum.
	www.physicsforums.com /showthread.php?p=82948 (551 words)

	Orbital - mp3, full albums in mp3, free mp3's Download : One Perfect Sunrise (CD2), Doctor Look Out , Speed Freak,... (Site not responding. Last check: 2007-11-01)
		Orbital System Of A Down Total Paranoia, Impact USA (The Earth Is Burning Diversion) Illuminate (Short Version).
		Orbital Bryan Adams Sad But True, Lush 3-5 (C J Bolland).
		Orbital Blood Is Thicker Adventures Of Robinson Crusoe Strangeness In The Night.
	orbital.votre-referencement.com (1175 words)

	Citebase - Quark Orbital-Angular-Momentum Distribution in the Nucleon (Site not responding. Last check: 2007-11-01)
		We introduce gauge-invariant quark and gluon angular momentum distributions after making a generalization of the angular momentum density operators.
		From the quark angular momentum distribution, we define the gauge-invariant and leading-twist quark it orbital angular momentum distribution L
		We comment upon the evolution equations obeyed by this as well as other orbital distributions considered in the literature.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-ph/9804337 (150 words)

	Ferromagnetism (Site not responding. Last check: 2007-11-01)
		The property of ferromagnetism is due to the direct influence of two effects from quantum mechanics: spin and the Pauli exclusion principle.
		The spin of an electron, combined with its orbital angular momentum, results in a magnetic dipole moment and creates a magnetic field.
		These permanent dipoles (often called simply "spins" even though they also generally include orbital angular momentum) tend to align in parallel to an external magnetic field, an effect called paramagnetism.
	www.neodymiummagnets.info /ferromagnetism.php (1035 words)

	SEP: Bell's Theorem
		In these theories the entity supplementing the quantum state (which is a wave function in the position representation) is typically a classical entity, located in a classical phase space and therefore characterized by both position and momentum variables.
		Because the dissociation is a two-body process, momentum conservation guarantees that the directions of the two atoms after dissociation are strictly correlated, so that when the two analyzer/detector assemblies are optimally placed the entrance of one
		Hg atom into its analyzer/detector will almost certainly be accompanied by the entrance of the other atom into its assembly; the primary reason for the occasional failure of this coordination is the non-zero volume of the region in which the dissociation occurs.
	plato.stanford.edu /entries/bell-theorem (12693 words)

	UNM/RBRC Workshop on Parton Orbital Angular Momentum
		Several methods have been proposed to access partonic angular momenta experimentally, including Deeply Virtual Compton Scattering, measuring the Sivers functions, and measuring helicity dependent k
		We would like this workshop to clarify the state of the art in the theoretical understanding in this area, and to help define what might be learned about partonic orbital angular momenta from present and upcoming high precision data at RHIC in particular.
		We have reserved a block of rooms at Hotel Albuquerque located in
	panda.unm.edu /fields/partonorbital.html (306 words)

	Angular Momentum (Site not responding. Last check: 2007-11-01)
		in the classical expression of the angular momentum
		According to these equations both the magnitude of the angular momentum and one (any) of its components can be simultaneously determined, since there is always a set of eigenfunctions that is common to
		This equation establishes the connection between the operator associated with a coordinate transformation and the angular momentum operator.
	xbeams.chem.yale.edu /~batista/vvv/node16.html (416 words)

	Orbital angular momentum and massless particles
		The authors analyse certain realizations of the rotation group in which half-integer representations appear, even though he employs scalar fields only.
		This angular momentum is interpreted as being purely orbital, and is shown to apply only to massless particles.
		He describes also position and momentum operators which can be defined.
	stacks.iop.org /0305-4470/10/525 (209 words)

	ScienceDaily: Algorithm Advance Produces Quantum Calculation Record
		Atomic orbital -- Atomic orbitals are the quantum states of the individual electrons in the electron cloud around a single...
		Spin (physics) -- In physics, spin refers to the angular momentum intrinsic to a body, as opposed to orbital angular momentum, which is generated by the motion of its center of mass about an external...
		Seismic wave -- A seismic wave is a wave that travels through the Earth, often as the result of an earthquake or explosion.
	www.sciencedaily.com /releases/2006/03/060320215143.htm (1697 words)

	Orbital angular momentum in Nelson's stochastic mechanics
		More precisely, we consider stochastic motion, according to Nelson's form of Newton's second law of dynamics, in a magnetic field having an axis z of cylindrical symmetry and a gradient in the direction of this axis.
		We show that there are two sets of functionals of the stochastic process having the same law as the component of quantum mechanical angular momentum along z.
		The functionals of the first set involve the z coordinate of the process and correctly model the behaviour of the `needle of the measuring apparatus'.
	stacks.iop.org /0305-4470/33/3225 (281 words)

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