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Topic: Conserved quantity

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extensive quantities

dimensionless quantity

Intensive quantities

Infinitesimal quantity

Quantity Is Job 1

conserved quantity

bill of quantities

printing quantity

quantity change

time dependent quantity

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	Conservation law - Wikipedia, the free encyclopedia
		On the other hand, if the conserved quantity is allowed to appear somewhere else, but with the total amount of the conserved quantity remaining the same, then we have a global conservation law.
		For instance, time invariance implies that energy is conserved, translation invariance implies that momentum is conserved, and rotation invariance implies that angular momentum is conserved.
		In fact, quantities that are conserved, the invariants, seem to preserve what some would like to call some kind of a 'physical reality' and seem to have a more meaningful existence than many other physical quantities.
	en.wikipedia.org /wiki/Conservation_law (422 words)

	Conservation of energy - Wikipedia, the free encyclopedia
		The energy conservation law is possibly the most important, and certainly the most practically useful, of several conservation laws in physics.
		The energy conservation law is a mathematical consequence of the shift symmetry of time; energy conservation is implied by the empirical fact that physical laws remain the same over time.
		Thus, the rule of conservation of energy was shown to be a special case of a more general rule, alternatively called the conservation of mass and energy, the conservation of mass-energy, the conservation of energy-momentum, the conservation of invariant mass or now usually just referred to as conservation of energy.
	en.wikipedia.org /wiki/Conservation_of_energy (2044 words)

	3. Very local models
		Conservation laws are fundamental in physics, and so they should be a part of a physical model.
		Global conservation will be achieved by construction: a certain variable or set of variables are designated as conserved quantities, and we design rules so that every local update leaves the sum of each conserved quantity over all sites unchanged.
		Periodically, a given pair of neighbors exchanges a packet of the conserved quantity; the loss from one is equal to the gain of the other.
	www-swiss.ai.mit.edu /~rauch/dapm/paper/node3.html (1182 words)

	[No title]
		Conservation is the understanding that a quantitative relationship between two objects (or systems) is conserved (is unchanged) in face of irrelevant change in one of the objects (or systems).
		Students were then asked to compare the two objects in respect to the conserved quantity A. Each student was asked to compare another quantity B, which was not conserved by the specific manipulation.
		The similarity between the pattern of students` equality judgments to both conserved and non-conserved quantity was very striking.
	www.tau.ac.il /~masof/eduweb/toar3/etakzir2001-9.doc (644 words)

	Conservation
		There are a number of conserved quantities which we will deal with: mass, energy, momentum, electric charge.
		Each is conserved because the physics equations which we use to describe them has a "symmetry": there is some transformation which leaves the equation unchanged.
		Momentum is conserved in collisions because the forces acting during the collisions are purely internal to the colliding objects.
	www.rwc.uc.edu /koehler/biophys/2e.html (879 words)

	TFCBooks -- Tesla Site Glossary
		Although current is usually treated as a continuous quantity, it actually consists of the transfer of millions of individual charges from atom to atom, typically by the transfer of electrons.
		Quantity of electricity that flows in electric currents or that accumulates on the surfaces of dissimilar nonmetallic substances that are rubbed together briskly.
		Pertaining to the phase relationship between two periodic quantities varying with the same period, that is, with the same frequency or repetition rate, when the phase difference between them is one-quarter of their period.
	www.tfcbooks.com /mainpage/glossary.htm (12260 words)

	Water Resources Dept._690_018
		Conserved water shall not be allocated pursuant to an application under these rules if the application is filed more than five years after the conservation measure was implemented.
		(3) "Conservation" means the reduction of the amount of water diverted to satisfy an existing beneficial use achieved either by improving the technology or method for diverting, transporting, applying or recovering the water or by implementing other approved conservation measures.
		Any conserved water reserved instream shall maintain its priority date and will not be subject to abandonment under ORS 540.610 to 540.670.
	arcweb.sos.state.or.us /rules/OARS_600/OAR_690/690_018.html (3797 words)

	No Title (Site not responding. Last check: 2007-10-31)
		If we identify a conserved physical quantity, the velocities and positions at different times during the motion must be related in such a way that the value of such a quantity remains constant.
		The value of such a conserved quantity can be calculated by noting that, prior to firing the gun, both the bullet and the gun are at rest and therefore their total momentum value is zero.
		The principle of momentum conservation thus allows us to conclude that the gun will move opposite to the bullet (recoil) with a speed that differs from that of the bullet's by a factor equal to their mass ratio.
	www.physics.vanderbilt.edu /perakis/L8_00/L8_00.html (1858 words)

	Discovery Lab on Momentum
		Each of these quantities (combinations of m and v) must not violate "physics sense." Remember that both mass and velocity have units, and that there are certain things that you cannot do with quantities that have units or that have different units.
		Now use your knowledge of which quantity is conserved to predict the final velocities of the coupled gliders in completely inelastic collisions in which both gliders are moving before the collision.
		Collect data and determine whether your conserved quantity for completely inelastic collisions is also conserved for the non-inelastic collision.
	www.phy.duke.edu /~kolena/physics/labs/consofp1.html (916 words)

	SEP: Causal Processes
		An exchange occurs when at least one incoming, and at least one outgoing process undergoes a change in the value of the conserved quantity, where ‘outgoing’ and ‘incoming’ are delineated on the space-time diagram by the forward and backward light cones, but are essentially interchangeable.
		It does possess conserved quantities, its world line does constitute a causal process, and it is not capable of moving faster than the speed of light.
		Therefore "whether or not an object possesses a conserved quantity" is an adequate criterion for distinguishing causal from pseudo processes.
	plato.stanford.edu /entries/causation-process (5466 words)

	PL213: Causation and Physics
		A conserved quantity is any quantity that is governed by a conservation law such as mass-energy, linear momentum, and charge (but not velocity).
		So in a (close) possible world, which has the same conservation laws as ours, and where only one object possesses a conserved quantity that obeys conservation laws, the word line of that object is a causal process.
		So not only does it pass the 'billiard ball collision test' (case of conserved quantity exchange, condition 2), but it also make continued movement from space count as a causal process due to the inertia of the object (case of conserved quantity possession, condition 1).
	www.brown.edu /Departments/Philosophy/Douglas_Kutach/PL213a.html (4849 words)

	SparkNotes: Dynamics: Terms and Formulae for Relativistic Dynamics
		This quantity is conserved in all collisions and decays.
		Relativistic momentum - The quantity that is conserved in all collisions in relativity is not p = mv but p = γmv.
		This is a particularly useful quantity because it is in independent of the frame in which it is measured.
	www.sparknotes.com /physics/specialrelativity/dynamics/terms.html (467 words)

	boosts
		Using the fact that total mass is conserved we can turn this conserved quantity into something perhaps a bit simpler: the center of mass minus t times the velocity of the center of mass.
		The corresponding conserved quantity is an example of an "explicitly time dependent constant of the motion" and has the physical interpretation of the initial position of the center of mass of the system.
		The Einstein-relativistic generalization of Galilean-relativistic angular momentum and initial center of mass is a bit complicated since the Galilean version of these quantities involves, in effect, a preferred notion of simultaneity, which is of course absent in Einstein relativity.
	math.ucr.edu /home/baez/boosts.html (1638 words)

	Parity & Time Reversal Group - Introduction
		For example, invariance of a physical system under spatial translation leads to conservation of momentum; invariance under rotation leads to conservation of angular momentum; invariance under time evolution leads to conservation of energy, and so on.
		For example, the parity of an energy state in an atom is a conserved quantity provided only the electromagnetic interaction is considered.
		But in 1957 experiments with radioactive nuclei showed that the weak interaction does not conserve parity; that is, it gives rise to processes that are fundamentally handed.
	www.phys.washington.edu /users/fortson/intro.html (794 words)

	No Title
		We constructed the conserved charge and found it coincided with the Jacobi integral discussed earlier, which is constant whenever L has no explicit time-dependence.
		It is quite natural to think of the Hamiltonian H, instead of the Lagrangian L, as the primary quantity governing a system's motion, and to phrase physical laws in terms of H.
		That is, we get a local charge conservation law, relating changes in charge density within a region to inflows and outflows of current from that region.
	www.emory.edu /PHYSICS/Faculty/Benson/361/notes/30/30.html (472 words)

	Oscillatory pattern formation with a conserved quantity (Site not responding. Last check: 2007-10-31)
		The influence of a conserved quantity on an oscillatory pattern-forming instability is examined in one space dimension.
		Amplitude equations are derived which are not only generic for systems with a pseudoscalar conserved quantity (e.g.
		For both forms of waves, the corresponding modulational stability boundaries are significantly altered by the presence of the conserved quantity; also, new instabilities are generated.
	stacks.iop.org /0951-7715/18/1031 (296 words)

	Symmetry and the Golden Rule (Site not responding. Last check: 2007-10-31)
		Whenever a process in the particle world displays a certain symmetry, there is a measurable quantity which is 'conserved'; a quantity, that is, which remains constant during the process.
		These quantities provide elements of constancy in the complex dance of subatomic matter and are thus ideal to describe the particle interactions.
		Some quantities are conserved in all interactions, others only in some of them, so that each process is associated with a set of conserved quantities.
	www.epcomm.com /fmbr/editoral/symmgold.htm (469 words)

	Citebase - Towards a Canonical Formalism of Field Theory on Discrete Spacetime (Site not responding. Last check: 2007-10-31)
		The difference equation of motion which maintains a conserved quantity like energy has a very restricted form that is not probably derived by the least action principle.
		We formulate a quantum field theory canonically on discrete spacetime in the case where the field equation is derived from an action, though there may be no exactly conserved quantity.
		It may, however, be expected that a conserved quantity exists for a low "energy" region.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/9307112 (230 words)

	Why Do They Live So Long? (Site not responding. Last check: 2007-10-31)
		Well, electric charge Q is a conserved quantity - not only is the total amount of charge in the universe constant, but the net charge in any reaction must also remain unchanged at every step.
		The assignment of names to these ephemeral quantities which Nature seems to hold in such reverence is pretty much arbitrary, so their ``discoverers'' get to think up names they think are mnemonic, allusive or just cute.
		This new quantity, conserved in strong interactions but not necessarily in weak interactions, was called `` strangeness'' for reasons that were obvious but hopelessly parochial.
	musr.physics.ubc.ca /~jess/p200/hep/node12.html (671 words)

	[No title]
		Symmetry under rotation in the xy plane corresponds to conservation of L_z = r_x p_y - r_y p_x (where r and p are linear position and momentum).
		If you have a system of particles, that a quantity is conserved means that the sum of this quantity for all particles is conserved.
		OTOH, if you have a system of fields, that a quantity is conserved means that the integral of its density over all space is conserved.
	www.math.niu.edu /~rusin/known-math/00_incoming/nother (1925 words)

	Conserved values always derived from Action Integral
		most conserved charges are due to some symmetry of the action, but not all.
		Physical constants are not regarded as conserved quantities.
		baryon number is not conserved by a gauge symmetry, but it is still a symmetry nonetheless.
	www.physicsforums.com /showthread.php?p=107475 (1490 words)

	Eotvos and Novel Equivalence Principle Tests
		A conserved quantity derives from each symmetry commuting with time, and the reverse.
		Conservations can be relaxed in subsystems displaying reduced symmetry (Born scattering approximation, Fermi's golden rule, Snell's law).
		A classical field theory conserved quantity does not demand a quantum field theory conserved quantity in kind.
	www.mazepath.com /uncleal/eotvos.htm (7763 words)

	No Title
		We showed how the conserved quantity associated with spatial translation is linear momentum.
		We then considered a system with rotational invariance (for example, the motion of a particle under the gravitational influence of a very massive body at the origin).
		The conserved quantity related to time translation invariance thus has deep significance, so much so that it has received its own name: the Hamiltonian H.
	www.emory.edu /PHYSICS/Faculty/Benson/380-96/notes/4/4.html (389 words)

	Structure of Matter
		The total angular momentum, due to spin and rotational motion, is a useful quantity to keep track of because it is always unchanged.
		Angular momentum is still conserved, it just changed forms.
		First it was in the form of spin and now it is in the form of rotational angular momentum.
	nobelprize.org /educational_games/physics/matter/6.html (244 words)

	Rate Eqn Derivation
		Conservation principles, in conjunction with the thermodynamic concept that potential differences drive fluxes, can be used to develop rate equations that describe the behavior of physical systems.
		You can fill in the blank with the conserved quantity of your choice.
		Mathematical application of a conservation principle, i.e., finding appropriate mathematical expressions for bookkeeping to keep track of conserved quantities, leads directly to formulation of rate equations through the definition of the derivative.
	www.pitt.edu /~patzer/dialysis/rteqnderivation.htm (348 words)

	Noether's Theorem
		This expresses the general conservation of angular momentum about the z axis, and in the same way we can show that the physical symmetry under re-orientations about the x or y axes implies conservation of angular momentum about those axes as well.
		Thus the quantity in square brackets is constant. As an illustration, consider the mass-spring system shown below.
		Since L = T – V the conserved quantity corresponding to time symmetry is
	www.mathpages.com /home/kmath564/kmath564.htm (643 words)

	Newtonian and Relativistic Conservation Laws
		A third conservation law emerged in Newtonian physics, namely, the conservation of a scalar E = m
		= 0 and the left hand quantity is simply the rest mass-energy E of the particle. This shows that, in general, the mass-energy E(v) of a particle with velocity v is related to the mass-energy E(0) of the same particle at rest by
		Also, the approximate equalities appearing in this derivation are slightly distracting, especially to modern readers who are familiar with exact formulations.
	www.mathpages.com /home/kmath407/kmath407.htm (696 words)

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