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Topic: Adiabatic process quantum mechanics

	Adiabatic process
		Another example is the adiabatic flame temperature, which is the temperature that would be achieved by a flame in the absence of heat loss to the surroundings.
		Adiabatic heating and cooling are processes that commonly occur due to a change in the pressure of a gas.
		In quantum mechanics, an adiabatic change is a sufficiently slow change in the Hamiltonian which would result only in a change of eigenvalues, not eigenstates.
	www.abacci.com /wikipedia/topic.aspx?cur_title=Adiabatic_process (1056 words)

	Adiabatic process - Wikipedia, the free encyclopedia
		Another example is the adiabatic flame temperature, which is the temperature that would be achieved by a flame in the absence of heat loss to the surroundings.
		Since temperature is thermodynamically conjugate to entropy, the isothermal process is conjugate to the adiabatic process for reversible transformations.
		Adiabatic heating and cooling are processes that commonly occur due to a change in the pressure of a gas.
	en.wikipedia.org /wiki/Adiabatic_process (1003 words)

	Adiabatic process (Site not responding. Last check: 2007-10-31)
		In thermodynamics, an adiabatic process is a process in which no heat is gained or lost in the working fluid.
		Adiabatic cooling occurs when the pressure of a gas is suddenly decreased, such as when it expands into a larger volume.
		If adiabats and isotherms are graphed severally at regular changes of entropy and temperature, respectively (like altitude on a contour map), then as the eye moves outwards away from the axes (towards the north-east), it sees the density of isotherms stay constant, but it sees the density of adiabats drop.
	www.abcworld.net /Adiabatic_process.html (851 words)

	Omnipelagos.com ~ article "Adiabatic process"
		In thermodynamics, an adiabatic process or an isocaloric process is a process in which no heat is transferred to or from working fluid.
		Since temperature is thermodynamically conjugate to entropy, the isothermal process is conjugate to the adiabatic process for reversible transformations.
		If adiabats and isotherms are graphed severally at regular changes of entropy and temperature, respectively (like altitude on a contour map), then as the eye moves towards the axes (towards the south-west), it sees the density of isotherms stay constant, but it sees the density of adiabats grow.
	www.omnipelagos.com /entry?n=adiabatic_process (909 words)

	nl adiabatisch Adiabatic processes are processes in which no heat...
		Adiabatic heating and cooling are processes that commonly occur due to a change in the pressure pressure of a gas gas.
		In quantum mechanics quantum mechanics, an adiabatic change is a sufficiently slow change in the Hamiltonian Hamiltonian which would result only in a change of eigenvalue eigenvalues, not eigenstate eigenstates.
		If, in such a process, there is a qualitative change in the properties of the ground state (for example the spin spin), the change is called a quantum phase transition quantum phase transition.
	www.biodatabase.de /adiabatic (734 words)

	Adiabatic process - Term Explanation on IndexSuche.Com
		The mathematical equation for an adiabatic process is : P V^{\gamma} = \operatorname{constant} \qquad where ''P'' is pressure, ''V'' is volume, and : \gamma = {C_{P} \over C_{V}}, C_{P} being the molar_specific_heat for constant pressure and C_{V} being the molar_specific_heat for constant volume.
		In quantum_mechanics, an adiabatic change is a sufficiently slow change in the Hamiltonian which would result only in a change of eigenvalues, not eigenstates.
		If, in such a process, there is a qualitative change in the properties of the ground state (for example the spin), the change is called a quantum_phase_transition.
	www.indexsuche.com /Adiabatic_process.html (924 words)

	Chemistry - Adiabatic process (quantum mechanics)
		In quantum mechanics, an adiabatic process is an infinitely slow change in the Hamiltonian of a system.
		Adiabatic processes are important idealizations of "sufficiently slow" processes and bear important consequences for quantum mechanics (see adiabatic theorem).
		Note that the term "adiabatic" is traditionally used in thermodynamics to describe processes without the exchange of heat between system and environment (see adiabatic process).
	www.chemistrydaily.com /chemistry/Adiabatic_process_%28quantum_mechanics%29 (125 words)

	Quantum mechanics with single atoms and photons (December 2000) - Physics World - PhysicsWeb
		One of the driving forces behind the development of quantum mechanics at the start of the last century was the need to understand why atoms only emit light at certain wavelengths.
		This quantum is therefore shared by the atom (as electronic excitation) and the cavity (as a photon), just as the electron in the hydrogen molecule is shared by both protons.
		Gerhard Rempe is at the Max Planck Institute for Quantum Optics, 85748 Garching, Germany, e-mail gerhard.rempe@mpq.mpg.de.
	physicsweb.org /article/world/13/12/10/1 (4404 words)

	thermodynamics - Encyclopedia.com
		For an ideal gas the internal energy depends only on the temperature; hence the internal energy remains constant during an isothermal change, and the heat absorbed from or by the reservoir is equal to the work done on or by the environment.
		However, mechanical work done on a body can also increase its internal energy; e.g., the internal energy of a gas increases when the gas is compressed.
		A cyclic process is one that returns the system, but not the environment, to its original state.
	www.encyclopedia.com /doc.aspx?id=1E1:thermody (1875 words)

	QUANTUM INFORMATION PROCESSING
		Penrose suspects that aspects of quantum physics not yet understood might be needed to explain consciousness.
		The change in state will remain adiabatic during the change in hamiltonian if the local minima are sufficiently shallow relative to the global minimum that the ground state is not significantly localized in local minima during the change.
		Quantum effects tend to increase with the number of coupled degrees of freedom.
	www.fiu.edu /~mizrachs/quantum-process.html (2249 words)

	Definitions
		Such a process is known as an "Adiabatic Demagnetization." Both of these described processes are known as the "magneto-caloric effect" and are the result of latent heat exhibited at the phase transition which is exchanged with the internal energy of the superconductor (the phase transition being adiabatic).
		A heat engine process cycle applied to a coherent superconductor in which a Coherent Magneto-Caloric Effect occurs at the phase transitions, wherein the coherent superconductor performs work and a heat influx is needed to restore the internal energy of the coherent superconductor to its original value.
		An energy transfer process of the Keefengine by which work output from Segments of an Envelopment of a Keefengine is output via some useful modality, as for example electrically (ie., as a generator), mechanically (ie., as a motor), or thermally (ie., as a heat mover).
	www.keefengine.com /Terminology.htm (2285 words)

	Quantum Information and Spintronics
		Quantum information processing requires storage, control, and manipulation of information in a quantum system very much like the classical information is processed by classical bits, 0 and 1.
		The biggest challenge in quantum information science is the experimental realization of a quantum two-level system or a quantum bit (qubit) that can stay quantum mechanical for a time long enough for a number of manipulations.
		Quantum mechanics manifests in these structures because the characteristic length scale for “the fundamental property” of quantum mechanics—that is, quantum coherence—is on the order of few nanometers to microns.
	nano.bu.edu /quantum1-b.htm (2069 words)

	Adiabatic process
		Adiabatic processes are processes in which no heat is gained or lost in the working fluid.
		The term also describes things that are impermeable to heat transfer; for example, an adiabatic boundary is a boundary that is impermeable to heat transfer.
		A reversible isentropic process is also an adiabatic process.
	www.gamesinathens.com /olympics/a/ad/adiabatic_process.shtml (399 words)

	Visualizing Quantum Mechanics
		introductory quantum mechanics, heavily relying on high-end graphic workstations, may serve as an innovative model for the teaching of such courses.
		This process, actively carried out by the student with the aid of the computer, should present the student with enough proficiency and mathematical insight to understand further manipulation of the model - up to the ability to analyze and apply.
		Mastery of quantum mechanics is a prerequisite to other important subjects in the undergraduate chemistry curriculum such as spectroscopy, chemical dynamics, solid state physics and more.
	www.fh.huji.ac.il /~guy/papers/ECCC4/ECCC4.html (3198 words)

	Adiabatic process
		Adiabatic Process An adiabatic process is one in which no heat is gained or lost by the system.
		Adiabatic process Adiabatic processes are processes in which no heat is gained or lost in the working fluid.
		Definition: An adiabatic process is a thermodynamic process in which there is no heat transfer (Q) into or out of the system.
	www.logicjungle.com /Adiabatic_process.html (291 words)

	Research News: Closing In On Quantum Chemistry
		Simulated quantum calculations of the ground-state energies of water (H 2O) and lithium hydride (LiH) are the first of this kind ever done for specific molecules.
		Indeed, exact solutions of the Schrödinger equation, the fundamental expression of quantum mechanics, are so complicated that classical computers are only able to exactly solve very small molecules, about the size of water, because the time needed for computation increases exponentially with size.
		Using quantum algorithms on a quantum computer, however, the number of calculations (and thus the time) grows only polynomially — faster than linearly, but still "efficiently" — as the size of the basis set grows.
	www.lbl.gov /Science-Articles/Archive/CSD-quantum-chemistry.html (1159 words)

	Untitled Document (Site not responding. Last check: 2007-10-31)
		A reversible process is one in which both the system and its environment (the rest of the universe) can be returned to exactly the states (of P, V, and T) they had before the process occurred.
		In thermodynamics, an adiabatic process is a process in which no heat is gained or lost in the working fluid.
		The term "adiabatic" describes things that are impermeable to heat transfer; for example, an adiabatic boundary is a boundary that is impermeable to heat transfer.
	thermoprinciples.net.ru /process.htm (852 words)

	Quantum Computing (Stanford Encyclopedia of Philosophy)
		According to the quantum adiabatic theorem and given the gap condition, the result of such a physical process is another energy ground state that encodes the solution to the desired decision problem.
		Observables—in the quantum circuit model there are only two, the preparation of the initial state and the observation of the final state, in the same basis, and of the same variable, at the end of the computation—are not as important here as in Bell's case since any measurement commutes with itself.
		Consequently, in the quantum circuit model one should count the number of computational steps in the computation not by counting the number of transformations of the state, but by counting the number of one- or two-qubit local transformations that are required to create the ‘clever’ superposition that ensures the desired "speed-up".
	plato.stanford.edu /entries/qt-quantcomp (9666 words)

	mca-adiabatic
		This is the basic warrant for the buffering or filtering effect between non-adjacent levels in the timescale hierarchy, and therefore for the usefulness of defining timescales as being distinct from one another in the first place.
		A process which produces change only very slowly seems to us not to be a process at all, but a constant fact of life.
		Moreover, and this goes beyond and adds to the separability of timescales guaranteed by the adiabatic principle, we are buffered from fast, small-scale events, like ionization of individual atoms in our bodies or even errors in gene transcription, by longer term regulatory and self-correcting processes typical of the intermediate scales of autopoietic or self-organizing systems.
	www-personal.umich.edu /~jaylemke/webs/time/mca-adiabatic.htm (485 words)

	Quantum Computing & the Future of the Human Species -A Galaxy Insight \| The Daily Galaxy: News from Planet Earth & ...
		Quantum computers can also efficiently solve certain mathematical problems, such as factorization, which are classically intractable, and can implement types of cryptography which are classically impossible.
		Quantum hardware, on the other hand, remains an emerging field, but the work done thus far suggests that it will only be a matter time before we have devices large enough to test Shor's and other quantum algorithms.
		Quantum computers would harness the power of atoms and molecules to perform memory and processing tasks on a scale far beyond those of current computers.
	www.dailygalaxy.com /my_weblog/2007/08/quantum-computi.html (2006 words)

	Adiabatic process (quantum mechanics) - Wikipedia, the free encyclopedia
		In quantum mechanics, an adiabatic process is an infinitely slow change in the Hamiltonian of a system.
		Adiabatic processes are important idealizations of "sufficiently slow" processes and bear important consequences for quantum mechanics (see adiabatic theorem).
		Note that the term "adiabatic" is traditionally used in thermodynamics to describe processes without the exchange of heat between system and environment (see adiabatic process).
	en.wikipedia.org /wiki/Adiabatic_process_(quantum_mechanics) (151 words)

	Computational Approaches to Time-Dependent Quantum Dynamics Workshop (Site not responding. Last check: 2007-10-31)
		The time-dependent quantum mechanics of heavy particles moving on a single potential energy surface can often be represented surprisingly well by the evolution of classical trajectory ensembles.
		However, manifestly quantum mechanical phenomena such as transitions between coupled electronic states, electronic coherence and its decay, or quantum mechanical tunneling require fundamental modification of the purely classical equations of motion.
		The transfer process forms the foundation for solar cells of the Graetzel type and is typical of the dye sensitized semiconductor nano-materials used in photocatalysis and photoelectrolysis.
	www.cfa.harvard.edu /itamp/quantum.html (3441 words)

	Let the quantum games begin (October 2002) - Physics World - PhysicsWeb
		A qubit is a two-level quantum system, such as the spin of an electron or the ground state and excited state of an atom.
		Entanglement is a purely quantum effect that many physicists believe is the essential ingredient for unleashing the potential power of quantum information processing and quantum cryptography - indeed Albert Einstein considered entanglement to lie at the heart of the fundamental "spookiness" of quantum mechanics.
		Quantum game theory may eventually provide the tools to help understand the interactions of fundamental particles or molecules if we treat them as individuals as in figure 2.
	physicsweb.org /articles/world/15/10/7 (4160 words)

	Adiabatic process
		The ambient atmosphere lapse rate, which is the rate that air cools as one goes up in altitude.
		The dry adiabatic lapse rate applies to air which is below its dew point, ie which is not saturated by water vapor, whereas the wet adiabatic lapse rate applies to air which has reached its dew point.
		Adiabatic cooling is a common cause of cloud formation.
	www.askfactmaster.com /Adiabatic_process (863 words)

	quantum information science @ mit - seminars
		Entanglement entropy of fermions and the Widom conjecture
		Quantum lattice gases are known to reproduce the Dirac equation in one dimension and the Schroedinger equation in D dimensions.
		Schumacher\'s quantum source coding theorem states that the optimal rate of compression for a source of quantum states is given by the von Neumann entropy of the source\'s average density operator.
	qis.mit.edu /seminars.php?q=past (15507 words)

	Thermodynamics
		While dealing with processes in which systems exchange matter or energy, classical thermodynamics is not concerned with the rate at which such processes take place, termed kinetics.
		In this connection, a central concept in thermodynamics is that of quasistatic processes, which are idealized, "infinitely slow" processes.
		The work exchanged in an adiabatic process depends only on the initial and the final state and not on the details of the process.
	www.askfactmaster.com /Thermodynamics (1734 words)

	Perturbation theory (quantum mechanics) - Wikipedia, the free encyclopedia
		In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one.
		In the theory of quantum electrodynamics (QED), in which the electron-photon interaction is treated perturbatively, the calculation of the electron's magnetic moment has been found to agree with experiment to eleven decimal places.
		In quantum chromodynamics, for instance, the interaction of quarks with the gluon field cannot be treated perturbatively at low energies because the coupling constant (the expansion parameter) becomes too large.
	en.wikipedia.org /wiki/Perturbation_theory_(quantum_mechanics) (2260 words)

	General Energy Equation
		Heat Q may be transferred in out of the process and work W may be done to the system or by the system but the net total must be zero.
		In an adiabatic process no heat is transferred in or out of the working substance.
		The process of expanding steam in the engine is an adiabatic process and the work done by that expansion may be computed by the above formula.
	ghlin2.greenhills.net /~apatter/general.html (1040 words)

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