
	Where results make sense

Topic: Quantum statistical mechanics

Related Topics

Canonical ensemble

Thermodynamics

Equipartition theorem

Boltzmann factor

Classical electromagnetism

Israeli Defence Forces

Ultraviolet catastrophe

Boltzmann constant

Heat capacity

Physics

Toronto blessing

Random Lake, Wisconsin

Black body

Continuum

Elephant 6 Collective

In the News (Mon 30 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Quantum mechanics - Wikipedia, the free encyclopedia
		An alternative formulation of quantum mechanics is Feynman's path integral formulation, in which a quantum-mechanical amplitude is considered as a sum over histories between initial and final states; this is the quantum-mechanical counterpart of action principles in classical mechanics.
		For instance, the well-known model of the quantum harmonic oscillator uses an explicitly non-relativistic expression for the kinetic energy of the oscillator, and is thus a quantum version of the classical harmonic oscillator.
		Quantum electrodynamics is a quantum theory of electrons, positrons, and the electromagnetic field, and served as a role model for subsequent quantum field theories.
	en.wikipedia.org /wiki/Quantum_mechanics (4111 words)

	Quantum mechanics (Site not responding. Last check: 2007-10-20)
		Quantum mechanics describes the instantaneous state of a system with a wave function that encodes the probability distribution of all measurable properties, or observables.
		The quantum field theory of the strong nuclear force is quantum chromodynamics, which describes the interactions of the subnuclear particles, the quarks and gluons.
		Analytic quantum solutions that describe the system behavior in terms of known mathematical functions are available only for a small class of systems, of which the harmonic oscillator and the hydrogen atom are the most important representatives.
	www.sciencedaily.com /encyclopedia/quantum_mechanics_1 (2842 words)

	Philosophy of Statistical Mechanics
		Statistical mechanics was the first foundational physical theory in which probabilistic concepts and probabilistic explanation played a fundamental role.
		The account offered by statistical mechanics of the asymmetry in time of physical processes also plays an important role in the philosopher's attempt to understand the alleged asymmetries of causation and of time itself.
		Philosophers dealing with statistical explanation have generally focussed on everyday uses of probability in explanation, or the use of probabilistic explanations in such disciplines as the social sciences.
	plato.stanford.edu /entries/statphys-statmech (5119 words)

	Introductory Applied Quantum and Statistical Mechanics: Current Amazon U.S.A. One-Edition Data (Site not responding. Last check: 2007-10-20)
		Quantum mechanics is vitally important in the study and design of semiconductor devices.
		The latest electronic and photonic devices have quantum mechanics at their core, and the emergence of quantum computing further increases the engineering importance of the subject.
		Equally useful as a reference for the practitioner and as a text, Introductory Applied Quantum and Statistical Mechanics introduces the reader to the fundamental concepts of quantum physics and their applications to electrical engineering, applied physics, and materials science.
	www.mysqlwebhosting.biz /stuff-0471202762.html (405 words)

	On Going Past Statistical Quantum Mechanics - Ravi Gomatam (Site not responding. Last check: 2007-10-20)
		Like any statistical theory, statistical quantum mechanics or SQM (the ψ function plus the Schrцdinger equation, interpreted via Born’s rule) is also silent about the individual outcome.
		Classical statistical predictions (concerning such events as coin tosses) are at least compatible with a causal explanation of the occurrence of the individual event via the assumption of determinism, even if we cannot causally predict the occurrence of the individual event in practice.
		Quantum indeterminism ultimately prevails at the level of individual observation, and thus it is widely felt that our understanding of the physical meaning of QT is still incomplete.
	www.bvinst.edu /gomatam/pub-2003-02.htm (856 words)

	Directory - Science: Physics: Mathematical Physics: Statistical Mechanics: Quantum (Site not responding. Last check: 2007-10-20)
		This category includes the aspects of statistical mechanics that are derived from the use of quantum mechanical concepts, such as Fermi-Dirac statistics.
		Principles of Quantum Statistical Mechanics · cached · A set of HTML lecture notes by Mark Tuckerman deducing the principles involving the use of the density operator.
		Quantum Statistical Mechanics · cached · A set of lectures on Fermi-Dirac, Bose-Einstein, and Photon distributions in quantum mechanics.
	www.incywincy.com /default?p=800635 (146 words)

	Quantum Statistical Mechanics forbids any EPR instantaneous information transfer
		This appendix reminds the quantum statistical calculations that prove this impossibility so as to better emphasize that this conclusion relies on the assumption of a fundamental indeterminacy of quantum measurements.
		The statistical quantum physics model (resting on density operator) of the decoherence process stemming from measurements A1 of systems S1 confirms the impossibility (for observer of S2) to know if this decoherence has happened whatever the measurements A2 of systems S2 subsequent to measurements A1.
		So, according to quantum statistics formalism, statistically, an ensemble of observations A1 of systems S1 prior to an ensemble of observations A2 of systems S2 isn't up to disturb the statistical distribution of probabilities pk2 of outcomes ak2 of observable A2 of systems S2.
	perso.wanadoo.fr /lebigbang/no_communication.htm (1173 words)

	Quantum statistical mechanics -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-20)
		Quantum statistical mechanics is the study of (Click link for more info and facts about statistical ensemble) statistical ensembles of (Click link for more info and facts about quantum mechanical systems) quantum mechanical systems.
		A statistical ensemble is described by a (Click link for more info and facts about density operator) density operator S, which is a non-negative, self-adjoint, trace-class operator of trace 1 on the (A metric space that is linear and complete and (usually) infinite-dimensional) Hilbert space H describing the quantum system.
		This can be shown under various (Click link for more info and facts about mathematical formalisms for quantum mechanics) mathematical formalisms for quantum mechanics.
	www.absoluteastronomy.com /encyclopedia/q/qu/quantum_statistical_mechanics.htm (697 words)

	Science: Physics: Modern: Quantum Mechanics - Open Site
		On the one hand the quantum theory of light cannot be considered satisfactory since it defines the energy of a light particle (photon) by the equation E=hf containing the frequency f.
		Quantum theory is essentially founded on the experimental observations of frequency and wavelength for both light and matter.
		Albert Einstein agreed in part with this probability wave interpretation of Quantum Theory, as he believed in continuous force fields (not in waves or particles) thus to him it was sensible that the waves were not real, and were mere descriptions of probabilities.
	open-site.org /Science/Physics/Modern/Quantum_Mechanics (3645 words)

	QFT Uni Göttingen
		Quantum physics in curved space-time: extension of quantum field theory by inclusion of gravity.
		In view of the quantum equivalence of certain (gauge) theories which are classically distinct theories it may be asked whether the standard interpretation (with the help of gauge theories) of the inner structure of hadronic matter (quarks, gluons, colour) is free of arbitrariness.
		Quantum field theory, on the other hand, describes quantized fields (such as the electromagnetic field) and is the formalism underlying our current understanding of elementary particles.
	www.theorie.physik.uni-goettingen.de /forschung/qft/research/index.en.html (1247 words)

	Amazon.com: Books: Quantum Mechanics (Physics) (Site not responding. Last check: 2007-10-20)
		Chapter 4 is an overview of the statistical interpretation of quantum mechanics.
		His treatment of pure states and mixtures, namely that of quantum statistical mechanics is too short and could be excluded without detracting from the main points in these chapters.
		Any textbook on quantum mechanics at this level in the 21st century should include a very detailed introduction to numerical methods so as to prepare the student early on to techniques that will be used more and more in the decades ahead.
	www.amazon.com /exec/obidos/tg/detail/-/0486409244?v=glance (2362 words)

	Quantum statistical mechanics (Site not responding. Last check: 2007-10-20)
		In classical statistical mechanics the observable takes a precise value for each microstate, since a microstate essentially corresponds to a fixed spatial and momentum configuration of the system.
		6.4 it is clear that whereas in classical statistical mechanics one only performs one type of averaging, in the quantum mechanical case one must perform two sorts of averaging.
		This first averaging, the quantum mechanical expectation, is not something which one performs due to our ignorance of the constituent system, but it is something we have to do because of the inherent quantumness of systems.
	www.ph.ed.ac.uk /~arjun/arjun_thesis/node81.html (887 words)

	Sketching the History of Statistical Mechanics and Thermodynamics (Site not responding. Last check: 2007-10-20)
		Boltzmann formulates a statistical mechanical version of the second law of thermodynamics in the paper, "On the Relation Between the Second Law of the Mechanical Theory of Heat and the Probability Calculus with Respect to the Theorems on Thermal Equilibrium".
		Gibbs publishes Elementary Principles in Statistical Mechanics, his treatise on the subject, deriving common thermodynamic properties from particle statistics, giving his full account of ensemble theory and their relationships (including the so-called "Gibbs paradox," though there was nothing paradoxical about it at the time).
		Einstein publishes a paper on the photoelectric effect, basing his analysis on an analog of the statistical mechanical approach for classical electromagnetic fields modelled as quanta of light.
	history.hyperjeff.net /statmech.html (6799 words)

	Physics 117 - Statistical Mechanics (Site not responding. Last check: 2007-10-20)
		In it we explore the mechanical basis for temperature and entropy, learn why heat flows from hot to cold, why the nozzle of the propane dispenser gets freezing cold on a hot day, why ice shatters boulders, and why there is an arrow of time.
		Our approach to statistical mechanics and thermodynamics includes both classical and quantum mechanical views of physical systems and begins with the basic concepts of probability and statistics.
		The course includes the statistics of the microcanonical, canonical, and grand canonical ensembles; the relation between classical and quantum statistical mechanics; the Planck distribution, bosons, fermions, and doped semiconductors, among others; and an introduction to kinetic theory.
	kossi.physics.hmc.edu /courses/p117 (315 words)

	FRACTIONAL STATISTICS AND QUANTUM THEORY (Site not responding. Last check: 2007-10-20)
		This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory.
		The discussion is at a pedagogical level and is addressed to both graduate students and advanced research workers with a reasonable background in quantum and statistical mechanics.
		Topics in the first part of the book includes the flux tube model of anyons, the braid group and quantum and statistical mechanics of noninteracting anyon gas.
	www.worldscibooks.com /physics/2988.htm (227 words)

	sciforums.com - Relativistic Quantum Statistical mechanics (Site not responding. Last check: 2007-10-20)
		For example, classical statistical mechanics states that the avegahe kinetic energy of particles in a system is
		In the quantum case, the integral is changed to a sum over discrete energy levels.
		Since quantum mechanically we have either bosons or fermions, the dependance on temperature is different for the 2 classes of particles, fermions having a Fermi-Dirac distribution, Bosons having a Bose-Einstein distribution.
	www.sciforums.com /printthread.php?t=22048 (402 words)

	Quantum Information Dynamics
		In quantum information dynamics (1,3,7), we are trying to understand the basic principles of quantum Information Theory and its application to processes involving the interaction of qubits: the quantum carriers of information.
		Subsequently, we showed how the quantum mutual entropy (the "mutual entanglement") is at the heart of a natural definition of the von Neumann capacity of noisy quantum channels (6).
		Quantum information theory is a statistical theory of information, and as such can be useful to examine non-equilibrium processes in quantum statistical mechanics.
	www.krl.caltech.edu /~adami/quantum.html (548 words)

	Open Directory - Science: Physics: Mathematical Physics: Statistical Mechanics: Quantum (Site not responding. Last check: 2007-10-20)
		Dedekind Zeta Functions and Quantum Statistical Mechanics - A paper by Paula Cohen showing a surprising relationship between the Dedekind zeta function of a number field and a C*-dynamical system.
		Principles of Quantum Statistical Mechanics - A set of HTML lecture notes by Mark Tuckerman deducing the principles involving the use of the density operator.
		Quantum Statistical Mechanics - A set of lectures on Fermi-Dirac, Bose-Einstein, and Photon distributions in quantum mechanics.
	dmoz.org /Science/Physics/Mathematical_Physics/Statistical_Mechanics/Quantum (156 words)

	Citebase - Quantum Statistical Mechanics of Nonrelativistic Membranes: Crumpling Transition at Finite Temperature
		Quantum Statistical Mechanics of Nonrelativistic Membranes: Crumpling Transition at Finite Temperature
		Authors: Borelli, M. Kleinert, H. Schakel, Adriaan M. The effect of quantum fluctuations on a nearly flat, nonrelativistic two-dimensional membrane with extrinsic curvature stiffness and tension is investigated.
		In contrast to thermal fluctuations, which soften the membrane at large scales and turn it into a crumpled surface, quantum fluctuations are found to {\em stiffen} the membrane, so that it exhibits a Hausdorff dimension equal to two.
	citebase.eprints.org /cgi-bin/citations?archiveID=oai:arXiv.org:cond-mat/9905241 (1167 words)

	Open Directory - Science: Physics: Quantum Mechanics (Site not responding. Last check: 2007-10-20)
		Intro to Quantum Mechanics - This page is intended to give an ordinary person a brief overview of the importance and wonder of quantum mechanics.
		Student Understanding of Quantum Mechanics - A set of lectures and reports outlining methods of teaching introductory quantum mechanics to a wide range of students.
		Topics in Modern Quantum Optics - This is the written version of lectures presented at the 17th Symposium on Theoretical Physics covering various topics in quantum optics.
	dmoz.org /Science/Physics/Quantum_Mechanics (734 words)

	Question about quantum statistical mechanics and thermodynamic arrow - Physics Help and Math Help - Physics Forums (Site not responding. Last check: 2007-10-20)
		The\nevolution of the system\'s quantum state between measurements is\ndeterministic, but each time you make a measurement the system is\nprojected onto an eigenstate of the measurement operator in a\nprobabalistic way.
		Also, since you may not necessarily know the system\'s\nexact quantum state, you represent it as being in a mixed state, using a\ndensity matrix that assigns different probabilities to different quantum\nstates.\n\nSo one question I have is, what is the quantum equivalent of picking a\npoint randomly from the entire phase space?
		If a quantum system is obeying\ntime-reversible laws, presumably that means if you have some initial\nquantum state psi-A which after time t evolves to the state psi-B, then\nyou can do something analogous to reversing all the momenta to get a\nstate psi-B\' which after time t evolves to the state psi-A\'.
	www.physicsforums.com /showthread.php?t=59111 (2625 words)

	On the Feynman path centroid density as a phase space distribution in quantum statistical mechanics (Site not responding. Last check: 2007-10-20)
		The phase space formulation of quantum statistical mechanics using the Feynman path centroid density offers an alternative perspective to the standard Wigner prescription for the classical-like evaluation of equilibrium and/or dynamical quantities of statistical systems.
		The use of this formulation has been implicit in recent work on quantum rate theories, for example, in which the centroid density distribution replaces the classical Boltzmann distribution.
		Though we fall short of finding the algebraic structure tantamount to that found in the Weyl symbols - of which the Wigner distribution is an example - the resulting expressions have internal consistency and are amenable to approximate evaluation through cumulant expansions.
	www.chemistry.gatech.edu /rig/pubs/p8-1/p8-1.html (197 words)

	Mathematical Theory of Non-Equilibrium Quantum Statistical Mechanics (ResearchIndex) (Site not responding. Last check: 2007-10-20)
		In the algebraic formalism of quantum statistical mechanics we introduce notions of non-equilibrium steady states, entropy production and heat fluxes, and study their properties.
		51 Statistical Mechanics of Lattice Gases (context) - Simon - 1993
		5 the adiabatic theorem in quantum statistical mechanics (context) - Narnhofer, Thirring - 1982
	citeseer.ist.psu.edu /620574.html (825 words)

	KCL Statistical Mechanics and Quantum Probability Group (Site not responding. Last check: 2007-10-20)
		Many-particle classical and quantum systems, or small systems interacting with such large systems, are studied using the methods of equilibrium statistical mechanics (David Lavis), scaling limits (Larry Landau)
		The standard methods of equilibrium statistical mechanics are used to study phase transitions in lattice spin models, the computer package Maple being used to reduce the transfer matrix to block diagonal form.
		The time-evolution of a free quantum particle on a lattice is described by Bessel functions and a detailed study has yielded new monotonicity properties and precise bounds: Bessel Functions: Monotonicity and Bounds, to be published.
	www.mth.kcl.ac.uk /research/statphys (315 words)

	Lectures
		Lecture 13 -- Basic principles of quantum statistical mechanics
		Lecture 14 -- The path integral formulation of quantum statistical mechanics
		Lecture 18 -- The quantum ideal gases -- general formulation
	www.nyu.edu /classes/tuckerman/stat.mech/lectures.html (240 words)

	Quantum Statistical Mechanics of Nonrelativistic Membranes: Crumpling Transition at Finite Temperature (Site not responding. Last check: 2007-10-20)
		The effect of quantum fluctuations on a nearly flat, nonrelativistic membrane with extrinsic curvature stiffness and tension is investigated.
		In contrast to thermal fluctuations, which soften the membrane at large scales and turn it into a crumpled surface, quantum fluctuations are found to stiffen the membrane, so that it maintains its two-dimensional character with Hausdorff dimension equal to two.
		The large-scale behavior of the two-dimensional membrane is further studied at finite temperature, where a nontrivial fixed point is found, signaling a crumpling transition.
	www.physik.fu-berlin.de /~kleinert/kleiner_re284/284.html (129 words)

Try your search on: Qwika (all wikis)