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Topic: Correlation function quantum field theory

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Correlation function (astronomy)

	Quantum Physics
		If the wave function collapses when the observation takes place, then he should describe the cat with a quantum state as well, in which the cat is part alive and desperately trying to get out of the box before the cyanide gets him, and part dead and lying in a heap on the floor.
		Quantum mechanics predicts that the choice of the axis for the first measurement of spin will alter the results of measurement of spin of the second particle, in a manner which is not consistent with the notion that the two particles have separated and become independent.
		Quantum mechanics seems to contradict the idea that, prior to measurement, a particle is a point-like object with an unknown position, and appears to say that the particle is actually a wave spread over space.
	www.kheper.net /cosmos/quantum_physics/quantum_physics.htm (3060 words)

	Correlation function - Wikipedia, the free encyclopedia
		For stochastic processes, including those that arise in statistical mechanics and Euclidean quantum field theory, a correlation function is the correlation between random variables at two different points in space or time.
		Correlation functions used in astronomy, financial analysis, quantum field theory and statistical mechanics differ only in the particular stochastic processes they are applied to.
		A quantum field theory is called renormalizable if this mapping has a fixed point which gives a quantum field theory.
	www.wikipedia.org /wiki/Correlation_function (558 words)

	Correlation function (quantum field theory) - Wikipedia, the free encyclopedia
		In quantum field theory, correlation functions generalize the concept of correlation functions in statistics.
		In the quantum mechanical context they are computed as the matrix element of a product of operators inserted between two vectors, usually the vacuum states.
		Depending on n (the number of inserted operators), the correlation functions are called one-point function (tadpole), two-point function, and so on.
	en.wikipedia.org /wiki/Correlation_function_(quantum_field_theory) (130 words)

	Quantum Consciousness
		According to conventional quantum theory (as part of the standard "Copenhagen interpretation"), each choice of eigenstate is entirely random, weighted according to a probability value that can be calculated from the previous state according to the precise procedures of quantum formalism.
		Quantum coherence occurs among tubulins in MTs, pumped by thermal and biochemical energies (perhaps in the manner proposed by Frohlich, 1968; 1970; 1975).
		Feasibility of quantum coherence in the seemingly noisy, chaotic cell environment is supported by the observation that quantum spins from biochemical radical pairs which become separated retain their correlation in cytoplasm (Walleczek, 1995).
	www.quantumconsciousness.org /penrose-hameroff/consciousevents.html (7391 words)

	Untitled (Site not responding. Last check: 2007-11-01)
		The quantum theory of the frequency and wave-number-dependent dielectric response on the microscopic level is presented.
		The theory is predicated on the nonlocal susceptibility theory, and asserts that the time-dependent external electromagnetic field has a most general form, i.e.
		We demonstrate that the current-current density correlation function and the charge density are the key parameters for such evaluations.
	www.msu.edu /user/spirinao/abst012.html (232 words)

	Bohmian Mechanics
		This demonstrates that all claims to the effect that the predictions of quantum theory are incompatible with the existence of hidden variables, with an underlying deterministic model in which quantum randomness arises from averaging over ignorance, are wrong.
		The quantum potential suggests, and indeed it has often been stated, that in order to transform Schrödinger's equation into a theory that can, in what are often called "realistic" terms, account for quantum phenomena, many of which are dramatically nonlocal, we must add to the theory a complicated quantum potential of a grossly nonlocal character.
		Since quantum theory itself, by virtue merely of the character of its predictions concerning EPR-Bohm correlations, is irreducibly nonlocal (see Section 2), one might expect considerable difficulty with the Lorentz invariance of orthodox quantum theory as well with Bohmian mechanics.
	plato.stanford.edu /entries/qm-bohm (10692 words)

	Quantum Field Theory in Condensed Matter Physics: Current Amazon U.S.A. One-Edition Data
		Quantum field theory has been applied to many different areas of physics, and has done a fairly good job of explaining the phenomena in these areas.
		Quantum field theory has yet to be put on a rigorous mathematical foundation, but this has not deterred its use in a myriad of applications, with condensed matter physics, the subject of this book, being one of them.
		Explicit calculations are done for a bosonic field in an external field using the now ubiquitous mathematical identity that "the determinant of an operator is the exponential of the trace of the logarithm of the operator.
	www.ferretexpert.info /stuff-052182284X.html (1432 words)

	Dialog with the Bogdanovs (Part 3)
		Now, the correspondance between observables and homology cycles is defined by a cohomological field such that a correlation function of n physical observables can be interpreted as the number of intersections of n cycles of homology in moduli space of configurations of the instanton type on the fields f of the theory.
		More precisely, the correlation function of the observables is a function of the homology cycles H i defined on the moduli space of the 4 dim.
		The physical content of the theory is given by quantum field theory (whose underlying metric is lorentzian) whereas the topological content of the theory is described by topologcial field theory.
	math.ucr.edu /home/baez/bogdanoff/bog3.html (714 words)

	List of Projects
		A quantum phase transition (QPT) occurs at zero temperature as a single parameter of a Hamiltonian passes through a critical value, and there is a qualitative change in the nature of the ground state of the system [1].
		This project is to investigate a novel type of quantum electrodynamic Lagrangian formulation which implements an explicit dual symmetry (interchange of E and B fields) at the level of the Lagrangian action principal and Hamiltonian.
		Quantum dynamics simulation methods for interacting bosons in a large Hilbert space are being implemented using a sampled Hermitean density operator method, whose dynamics is over-complete, and depends on a set of arbitrary stochastic gauge fields.
	www.physics.uq.edu.au /BEC/PhD_projects.html (3161 words)

	Statistical mechanics: the Riemann zeta function interpreted as a partition function
		One of the earliest, and perhaps most significant, examples of number theory influencing the development of physics was the application of Pólya's work on the Riemann zeta function to the theory of phase transitions by Lee and Yang in the early 1950's.
		In the theory of the distribution of primes, the fundamental object is the Riemann zeta function.
		The probability distributions of the quantum fluctuations of the grand potential and entropy of the gas are computed as a function of temperature and compared, with good agreement, with general predictions obtained from random matrix theory and periodic orbit theory (based on prime numbers).
	www.maths.ex.ac.uk /~mwatkins/zeta/physics2.htm (6942 words)

	Professor Stephen Hawking
		So what the singularity theorems are really telling us, is that the universe had a quantum origin, and that we need a theory of quantum cosmology, if we are to predict the present state of the universe.
		Instead, the fundamental theory was claimed to be super strings, which were thought to be finite to all loops.
		In gauge theories, one can often use duality, to relate a strongly coupled theory, where perturbation theory is bad, to a weakly coupled one, in which it is good.
	www.hawking.org.uk /lectures/quantum.html (4524 words)

	D-Theory
		Quantum correlation and classical correlation differs because of the structure of space.
		The eccentricity of an elliptic wave function describes the properties of a relative motion and it is used to derive the three invariance equations.
		The curled sourceless “pseudo fields”, as the magnetic field and the electromotive force, prove to be projections of a flux vector parallel to 4.D on the 3D-surface of the four-dimensional hyperoctahedron.
	koti.mbnet.fi /mpelt/tekstit/dtheory.htm (1324 words)

	Quantum signature of the classical chaos in the field-induced barrier crossing in a quartic potential*
		In the present work, we apply QTM in analysing the quantum analogue of the classical domain chaotic dynamics associated with the penetration of a barrier in a double-well potential in the presence of a monochromatic external field with increasing amplitude.
		To summarize, important insights into the quantum manifestations of the classical regular and chaotic motions of a double-well oscillator in the presence of an external field with different amplitudes have been obtained in terms of the corresponding Bohmian trajectories.
		Two quantum systems which exhibit regular and chaotic motions respectively in the classical domain can be differentiated with the help of the quantum theory of motion.
	www.ias.ac.in /currsci/may25/articles28.htm (2404 words)

	Fermion condensate - Wikipedia, the free encyclopedia
		The BCS theory of superconductivity has a fermion condensate.
		In Quantum chromodynamics (QCD) the chiral condensate is also called the quark condensate.
		This is very similar to the BCS theory of superconductivity.
	www.wikipedia.org /wiki/Fermion_condensate (345 words)

	Evolutionary Quantum Computation
		Abstract: An evolutionary quantum computer (EQC) is a physical system that maintains an internal ensemble of macroscopic "quantum subsystems" manifesting significant quantum indeterminacy, with the property that the ensemble of quantum subsystems is continually changing in such a way as to optimize some measure of the emergent patterns between the system and its environment.
		A quantum system exists in a probabilistic superposition of states rather than a single definite state; in the many-universes interpretation, a quantum system is thought of as existing in a number of parallel universes, one for each possible state.
		The equations of quantum theory tell us that all subjective views are in a sense "equivalent" -- but they are not equivalent to the "objective" or intersubjective universe, which is the collection of all possible subjective views, and is therefore a probability distribution rather than a definite entity.
	goertzel.org /dynapsyc/1997/Qc.html (5674 words)

	UC Davis Math: Glossary (Site not responding. Last check: 2007-11-01)
		Given a vector space of functions of a parameter or functions on a manifold, an operator may have a kernel or matrix whose rows and columns are indexed by the parameter or by points on the manifold.
		As a space, a quantum group is defined by non-commuting operators which are analogous to coordinates on a Lie group in the same way that non-commuting operators represent measurable quantities in quantum mechanics.
		An algebraic relation arising in statistical mechanics, topological quantum field theory, and quantum groups in which two tensors, one naturally represented by a right-side-up triangle and the other by an upside-down triangle, are equal.
	math.ucdavis.edu /profiles/glossary.html (9932 words)

	Quantum Field Theory A
		Weinberg, The Quantum Field Theory of Fields, Vol.
		This will allow us to introduce the classical and quantum theory of fields, the role of global and local (or gauge) symmetries, and to discuss in detail the case of Quantum Electrodynamics (QED), one of the most successful theories of modern and contemporary Physics.
		Interacting fields: correlation functions as sum of connected Feynman diagrams.
	www.physics.fsu.edu /courses/Fall03/phy5667 (983 words)

	(viii) Measurable quantities (applications to condensed matter physics)
		In [ 25 ] we compared the conductance of a quantum wire described by a theory which included unstable particles with the one obtained from a double defect system and showed that they are qualitatively the same.
		Surprisingly, when computing the conductance of a quantum wire described by ATFT [ 30 ], we obtained in some cases rational values for the filling fractions which resemble those of the famous Jain [90 ] sequence occurring in the context of the quantum Hall effect.
		The other application we studied was concerned with the question whether it is possible to generate harmonic spectra when a three dimensional laser field is coupled to a one dimensional quantum wire [ 32 ].
	www.staff.city.ac.uk /~fring/ResInt/node14.html (664 words)

	Quantum Properties of The Synergetic Universe (Site not responding. Last check: 2007-11-01)
		The probability function for the particle aspect manifestation would be expressed in the synergetic model on the basis of an entirely different approach to the meaning and significance of geometry.
		An intrinsic unity exists between the "field" of the oscillating IVM and what may be perceived as a "particle" or singularities within that field.
		We are, in a sense, "ontologizing the wave function" as is also done in a number of other approaches to quantum theory, but it is not expressed in mathematical language which tacitly presumes it to possess some kind of objective reality, independent of consciousness.
	www.roguejitterbug.com /su/Quantum.htm (949 words)

	[No title]
		I am mainly interested in the study of non compact conformal field theory and its relation with the description of the dynamic of string theory on curved manifolds.
		Also in relation with the Wakimoto's free field description, we studied the feasibility of the analytic continuation of the functional form of primary fields correlation function in terms of non-rational values of SL(2)-isospin; we studied the relation existing between two different screening charges in the Coulomb-gas like prescription.
		The unitarity of the theory was extensively discussed taking into account the application to represent the spectrum of string theory; in the last years the relevance of the flowed sectors in order to describe winding states was pointed out by Maldacena and Ooguri.
	www.df.uba.ar /users/gaston/gaston_a.html (2625 words)

	Quantum Consciousness
		Unlike the random, "subjective reduction"(SR, or R) of standard quantum theory caused by observation or environmental entanglement, the OR we propose in microtubules is a self-collapse and it results in particular patterns of microtubule-tubulin conformational states that regulate neuronal activities including synaptic functions.
		When two quantum systems have interacted, their wave functions become "phase entangled"so that when one system's wave function is collapsed, the other system’s wave function, no matter how far away, instantly collapses as well.
		According to the conventional Copenhagen interpretation of quantum theory, the "choice"of eigenstate is purely random.
	www.quantumconsciousness.org /penrose-hameroff/orchOR.html (9133 words)

	quantum
		Because quantum theory is not the primary concern of this exercise, important themes in quantum chemistry are addressed in a broad manner.
		The discovery of the HF method was central to the field of quantum chemistry, and it forms the heart of many of the more accurate computational methods today.
		In CI, the exact wave function is represented as a linear combination of the HF ground state wave function plus excited state wave functions.
	www.engin.umich.edu /~cre/web_mod/quantum/introduction_3.htm (2189 words)

	Quantum Chemistry
		Quantum chemistry is highly mathematical in nature, and the language used to describe quantum chemical methods more often relates to equations than to chemical concepts.
		The properties of waves in a string clamped at both ends (clamped string) are analogous to some of the important basic quantum mechanical properties of atoms and molecules.
		Spin functions must be symmetric or antisymmetric with respect to the interchange of electron state assignments.
	cmm.cit.nih.gov /modeling/guide_documents/quantum_mechanics_document.html (3025 words)

	Prospective Students (Site not responding. Last check: 2007-11-01)
		Quantum Optics is the science of photon lasers, the most significant development in physics in the late twentieth century.
		A field that is at the forefront of modern physics, ultra-cold atoms have been the topic of two recent Nobel prizes in physics (1997 and 2001).
		Because dynamics and correlations can now be quantitatively studied in the laboratory, new questions are being put to these well-known models, in many cases demanding deeper theoretical understanding and new methods of solution.
	www.physics.uq.edu.au /BEC/Prospective_students.html (2334 words)

	Amazon.com: Quantum Field Theory in Condensed Matter Physics: Books: Alexei M. Tsvelik (Site not responding. Last check: 2007-11-01)
		Quantum field theory has been applied to many different areas of physics, and has done a fairly good job of explaining the phenomena in these areas.
		Quantum field theory has yet to be put on a rigorous mathematical foundation, but this has not deterred its use in a myriad of applications, with condensed matter physics, the subject of this book, being one of them.
		Explicit calculations are done for a bosonic field in an external field using the now ubiquitous mathematical identity that "the determinant of an operator is the exponential of the trace of the logarithm of the operator.
	www.amazon.com /Quantum-Theory-Condensed-Matter-Physics/dp/0521454670 (2139 words)

	Quantum Bioholography
		The DNA phantom field effect may be interpreted as a manifestation of a new physical vacuum structure which has been previously overlooked.
		Figure 2b demonstrates a typical time autocorrelation functions when a physical DNA sample is placed in the scattering chamber, and typically has the shape of an oscillatory and slowly exponentially decaying function.
		Surprisingly and counter-intuitively it turns out that the autocorrelation function measured just after the removal of the DNA from the scattering chamber looks distinctly different from the one obtained before the DNA was placed in the chamber.
	www.sgha.net /articles/quantum_holo.html (1260 words)

	4.01: PHYSICS AND MATHEMATICS -- Quantum theory
		In the Sakharov theory, gravity is from the quantum foam fluctuations in spacetime.
		Bohm showed that the Schrodinger equation and the Born probability interpretation of orthodox quantum mechanics depend upon the approximation that there is a new kind of `organic' or `wholistic' nonlocal and context dependent `quantum force' that the wave function exerts on matter in addition to the electro-weak, strong and gravitational forces.
		Quantum superposition is taken to be an example of component relational processes, at a scale of nature that is far removed from biological organisms but operating according to similar principles.
	www.qedcorp.com /pcr/pcr/41qt.html (8917 words)

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