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Topic: Creation operator

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Annihilation operator

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	Creation and annihilation operators - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-09-11)
		A creation operator is an operator that increases the number of particles in a given state by one, and it is the adjoint of the annihilation operator.
		The mathematics behind the creation and the annihilation operators is identical as the formulae for ladder operators that appear in the quantum harmonic oscillator.
		(f) is the creation operator, and a(f) is the annihilation operator.
	en.wikipedia.org /wiki/Annihilation_operator (1299 words)

	Yazılım Geliştirme (Site not responding. Last check: 2007-09-11)
		When the left operand of the operator is of a signed integral type, the operator performs an arithmetic shift right wherein the value of the most significant bit (the sign bit) of the operand is propagated to the high-order empty bit positions.
		The result of the operation e is T, where e is an expression and T is a type, is a Boolean value indicating whether e can successfully be converted to type T by a reference conversion, a boxing conversion, or an unboxing conversion.
		In an operation of the form e as T, e shall be an expression and T shall be a reference type or a type parameter that is known to be a reference type (§25.7).
	www.argelab.net /xml_forum.html (19122 words)

	Creation - Wikipedia, the free encyclopedia
		In particle physics, creation is the opposite of annihilation.
		Creation (mythology), from the original Sumerian mythology, Chaldean mythology or Mesopotamian mythology of the Abrahamic religion cultural foundations.
		The Creation of Adam, a fresco from circa 1511 on the Sistine Chapel ceiling painted by Michelangelo Buonarroti
	en.wikipedia.org /wiki/Creation (390 words)

	Automatic Path Creation Service - APC
		Operators are created dynamically and destroyed once after their use.
		It is also reponsible for creating and maintaining connections from or to the operators running on the node where the connection manager resides.
		Operators are created on demand for each new path instantiated and destroyed after the path is requested to be torn down.
	iceberg.cs.berkeley.edu /release/APC.html (2021 words)

	Operator Creation Guidelines
		Although the creation of operators is normally reduced to implementing one single method there are some rules to follow if a user may wish to view and use his operators in the GUI.
		For instance the mutation propability is an attribute of a mutator.
		There are three properties that are essentially important for operators in algorithms: the inputsize, the outputsize and the datatype.
	www.evolvica.org /manual/developer/guide.html (452 words)

	Creation operator for the generalized Hermite polynomials
		are important in the study of random processes; here we show a creation operator for these polynomials.
		which leads to Dirac’s ladder operator for the mentioned quantum oscillator, permitting thus the use of algebraic techniques in the analysis of the corresponding physical system.
		The quasi-moment functions [6] are the coefficients in an expansion of the multidimensional probability density in an infinite series of generalized Hermite polynomials.
	www.wbabin.net /bonilla/hermite.htm (287 words)

	ccdoc Operator node.hh:95:class
		The operator class, a Node subclass, is a generalized Node extended to perform operations on other nodes.
		Operators have two additional responsibilities as well: they must return a precedence (to tell the parser the proper order of operators) and a description (usually corresponding to the algebraic representation of the operator).
		Each operator is free to modify the stack as it wishes (the definition of an operator), allowing postfix, prefix, unary, binary, multi-argument, indefinite-argument, and many other types of operators to be implemented easily.
	www.duke.edu /~jpk2/cps108/aaa/doc/ccdoc.root.Operator.cls.html (499 words)

	Stroustrup: C++ Glossary
		bitand - synonym for &, the bitwise and operator.
		Thus ++ is the increment operation, not two additions, and long int is a single integer type rather than the long integer followed by an int.
		Built-in operators, such as + and *, are overloaded for types such as int and float.
	www.research.att.com /~bs/glossary.html (9794 words)

	Subgoal creation for operator application (Site not responding. Last check: 2007-09-11)
		Subgoal creation for operator application ========================================= The build-tower operator must be applied in a subgoal, where the individual blocks can be moved to build the tower.
		Once the build-tower operator has been selected, there are no productions to apply it directly and a no-change impasse will arise.
		Soar> watch 0 Soar> d 1 4: ==>G: G2 (operator no-change) When the subgoal is created, it has a collection of augmentations that define the type of impasse.
	www.isi.edu /soar/users-manual/html/soar6-manual.info.Subgoal_creation_for_operator_application.html (222 words)

	[No title] (Site not responding. Last check: 2007-09-11)
		Thus we obtain, upon quantization, creation and annihilation operators for particles and antiparticles in the spin states (r).
		Upon quantization, this problem persisted --- while the particles associated with the b creation and annihilation operators each contribute the positive energy \hbar \omega_k, those associated with the c creation and annihilation operators naively seem to each contribute the negative energy -\hbar \omega_k.
		This made the number operators for the c-type particles (that is, the antiparticles) appear in the Hamiltonian with positive sign.
	www.emory.edu /PHYSICS/Faculty/Benson/380-96/notes/34.txt (709 words)

	Operator Creation (Site not responding. Last check: 2007-09-11)
		Before starting to write your own operators it is strongly recommended to take a look at the sources of the examples.
		Information about an operator is attached to the descriptor of the operator.
		Evolvica creates instances of operators dynamically so there MUST be a constructor that is public and does not take any parameters.
	www.evolvica.org /manual/developer/operator.html (277 words)

	[No title]
		There are annihilation and creation operators a and a* which push us up and down this ladder of states.
		In these terms, the creation operator a* is just multiplication by x, while the annihilation operator a is differentiation.
		Now let's invent a creation operation A* on structure types that reduces to the usual creation operator a* when we take their generating functions.
	math.ucr.edu /home/baez/twf_ascii/week185 (3446 words)

	More on Quantum Field Theory
		These creation and annihilation operators are very similar to those defined for the quantum harmonic oscillator, which added and subtracted energy quanta.
		In fact, the answer is yes: they are operators acting on a kind of expanded Hilbert space, known as a Fock space, composed of the space of a system with no particles (the so-called vacuum state), plus the space of a 1-particle system, plus the space of a 2-particle system, and so forth.
		One may notice from this that applying a fermionic creation operator twice gives zero, so it is impossible for the particles to share single-particle states, in accordance with the exclusion principle.
	www.artilifes.com /quantum-field-theory.htm (2564 words)

	A Peculiarity of the Creation Operator - Stochel, Szafraniec (ResearchIndex)
		A Peculiarity of the Creation Operator - Stochel, Szafraniec (ResearchIndex)
		Abstract: It is shown that the creation operator is the only (up to a multiplicative constant) injective weighted shift whose all translations (or at least one) are still injective weighted shifts regardless what the weight sequences and the bases are.
		the creation operator of the quantum harmonic oscillator (its counterpart, the annihilation one as well) is characterized through its (spatial) tranlational invariance property.
	citeseer.ist.psu.edu /511476.html (514 words)

	Newsgroup Creation :: Usenet
		Here are simple instructions how to create a new newsgroup in the free.uk.* hierarchy and a list of newsservers which carry the free.uk.* groups.
		How to Format and Submit a New Group Proposal - For those who are preparing to propose the creation or reorganization of a group in the comp, humanities, misc, news, rec, sci, soc, or talk hierarchies (known collectively as the Big Eight).
		The Big Eight Newsgroup Creation Process - Documents the process to create, rename, remove, or change the moderation status of newsgroups in the Big Eight hierarchies.
	computers.gourt.com /Usenet/Newsgroup-Creation.html (398 words)

	No Title
		So the Fock space -- again spanned by energy eigenstates -- again contains a vacuum with no particles, which is annihilated by all the annihilation operators, as well as states with particles and antiparticles in them, obtained mathematically by operating on the vacuum with various creation operators.
		However, a major difference from the Fock space of bosons arises when we try to apply the creation operator for a single state twice, to doubly occupy a single particle or antiparticle state.
		Since the creation operator anticommutes with itself, its square must be zero: that is, applying the creation operator twice to the vacuum always annihilates it.
	www.emory.edu /PHYSICS/Faculty/Benson/380-96/notes/34/34.html (664 words)

	hole spin (Site not responding. Last check: 2007-09-11)
		Formally,\ncreation operators and annihilation operators for fermions are\nsymmetrical.
		creation operators and annihilation operators for fermions are
		operating on it in sequence by 1e23 creation operators.
	www.physicsforums.com /showthread.php?t=75203 (4825 words)

	Explicit expression for the spinon-creation operator in 1D Antiferromagnets, and its correlators. (Site not responding. Last check: 2007-09-11)
		Explicit expression for the spinon-creation operator in 1D Antiferromagnets, and its correlators.
		We propose a definition for a creation operator for the spinon, the fractional statistics elementary excitation of the Haldane-Shastry model, and give numerical and analytical evidence that our operator creates a single spinon with nearly unit amplitude in the ISE model.
		We then discuss how the operator is useful in more general contexts such as studying the underlying spinons of other spin chain models (Heisenberg and XY) and of the one dimensional Hubbard model.
	flux.aps.org /meetings/YR97/BAPSMAR97/abs/S5420006.html (141 words)

	NormalOrdering.m (Site not responding. Last check: 2007-09-11)
		The operators p and q are Hermitian and their commutator [q,p] equals i hbar.
		The commutator of the creation and annihilation operators equals 1.
		Apart from these two operators the expression may also conatin coefficients, plus and minus signs, powers, brackets and double stars, that is the built-in operator for non-commutative multiplication.
	home.datacomm.ch /atair/physics/no (192 words)

	Wick's Theorem for the Evaluation of Matrix Elements (Site not responding. Last check: 2007-09-11)
		[2.19], [2.20], and [2.21], an arbitrary string of annihilation and creation operators can be written as a linear combination of normal-ordered strings (most of which contain reduced numbers of operators) multiplied by Kronecker delta functions.
		The final combination where A is an annihilation operator and B is a creation operator is not zero, however, due to the anticommutation relations in Eq.
		The composite string of annihilation and creation operators may then be rewritten using Wick's theorem as an expansion of normal-ordered strings.
	zopyros.ccqc.uga.edu /lec_top/cc/html/node13.html (808 words)

	Cluster Functions and the Exponential Ansatz (Site not responding. Last check: 2007-09-11)
		A given Slater determinant may be written as a chain of creation operators acting on the true vacuum (a state containing no electrons or orbitals), i.e.,
		[2.22] and [2.23] are restricted to act only on the virtual orbitals, and the annihilation operators may act only on the occupied orbitals.
		[2.19] and [2.20], all of the creation and annihilation operators in
	zopyros.ccqc.uga.edu /lec_top/cc/html/node4.html (681 words)

	daratechPLANT2004 :: Article
		Whether it be in oil and gas, chemical, power, or pharmaceutical industry, issues of data migration, operations and maintenance integration, and data hand-off continue to vex even the most forward thinking corporations.
		Consequently, it is often the case that the plant was created in one version of software and the update is created in another version or another system entirely, depending on what tool the EPC might have used.
		While plant creation software sales to EPCs continue to make up the majority of plant creation spending, the portion of sales to owner/operators has nearly doubled since 1998, going from approximately 22% then to 39% of total spending in 2003.
	www.daratech.com /plant2004/article2.html (1338 words)

	Creation and Annihilation Operators
		(4) goes onto say that we cannot create two particles of the same colour in the same box.
		The anticommutation relations are a direct consequence of this constraint that we are going to work with.
		These operators, operate on configurations, which we have constructed in Section (2).
	physics.unipune.ernet.in /~nandy/module/node3.html (169 words)

	II. TRUNCATED CREATION & ANNIHILATION OPERATORS
		This is the analog of a proper pseudopolar decomposition for the creation annihilation pair.
		The existence of a genuine "phase operator", the lost (in QM) conjugate to the number operator, that would be used to construct a time operator for the harmonic oscillator is recaptured.
		The fact that the various decompositions (2.15), (2.17), (2.18) and (2.21) exist may be of physical significance in distinguishing a transient process passing through a spacetime patch from a captured or cyclic process that is confined to the patch.
	graham.main.nc.us /~bhammel/FCCR/II.html (2141 words)

	Normal Ordering Of Quantum Operators -- from Mathematica Information Center
		NormalOrdering.m normal orders a polynomial in creation and annihilation operators using the commutation relation.
		In normal ordering the annihilation operators are to the right of the creation operators.
		This program can normal order an expression of creation (denoted by 'c') and annihilation (denoted by 'a') operators.
	library.wolfram.com /infocenter/MathSource/625 (100 words)

	The Fermi Vacuum and the Particle-Hole Formalism (Site not responding. Last check: 2007-09-11)
		This nomenclature is based upon the determinant produced when annihilation-creation operator strings act on the Fermi vacuum.
		Therefore, a string of second-quantized operators is normal ordered relative to the Fermi vacuum if all q-annihilation operators lie to the right of all q-creation operators.
		Whereas before, the only nonzero pairwise contraction required the annihilation operator to be to the left of the creation operator (cf.
	zopyros.ccqc.uga.edu /lec_top/cc/html/node14.html (343 words)

	Index Creation Operator: : (Site not responding. Last check: 2007-09-11)
		The index creation operator (:) creates a row vector with a first element that is value1.
		The second element is value1+1, and so on, as long as the elements are less than or equal to value2.
		The index creation operator also works on character arguments with a numeric suffix.
	www.asu.edu /sas/sasdoc/sashtml/iml/chap17/sect11.htm (130 words)

	Jaynes-Cummings Hamiltonian - Qwiki
		is the atomic raising operator, and are Pauli matrices.
		The first term in the J-C Hamiltonian creates a photon, and puts the atom in the ground state, and corresponds to emission.
		The Jaynes-Cummings model (that is, the Hamiltonian shown above, possibly generalized to include a detuning term, but without the counterrotating terms) is exactly solvable, and arguably the simplest exactly solvable, nontrivial system in quantum optics.
	qwiki.caltech.edu /wiki/Jaynes-Cummings_Hamiltonian (410 words)

	Re: notation for creation/annihilation operators (Site not responding. Last check: 2007-09-11)
		There is no International Council for the Correct Use of Symbols in Mathematical Equations and you won't go to jail if you denote a creation operator without a dagger.
		However, there are certain conventions that should be followed, one of these is to write the creation operators with a dagger.
		The Caltech page gives the commutator of a and a^\dagger to be 1, so a is the annihilator and a^\dagger is the creator, as demonstrated a bit further down on the page.
	www.lns.cornell.edu /spr/2003-02/msg0048183.html (208 words)

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