* Canonical commutation relation, a concept in physics

* Canonical commutation relation, a concept in physics

The concept is found in all the Canonical gospels, particularly the Gospel of Matthew.

Canonical quantization of a field theory is analogous to the construction of quantum mechanics from classical mechanics.

Skrebnev, Canonical distribution and incompleteness of quantum mechanics, arXiv: 1201. 5078v1.

* Canonical quantization or vacuum expectation value, in quantum field theory

These obey an anticommutation relation:

In detail, if V is a finite-dimensional complex vector space with nondegenerate bilinear form g, the Clifford algebra is the algebra generated by V along with the anticommutation relation.

Thus a super-Poincaré algebra is a Z < sub > 2 </ sub > graded vector space with a graded Lie bracket such that the even part is a Lie algebra containing the Poincaré algebra, and the odd part is built from spinors on which there is an anticommutation relation with values in the even part.

In theoretical physics, the Bogoliubov transformation, named after Nikolay Bogolyubov, is a unitary transformation from a unitary representation of some canonical commutation relation algebra or canonical anticommutation relation algebra into another unitary representation, induced by an isomorphism of the commutation relation algebra.

For the anticommutation relation

We shall call this system supersymmetric if the following anticommutation relation is valid for all:

Beside the PDEs, the operators also satisfy another relation, the commutation / anticommutation relations.

Some philosophers deny that the concept of " being " has any meaning at all, since we only define an object's existence by its relation to other objects, and actions it undertakes.

The concept of function is defined as a special kind of binary relation.

Citizenship became an idealized, almost abstract, concept, and did not signify a submissive relation with a lord or count, but rather indicated the bond between a person and the state in the rather abstract sense of having rights and duties.

Scholars suggest that the concept of citizenship contains many unresolved issues, sometimes called tensions, existing within the relation, that continue to reflect uncertainty about what citizenship is supposed to mean.

It is in relation to the concept of the devastating awareness of meaninglessness that Albert Camus claimed that " there is only one truly serious philosophical problem, and that is suicide " in his The Myth of Sisyphus.

In this section we introduce the concept of a relation with a familiar everyday example.

A table is an accepted visual representation of a relation ; a tuple is similar to the concept of row, but note that in the database language SQL the columns and the rows of a table are ordered.

In the philosophy of language the debate has relevance for the question of the relation between language, knowledge and the external world, and the concept of truth.

His dissertation while at Harvard, small-world experiment ; would later help researchers, articulate the mechanics of social networks, and explore the mathematical relation to the degree of connectedness, most notable the six degrees of separation concept.

The optimal amount of sleep is not a meaningful concept unless the timing of that sleep is seen in relation to an individual's circadian rhythms.

Each relation type itself is a concept that is defined in the Gellish language dictionary.

This is particularly true in relation to the controversial concept of ' sustainable enterprise ' that frames global needs and risks as ' opportunities ' for private enterprise to provide profitable entrepreneurial solutions.

This can be shown using the concept of left cosets of H in G. The left cosets are the equivalence classes of a certain equivalence relation on G and therefore form a partition of G. Specifically, x and y in G are related if and only if there exists h in H such that x

A man-month is a concept of a unit of work proportional to the number of people working multiplied by the time that they work ; Brook's law says that this relation is a myth, and is hence the centerpiece of the book.

The kinetic of excitations in Yb-doped materials is simple and can be described within the concept of effective cross-sections ; for most Yb-doped laser materials ( as for many other optically pumped gain media ), the McCumber relation holds, although the application to the Yb-doped composite materials was under discussion .< ref name =" McCumberA ">< ref name =" McCumberB ">

In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication.

The concept that underlies social capital has a much longer history ; thinkers exploring the relation between associational life and democracy were using similar concepts regularly by the 19th century, drawing on the work of earlier writers such as James Madison ( The Federalist Papers ) and Alexis de Tocqueville ( Democracy in America ) to integrate concepts of social cohesion and connectedness into the pluralist tradition in American political science.

He is particularly famous for his association with the concept of the embodied mind, which he has written about in relation to mathematics.

On Mauron's concept, the author cannot be reduced to a ratiocinating self: his own more or less traumatic biographical past, the cultural archetypes that have suffused his " soul " ironically contrast with the conscious self, The chiasmic relation between the two tales may be seen as a sane and safe acting out.

Later, the sphinx image, something very similar to the original Ancient Egyptian concept, was exported into many other cultures, albeit often interpreted quite differently due to translations of descriptions of the originals and the evolution of the concept in relation to other cultural traditions.

The concept of the graph of a function is generalized to the graph of a relation.

The philosophical concept concerns a relation, specifically, a relation that x and y stand in just in case they are one and the same thing, or identical to each other ( i. e. just in case x = y ).

The Englert – Greenberger duality relation provides a detailed treatment of the mathematics of double-slit interference in the context of quantum mechanics.

Because of its close relation to the time-evolution of a system, it is of fundamental importance in most formulations of quantum theory.

One introduces a commutation relation between these which is exactly the same as the commutation relation between a particle's position and momentum in quantum mechanics.

The second shortcoming, related to the first, is that in quantum mechanics there is no mechanism to describe particle creation and annihilation ; this is crucial for describing phenomena such as pair production which result from the conversion between mass and energy according to the relativistic relation E = mc < sup > 2 </ sup >.

The theory of quantum chromodynamics explains that quarks carry what is called a color charge, although it has no relation to visible color.

In quantum mechanics, the two key points are that the position of the particle takes the form of a matter wave, and momentum is its Fourier conjugate, assured by the de Broglie relation, where is the wavenumber.

The group velocity therefore depends upon the dispersion relation connecting ω and k. For example, in quantum mechanics the energy of a particle represented as a wave packet is E

* Relational quantum mechanics, an interpretation of quantum mechanics which treats the state of a quantum system as being observer-dependent, that is, the state is the relation between the observer and the system

Key historical developments in physics include Isaac Newton's theory of universal gravitation and classical mechanics, an understanding of electricity and its relation to magnetism, Einstein's theories of special and general relativity, the development of thermodynamics, and the quantum mechanical model of atomic and subatomic physics.

Since the uncertainty relation can be derived from the wavefunction in other interpretations of quantum mechanics, it can be likewise derived ( in the epistemic sense mentioned above ), on the de Broglie – Bohm theory.

Interpretations of quantum mechanics address questions such as what the relation is between the wavefunction, the underlying reality, and the results of experimental measurements.

The Many-Worlds Interpretation deals with it by discarding the collapse-process, thus reformulating the relation between measurement apparatus and system in such a way that the linear laws of quantum mechanics are universally valid ; that is, the only process according to which a quantum system evolves is governed by the Schrödinger equation or some relativistic equivalent.

* L. I. Mandelshtam, I. E. Tamm " The uncertainty relation between energy and time in nonrelativistic quantum mechanics ", Izv.

When quantum mechanics was developed, it was seen to be a relation between the classical and quantum descriptions of a system using wave mechanics.

It is possible to derive, from the covariant formulation of full quantum theory ( Spinfoam ) the correct relation between energy and area ( 1st law ), the Unruh temperature and the distribution that yields Hawking entropy.

DSR models are possibly related to loop quantum gravity in 2 + 1 dimensions ( two space, one time ), and it has been conjectured that a relation also exists in 3 + 1 dimensions.

In fact we have for example the relation basic in quantum mechanics:

The quantum state of the harmonic oscillator that minimizes the uncertainty relation with uncertainty equally distributed between and satisfies the equation

This is not a formal uncertainty relation: there is no uniquely defined phase operator in quantum mechanics