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Page "Mathematical formulation of quantum mechanics" ¶ 31
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classical and description
It holds that quantum mechanics does not yield a description of an objective reality but deals only with probabilities of observing, or measuring, various aspects of energy quanta, entities which fit neither the classical idea of particles nor the classical idea of waves.
# The quantum mechanical description of large systems will closely approximate the classical description.
In a classical description, the lack of an external field also means that there is no field between the plates, and no force would be measured between them.
Although there are no known magnetic monopoles in nature, there are magnetic dipoles in the form of the quantum-mechanical spin associated with particles such as electrons ( although the accurate description of such effects falls outside of classical electromagnetism ).
This fruitful collaboration laid the ground work for the classical description of the Southern Paiute language published in 1930, and enabled Sapir to produce the conclusive evidence linking the Shoshonean languages to the Nahuan languages-establishing the Uto-Aztecan language family on solid evidence.
The first step is the realization that classical mechanics and Newton's law of gravity admit of a geometric description.
In the codex's description of the first meeting between Moctezuma and Cortés, the Aztec ruler is described as giving a prepared speech in classical oratorial Nahuatl, a speech which as described verbatim in the codex ( written by Sahagún's Tlatelolcan informants who were probably not eyewitnesses of the meeting ) included such prostrate declarations of divine or near-divine admiration as, " You have graciously come on earth, you have graciously approached your water, your high place of Mexico, you have come down to your mat, your throne, which I have briefly kept for you, I who used to keep it for you ," and, " You have graciously arrived, you have known pain, you have known weariness, now come on earth, take your rest, enter into your palace, rest your limbs ; may our lords come on earth.
Most optical phenomena can be accounted for using the classical electromagnetic description of light.
The effect was impossible to understand in terms of the classical wave description of light, as the energy of the emitted electrons did not depend on the intensity of the incident radiation.
In the classical description, this alignment can be understood to occur due to a torque being provided on the magnetic moments by an applied field, which tries to align the dipoles parallel to the applied field.
A quantum-mechanical description of the classical system can also be constructed from the action of the system by means of the path integral formulation.
In the " low-energy limit ", the quantum field-theoretic description of the electromagnetic field, quantum electrodynamics, does not exactly reduce to James Clerk Maxwell's 1864 theory of classical electrodynamics.
( More technically, when does the actual quantum state stop being a linear combination of states, each of which resembles different classical states, and instead begins to have a unique classical description?
Statistical mechanics provides a framework for relating the microscopic properties of individual atoms and molecules to the macroscopic bulk properties of materials that can be observed in everyday life, therefore explaining thermodynamics as a result of classical and quantum-mechanical description of statistics and mechanics at the microscopic level.
However, it can still be explained using a fully classical description of light, as long as matter is quantum mechanical in nature.
The above reflects a classical, functional description of how we work as cognitive, thinking systems.
In classical descriptions, an equivalent description of this mental faculty is eikasia, in the philosophy of Plato.
He believed quantum theory offers a complete description of nature, albeit one that is simply ill suited for everyday experiences – which are better described by classical mechanics and probability.
Social Capital Theory gained importance through the integration of classical sociological theory with the description of an intangible form of capital.
" These uncertainty relations give us that measure of freedom from the limitations of classical concepts which is necessary for a consistent description of atomic processes.
) A qualitative description leading to Ohm's law can be based upon classical mechanics using the Drude model developed by Paul Drude in 1900.

classical and can
It can be applied in the study of classical concepts of mathematics, such as real numbers, complex variables, trigonometric functions, and algorithms, or of non-classical concepts like constructivism, harmonics, infinity, and vectors.
By classical Greece and Rome, the reduction of words to single letters was still normal, but can default.
He is said to be the most eminent sculptor in Athens after the departure of Phidias for Olympia, but enigmatic in that none of the sculptures associated with his name in classical literature can be securely connected with existing copies.
Similarly, intuitionists object to the existence property for classical logic, where one can prove, without being able to produce any term of which holds.
Analytical methods can be separated into classical and instrumental.
The classical definition of angular momentum as can be carried over to quantum mechanics, by reinterpreting r as the quantum position operator and p as the quantum momentum operator.
In comparison to the classical quick arbitrage transaction, such an operation can produce disastrous losses.
Others such as Michael Johnston and Noam Chomsky assert that classical liberalism as such can no longer exist in a modern day context as its principles were only relevant at the time its founding thinkers conceptualised them ; and that classical liberalism has grown into two divergent philosophies since the beginning of the twentieth century: social liberalism and market liberalism.
Assuming that the rule is known, one can derive the function that is used above in the classical heat calculation with respect to pressure.
As in all classical verse forms, the phenomenon of brevis in longo is observed, so the last syllable can actually be short or long.
For classical logic, it can be easily verified with a truth table.
Modern deists believe that they must continue what the classical deists started and continue to use modern human knowledge to come to understand God, which in turn is why a human-like God that can lead to numerous contradictions and inconsistencies is no longer believed in and has been replaced with a much more abstract conception.
* Some contemporary deists believe ( with the classical deists ) that God has created the universe perfectly, so no amount of supplication, request, or begging can change the fundamental nature of the universe.
Two slits are illuminated by a plane waveGeometry for far field fringesMuch of the behaviour of light can be modelled using classical wave theory.
Pope Pius XI, in Quadragesimo Anno, provided the classical statement of the principle: " Just as it is gravely wrong to take from individuals what they can accomplish by their own initiative and industry and give it to the community, so also it is an injustice and at the same time a grave evil and disturbance of right order to assign to a greater and higher association what lesser and subordinate organizations can do.
In the classical milieu, children can begin taking private lessons on the instrument and performing in children's or youth orchestras.
Teens who aspire to becoming professional classical bassists can continue their studies in a variety of formal training settings, including colleges, conservatories, and universities.
About the closest that a bass player can come to this is in the case of classical bass players who win an audition at a professional orchestra or the tiny number of top session pros that are hired by recording studios.
Yet the borders of Europe — a concept dating back to classical antiquity — are somewhat arbitrary, as the primarily physiographic term " continent " can incorporate cultural and political elements.
Some classical construction problems of geometry are impossible using compass and straightedge, but can be solved using origami.
Decoherent interpretations of many-worlds using einselection to explain how a small number of classical pointer states can emerge from the enormous Hilbert space of superpositions have been proposed by Wojciech H. Zurek.
The name, which can also mean " hard cleft " in Irish, appears in the plural, caladbuilc, as a generic term for " great swords " in the 10th century Irish translation of the classical tale The Destruction of Troy, Togail Troi )
From a classical perspective, the electromagnetic field can be regarded as a smooth, continuous field, propagated in a wavelike manner ; whereas from the perspective of quantum field theory, the field is seen as quantized, being composed of individual particles.

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