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Topic: Correspondence principle

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In the News (Wed 22 May 19)

  Correspondence principle - Wikipedia, the free encyclopedia
In physics, the correspondence principle is a principle, first invoked by Niels Bohr in 1923, which states that the behavior of quantum mechanical systems reduce to classical physics in the limit of large quantum numbers.
This is the motivation for Bohr's correspondence principle, which states that classical physics must emerge as an approximation to quantum physics as systems become "larger".
The principles of quantum mechanics are fairly broad - for example, they state that the states of a physical system occupy a Hilbert space, but do not state what type of Hilbert space.
en.wikipedia.org /wiki/Correspondence_principle   (711 words)

 correspondence principle - HighBeam Encyclopedia
CORRESPONDENCE PRINCIPLE [correspondence principle] physical principle, enunciated by Niels Bohr in 1923, according to which the predictions of the quantum theory must correspond to the predictions of the classical theories of physics when the quantum theory is used to describe the behavior of systems that can be successfully described by classical theories.
Technically this principle means that the results of a quantum theory analysis of a problem that involves the use of very large quantum numbers must agree with the results of a classical physics analysis.
The correspondence principle provided an important theoretical basis for the development of a detailed correlation between the newer quantum theory and the classical physics that preceded it.
www.encyclopedia.com /html/c1/correspo.asp   (375 words)

 Uncertainty Principle - MSN Encarta
Uncertainty Principle, in quantum theory, the principle that it is impossible to precisely specify certain quantities simultaneously.
The uncertainty principle was discovered by the German physicist Werner Heisenberg in 1927.
To Bohr the uncertainty principle did not describe an inability of physicists to measure quantities, but a limitation of the way in which momentum and position could be defined.
uk.encarta.msn.com /encyclopedia_761578486/Uncertainty_Principle.html   (684 words)

 Classical physics - Wikipedia, the free encyclopedia
Classical physics is physics based on principles developed before the rise of quantum theory, usually including the special theory of relativity and general theory of relativity.
Unlike quantum physics, classical physics is generally characterized by the principle of complete determinism.
According to the correspondence principle and Ehrenfest's theorem as a system becomes larger or more massive (action >> Planck's constant) the classical dynamics tends to emerge, with some exceptions, such as superfluidity.
en.wikipedia.org /wiki/Classical_physics   (271 words)

 principle - Wiktionary
Cathartine is the bitter, purgative principle of senna.
Principle (moral rule) is often confused with principal (most important.) Consult both definitions if in doubt.
The confused may care to remember that 'The principal alphabetic principle places A before E' as a reminder of the relative spelling.
en.wiktionary.org /wiki/Principle   (185 words)

 Correspondence Principle - Search Results - MSN Encarta   (Site not responding. Last check: 2007-11-01)
Correspondence Principle, in physics, the guiding tenet that states that a new physical theory must explain all the phenomena that the older,...
The next step must be to examine the so-called religions found in other cultures, noting the degree to which they correspond to the term in its...
Brevity: ?, Communication: I knew one that when…, Communication: It is generally better to…, Correspondence: A habit the pleasure of…,...
uk.encarta.msn.com /Correspondence_Principle.html   (117 words)

 Principles of Creation   (Site not responding. Last check: 2007-11-01)
Just as a knowledge of the principles of geometry empowers the astronomer to measure distant suns and their movements while seated in an observatory, a knowledge of the Principle of Correspondence empowers you to reason intelligently from the known to the unknown.
The same Principle is involved in the case of "light and darkness," which are the same event, the difference consisting of varying degrees between the two opposing points of the phenomenon.
All the Principles of Summum have an interrelationship with Rhythm.
www.summum.us /philosophy/principles.shtml   (2409 words)

 Copenhagen Interpretation of Quantum Mechanics
Today the Copenhagen interpretation is mostly regarded as synonymous with indeterminism, Bohr's correspondence principle, Born's statistical interpretation of the wave function, and Bohr's complementarity interpretation of certain atomic phenomena.
The correspondence rule was a heuristic principle meant to make sure that in areas where the influence of Planck's constant could be neglected the numerical values predicted by such a theory should be the same as if they were predicted by classical radiation theory.
The correspondence rule was based on the metaphysical idea that classical concepts were indispensable for our understanding of physical reality, and it is only when classical phenomena and quantum phenomena are described in terms of the same classical concepts that we can compare different physical experiences.
plato.stanford.edu /entries/qm-copenhagen   (4400 words)

 Neal Gafter's blog: Tennent's Correspondence Principle and Returning From a Closure
The principle dictates that an expression or statement, when wrapped in a closure and then immediately invoked, ought to have the same meaning as it did before being wrapped in a closure.
The principles apply no less when extending an existing programming language, because what you are doing in that case is designing the next version of a language.
To satisfy Tennent's Correspondence Principle, a closure should introduce into the scope of the closure no names that are not explicitly declared by the user - that is, only the closure's parameters.
gafter.blogspot.com /2006/08/tennents-correspondence-principle-and.html   (2386 words)

 Caltech Authors - A new kind of test of the correspondence principle based on the prediction of the absolute ...
The correspondence principle postulates a relation between the average rate at which energy is actually being discontinuously emitted by quantum transitions and the continuous rate of emission which would be calculated from the classical theory.
In the present article, the correspondence principle is subjected for the first time to this new kind of absolute test, using Czerny's data on the intensities of the far infra-red lines Nos.
The agreement between experimental and calculated intensities is close enough greatly to increase our confidence in the correspondence principle, justify us in subjecting it to further tests, and lead us to hope that an exact quantitative formulation of the principle may be found.
resolver.caltech.edu /CaltechAUTHORS:TOLpr26a   (305 words)

 The laws list: C
The principle of causality puts forth that the act of murder cannot have an influence on the murderer's decision to commit it.
The principle that when a new, more general theory is put forth, it must reduce to the more specialized (and usually simpler) theory under normal circumstances.
There are correspondence principles for general relativity to special relativity and special relativity to Newtonian mechanics, but the most widely known correspondence principle (and generally what is meant when one says "correspondence principle") is that of quantum mechanics to classical mechanics.
www.alcyone.com /max/physics/laws/c.html   (1543 words)

Just as a knowledge of the Principles of Geometry enables man to measure distant suns and their movements, while seated in his observatory, so a knowledge of the Principle of Correspondence enables Man to reason intelligently from the Known to the Unknown.
The same Principle manifests in the case of "Light and Darkness," which are the same thing, the difference consisting of varying degrees between the two poles of the phenomena.
This Principle embodies the truth that in everything there is manifested a measured motion, to and fro; a flow and inflow; a swing backward and forward; a pendulum-like movement; a tide-like ebb and flow; a high-tide and low-tide; between the two poles which exist in accordance with the Principle of Polarity described a moment ago.
www.divineparadox.com /AgelessWisdom/Kybalion/kybalion2.htm   (2079 words)

 Niels Bohr
So far as the principles of the quantum theory are concerned, the point which has been emphasized hitherto is the radical departure of these principles from our usual conceptions of mechanical and electrodynamical phenomena.
An investigation of the formal basis of the quantum theory shows us now that it is possible to trace the question of the origin of the radiation processes which accompany the various transitions back to an investigation of the various harmonic components, which appear in the motion of the atom.
This principle of correspondence at the same time throws light upon a question mentioned several times previously, namely, the relation between the number of quantum numbers, which must be used to describe the stationary states of an atom, and the types to which the orbits of the electrons belong.
webserver.lemoyne.edu /faculty/giunta/bohr2.html   (790 words)

 Correspondence - The Diary, Correspondence, and Papers of Robert "King" Carter of   (Site not responding. Last check: 2007-11-01)
Correspondence Study at the University of Florida offers college and professional training courses through interactive, self-directed study.
The pages of correspondence, exchanged during the years Bush served as TSG will upload the correspondence as quickly as we can scan the documents.
Special committees of correspondence were formed by the colonial The first formal committee of correspondence was established in Boston in 1764 and was
luckyinternet.com /lknr/correspondence.htm   (389 words)

 Wolfgang Pauli and the Exclusion Principle
The history of the discovery of the "exclusion principle", for which I have received the honour of the Nobel Prize award in the year 1945, goes back to my students days in Munich.
The exposition of this general formulation of the exclusion principle was made in Hamburg in the spring of 1925, after I was able to verify some additional conclusions concerning the anomalous Zeeman effect of more complicated atoms during a visit to Tübingen with the help of the spectroscopic material assembled there.
With the exception of experts on the classification of spectral terms, the physicists found it difficult to understand the exclusion principle, since no meaning in terms of a model was given to the fourth degree of freedom of the electron.
www-groups.dcs.st-and.ac.uk /~history/Extras/Pauli_Exclusion_Principle.html   (1637 words)

 Seriti quotes   (Site not responding. Last check: 2007-11-01)
This principle embodies the truth that there is always a correspondence between the laws and phenomena of the various planes of being and life....
Just as a knowledge of the principles of geometry enables man to measure distant suns and their movements, while seated in his observatory, so a knowledge of the principle of correspondence enables man to reason intelligently from the known to the unkown."
"The principle of rhythm - Everything flows, out and in; everything has it's tides; all things rise and fall; the pendulum-swing manifests in everything; the measure of the swing to the right is the measure of the swing to the left; rhythm compensates.
www.seriti.net /Bookdetail.asp?Book_ID=Kybalion   (442 words)

 Angular momentum and Heisenberg's correspondence principle
Heisenberg's form of the correspondence principle is applied to the matrix elements of tensor operators.
It is characteristic of correspondence principle expressions that the initial and final quantal states must be represented by some 'mean' classical orbit, the choice of which remains ambiguous.
In this way, a correspondence principle approximation to the Clebsch-Gordan coefficient is obtained which may be used with success far from the limit to which it nominally refers.
stacks.iop.org /0953-4075/25/4045   (284 words)

 Apply Quantum Principle with Caution
Part of the early atomic theory relied on Niels Bohr's correspondence principle, which states that the quantum theory must agree with the classical theory in situations where the classical theory is accurate.
For atoms, the classical limit has always meant highly excited energy states, in which the energy spacing between quantum states is so small as to resemble the continuum of states predicted by Newtonian physics.
Bohr's original 1913 model of the hydrogen atom was based in part on his correspondence principle: When the electron is far from the proton--say, a meter away--it should act like a classical charge, emitting light with the same frequency that it orbits the proton.
focus.aps.org /story/v4/st26   (581 words)

 Physics - Wikipedia, the free encyclopedia
Consequently, physics deals with the elementary constituents of the Universe — that is, all classes of matter and energy — and their interactions, as well as the analysis of systems which are best understood in terms of these fundamental principles.
Statistical mechanics, a related theory, is the branch of physics that analyzes macroscopic systems by applying statistical principles to their microscopic constituents and, thus, can be used to calculate the thermodynamic properties of bulk materials from the spectroscopic data of individual molecules.
Applied physics is rooted in the fundamental truths and basic concepts of the physical sciences but is concerned with the utilization of scientific principles in practical devices and systems, and in the application of physics in other areas of science.
en.wikipedia.org /wiki/Physics   (4874 words)

 Corr Prin Lecture
This principle suggests that the activities and outcomes of the educational sector correspond to those of the society generally, that is, all educational systems serve their respective socieites such that the social, economic, and political relationships of the educational sector will mirrow closely those of the society of which they are a part.
According to the correspondence principle we can expect to find direct evidence of the correspondence in both the process and outcomes of schooling.
This leads us to conclude that schools through the correspondence principle serve the needs of the capitalist system for a labor force and not the personal development of the individuals involved.
www.columbia.edu /~gjn6/socedno9.html   (1334 words)

 The Planes of Correspondence
In conclusion we would again remind you that according to the Principle of Correspondence, which embodies the truth: "As Above so Below; as Below, so Above," all of the Seven Hermetic Principles are in full operation on all of the many planes, Physical Mental and Spiritual.
The Principle of Mental Substance of course applies to all the planes, for all are held in the Mind of THE ALL.
The Principle of Correspondence manifests in all, for there is a correspondence, harmony and agreement between the several planes.
www.thenazareneway.com /planes_of_correspondence.htm   (3133 words)

 Twelve Spiritual Principles and Laws   (Site not responding. Last check: 2007-11-01)
Because this principle of polarity is true then it implies that all truths are really half-truths, in other words, they only express something in a degree, not in absolute terms, depending on the degree of advancement of the individual and on his capacity to grasp the concept.
The Principle of Gender states that everything has in itself the masculine and feminine principles, this applies not just to people —man and woman are complementary halves— but also at the atomic level to charges that are of a positive, or masculine, nature, and of a negative, or feminine, nature.
Applying the Principle of Correspondence of the Kybalion studied before, the tree people of a 3D reality must have a corresponding tree people of higher reality which have developed higher senses and more evolved bodies that displace themselves around and are fully aware of their Creator and his/her Laws of Creation.
www.luisprada.com /Protected/twelve_spiritual_principles_and_laws.htm   (6663 words)

 davidbau.com: The Design of XMLBeans (Part 2)
In the first article, we introduced two basic architectural principles: type correspondence and node correspondence, and we looked at some of the ramifications of type correspondence.
The principle of node correspondence says that there is a one-to-one correspondence between Java instance objects and XML Infoset document, element, and attribute nodes.
By tying containment to the shape of instance data rather than the shape of the schema description, the principle of node correspondence guarantees that even in the face of schema evolution, the binding results in object trees which are the same shape for the same data.
davidbau.com /archives/2003/11/19/the_design_of_xmlbeans_part_2.html   (1839 words)

 Tresorie - THE CORRESPONDENCE PRINCIPLE AND HOMOEOPATHY [Correspondence Principle & Homoeopathy]
In spite of medicine's claiming to be scientific, its most practical end, therapeutics, is still very much an art depending chiefly on the judgement of the clinician and this judgement is an unmeasurable and intangible quality.
As to the Principle of Correspondence, what I have to say is brief because I know very little about it.
It merely states that for substances with high quantum numbers there is a limited range wherein the classical and quantum states correspond in their actions in a ratio of 1:1.
www.homeoint.org /hompath/articles/3162.html   (1476 words)

 SSRN-The E-Correspondence Principle by George Evans, Seppo Honkapohja
We introduce the E-correspondence principle for stochastic dynamic expectations models as a tool for comparative dynamics analysis.
The principle is applicable to equilibria that are stable under least squares and closely related learning rules.
With this technique it is possible to study, without explicit solving for the equilibrium, how properties of the equilibrium are affected by changes in the structural parameters of the model.
papers.ssrn.com /sol3/papers.cfm?abstract_id=495983   (282 words)

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