Encyclopedia - Quantum Mechanics: Encyclopedia - Quantum Mechanics
Quantum mechanics is a fundamental physical theory that replaces Newtonian mechanics and classical electromagnetism at the atomic and sub...   » Read the article

Encyclopedia - Quantum Mechanics: Encyclopedia Ii - Quantum Mechanics - Introduction
The term quantum (Latin, "how much") refers to the discrete units that the theory assigns to certain physical quantities, such as the ene...   » Read the article

Encyclopedia - Variational Method Quantum Mechanics: Encyclopedia Ii - Variational Method Quantum Mechanics - Introduction
Suppose we are given a Hilbert space and a Hermitian operator over it called the Hamiltonian H. Ignoring complications about continuous s...   » Read the article

Encyclopedia - Momentum: Encyclopedia - Momentum
In physics, momentum is the product of the mass and velocity of an object. Momentum - Introduction - Momentum in Classical mechanics. If...   » Read the article

Encyclopedia - Wkb Approximation: Encyclopedia - Wkb Approximation
In physics, the WKB (Wentzel-Kramers-Brillouin) approximation, also known as WKBJ approximation, is the most familiar example of a semicl...   » Read the article

Encyclopedia - Computational Chemistry: Encyclopedia - Computational Chemistry
Computational chemistry is a branch of theoretical chemistry whose major goals are to create efficient mathematical approximations and co...   » Read the article

Encyclopedia - Alfred Clebsch: Encyclopedia - Alfred Clebsch
Alfred Clebsch (1832-1872) was a German mathematician who made important contributions to algebraic geometry and invariant theory. His co...   » Read the article

Encyclopedia - Quantum Logic: Encyclopedia Ii - Quantum Logic - Introduction
In his classic treatise Mathematical Foundations of Quantum Mechanics, von Neumann noted that projections on a Hilbert space can be viewe...   » Read the article

Encyclopedia - Quantum Logic: Encyclopedia Ii - Quantum Logic - Automorphisms
An automorphism of Q is a bijective mapping α:Q → Q which preserves the orthocomplemented structure of Q, that is: for any sequence...   » Read the article

Encyclopedia - Quantum Logic: Encyclopedia Ii - Quantum Logic - The Measurement Process
Consider a quantum mechanical system with lattice Q which is in some statistical state given by a density operator S. This essentially me...   » Read the article

Encyclopedia - Quantum Logic: Encyclopedia Ii - Quantum Logic - Projections As Propositions
The so-called Hamiltonian formulations of classical mechanics have three ingredients: states, observables and dynamics. In the simplest c...   » Read the article

Encyclopedia - Quantum Logic: Encyclopedia Ii - Quantum Logic - Non-relativistic Dynamics
In non-relativistic physical systems, there is no ambiguity in referring to time evolution since there is a global time parameter. Moreov...   » Read the article

Encyclopedia - Quantum Logic: Encyclopedia Ii - Quantum Logic - Pure States
A convex combinations of statistical states S1 and S2 is a state of the form S = p2 S1 +p2 S2 where p1, p2 are non-negative and p1 + p2 =...   » Read the article

Encyclopedia - Quantum Logic: Encyclopedia Ii - Quantum Logic - Statistical Structure
Imagine a forensics lab which has some apparatus to measure the speed of a of a bullet fired from a gun. Under carefully controlled condi...   » Read the article

Encyclopedia - Variational Method Quantum Mechanics: Encyclopedia Ii - Variational Method Quantum Mechanics - Ansatz
Obviously, if we were to vary over all possible states with norm 1 trying to minimize the expectation value of H, the lowest value would ...   » Read the article

Encyclopedia - Momentum: Encyclopedia Ii - Momentum - Momentum In Quantum Mechanics
In quantum mechanics momentum is defined as an operator on the wave function. The Heisenberg uncertainty principle defines limits on how ...   » Read the article

Encyclopedia - Momentum: Encyclopedia Ii - Momentum - Momentum In Relativistic Mechanics
Relativistic momentum as proposed by Albert Einstein arises from the invariance of four-vectors under Lorentzian translation. These four-...   » Read the article

Encyclopedia - Momentum: Encyclopedia Ii - Momentum - Changes In Momentum
Although momentum is conserved within a closed system, individual parts of a system can undergo changes in momentum. In classical mechani...   » Read the article

Encyclopedia - Momentum: Encyclopedia Ii - Momentum - Introduction - Momentum In Classical Mechanics
If an object is moving in any reference frame, then it has momentum in that frame. The amount of momentum that an object has depends on t...   » Read the article

Encyclopedia - Momentum: Encyclopedia Ii - Momentum - Conservation Of Momentum
Because of the way it is defined, momentum is always conserved. In the absence of external forces, a system will have constant total mome...   » Read the article

Encyclopedia - Computational Chemistry: Encyclopedia Ii - Computational Chemistry - Ab Initio Methods
The programs used in computational chemistry are based on many different quantum-chemical methods that solve the molecular Schrödinger e...   » Read the article

Encyclopedia - Computational Chemistry: Encyclopedia Ii - Computational Chemistry - Molecular Mechanics
In many cases, large molecular systems can be modelled succesfully avoiding quantum mechanical calculations entirely. Molecular mechanics...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Physical Chemistry
List of publications in chemistry - Introduction to Quantum Mechanics with Applications to Chemistry. Linus Pauling, E Bright Wilson N...   » Read the article

Encyclopedia - Quantum Logic: Encyclopedia Ii - Quantum Logic - The Propositional Lattice Of A Quantum Mechanical System
This suggests the following quantum mechanical replacement for the orthocomplemented lattice of propositions in classical mechanics. This...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Organic Chemistry
List of publications in chemistry - March's Advanced Organic Chemistry: Reactions Mechanisms and Structure. Michael B. Smith, Jerry Ma...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Analytical Chemistry
List of publications in chemistry - Quantitative Analysis. Day, R. A. and Arthur L. Underwood Prentice Hall, 6th Edition, 1991, ISBN 0...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Medicinal Chemistry
List of publications in chemistry - The Practice of Medicinal Chemistry. Camille Georges Wermuth editor Academic Press, 1996, ISBN 012...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Foundations
List of publications in chemistry - Méthode de Nomenclature Chimique. Guyton de Morveau, L. B.; Lavoisier, A. L.; Berthollet, C. L.; ...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Inorganic Chemistry
List of publications in chemistry - Chemical Applications of Group Theory. F. Albert Cotton Wiley, John & Sons, Incorporated, 3rd ...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Biochemistry
List of publications in chemistry - A Structure for Deoxyribose Nucleic Acid. Watson and Crick Nature 171, 737-738 (1953) © Macmillan...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Polymer Chemistry
List of publications in chemistry - Biomacromolecules. http://pubs.acs.org/journals/bomaf6/index.html List of publications in chemis...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Pharmacology
subclass, Psychopharmacology List of publications in chemistry - Phenethylamines I Have Known And Loved: A Chemical Love Story Pihkal: ...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Nuclear Chemistry
List of publications in chemistry - Radiochemistry and Nuclear Chemistry. Choppin, Liljenenzin and Rydberg ISBN 0750674636, Butterwort...   » Read the article

Encyclopedia - List Of Publications In Chemistry: Encyclopedia Ii - List Of Publications In Chemistry - Electrochemistry
List of publications in chemistry - Electrochemical Methods: Fundamentals and Applications. Allen J. Bard, Larry R. Faulkner ISBN 0471...   » Read the article

Encyclopedia - Quantum Mind: Encyclopedia Ii - Quantum Mind - Introduction
The nature of consciousness and its place in the universe remain unknown. Classical models view consciousness as computation among the br...   » Read the article

Encyclopedia - Quantum Mind: Encyclopedia Ii - Quantum Mind - Criticisms
Broadly, the arguments against the possibility are: First, comparatively large and high temperature items like neurons just do not exist ...   » Read the article

Encyclopedia - Quantum Tunneling: Encyclopedia Ii - Quantum Tunneling - History
In the early 1900s radioactive materials were known to have characteristic exponential decay rates or half lives and the radiation emissi...   » Read the article

Encyclopedia - Quantum Tunneling: Encyclopedia Ii - Quantum Tunneling - Semiclassical Calculation
Let us consider the time-independent Schrödinger equation for one particle, in one dimension, under the influence of a hill potential V(...   » Read the article

Encyclopedia - Quantum Tunneling: Encyclopedia Ii - Quantum Tunneling - Tunneling Trivia
One of the major applications is in electron-tunneling microscopes (see scanning tunneling microscope) used to see objects that are too s...   » Read the article

Encyclopedia - Quantum Tunnelling: Encyclopedia Ii - Quantum Tunnelling - History
In the early 1900s radioactive materials were known to have characteristic exponential decay rates or half lives and the radiation emissi...   » Read the article

Encyclopedia - Quantum Tunnelling: Encyclopedia Ii - Quantum Tunnelling - Semiclassical Calculation
Let us consider the time-independent Schrödinger equation for one particle, in one dimension, under the influence of a hill potential V(...   » Read the article

Encyclopedia - Quantum Tunnelling: Encyclopedia Ii - Quantum Tunnelling - Tunnelling Trivia
One of the major applications is in electron-tunnelling microscopes (see scanning tunnelling microscope) used to see objects that are too...   » Read the article

Encyclopedia - Wkb Approximation: Encyclopedia Ii - Wkb Approximation - Derivation
Beginning with the one dimensional, time-independent Schrodinger equation: which can be rewriten as We recast the wavefunction as t...   » Read the article

Encyclopedia - Computational Chemistry: Encyclopedia Ii - Computational Chemistry - Introduction
The term theoretical chemistry may be defined as a mathematical description of chemistry, whereas computational chemistry is usually used...   » Read the article

Encyclopedia - Computational Chemistry: Encyclopedia Ii - Computational Chemistry - Semiempirical Methods
Computational chemistry - Electronic structure. Within the framework of Hartree-Fock calculations, some pieces of information (such as ...   » Read the article

Encyclopedia - Supersymmetry: Encyclopedia Ii - Supersymmetry - The Supersymmetry Algebra
Traditional symmetries in physics are generated by objects that transform under the various tensor representations of the Poincaré group...   » Read the article

Encyclopedia - Supersymmetry: Encyclopedia Ii - Supersymmetry - The Supersymmetry Algebra
Traditional symmetries in physics are generated by objects that transform under the various tensor representations of the Poincaré group...   » Read the article

Encyclopedia - Zero-point Energy: Encyclopedia Ii - Zero-point Energy - Introduction
In classical physics, the energy of a system is relative, and is defined only in relation to some given state. Typically, one might assoc...   » Read the article

Encyclopedia - Zero-point Energy: Encyclopedia Ii - Zero-point Energy - Varieties Of Zero-point Energy
The idea of zero-point energy occurs in a number of situations, and it is important to distinguish these, and note that there are many cl...   » Read the article

Encyclopedia - David Hilbert: Encyclopedia Ii - David Hilbert - Miscellaneous Talks Essays And Contributions
He put forth a most influential list of 23 unsolved problems at the International Congress of Mathematicians in Paris in 1900. This is ge...   » Read the article

Encyclopedia - Breit Equation: Encyclopedia Ii - Breit Equation - Introduction
The Breit equation is not only an approximation in terms of quantum mechanics, but also in terms of relativity theory as it is not comple...   » Read the article

Encyclopedia - Heisenberg Group: Encyclopedia Ii - Heisenberg Group - Weyl's View Of Quantum Mechanics
The application that led Hermann Weyl to an explicit introduction of the Heisenberg group was the question of why the Schrödinger pictur...   » Read the article

Encyclopedia - Zero-point Energy: Encyclopedia Ii - Zero-point Energy - Introduction
Zero-point energy - What is it?. Zero Point Energy is a term used in physics to define the minimum energy that a given system, such as ...   » Read the article

Encyclopedia - Bose-einstein Condensate: Encyclopedia Ii - Bose-einstein Condensate - Theory
The collapse of the atoms into a single quantum state is known as Bose condensation or Bose-Einstein condensation. This phenomenon was pr...   » Read the article

Encyclopedia - David Hilbert: Encyclopedia Ii - David Hilbert - Miscellaneous Talks Essays And Contributions
He put forth a most influential list of 23 unsolved problems at the International Congress of Mathematicians in Paris in 1900. This is ge...   » Read the article

Encyclopedia - List Of Publications In Physics: Encyclopedia Ii - List Of Publications In Physics - Quantum Field Theory
List of publications in physics - Space-Time approach to Quantum Electrodynamics. Richard P. Feynman Physical Review, vol. 76, 6, p. 7...   » Read the article

Encyclopedia - Hilbert Space: Encyclopedia Ii - Hilbert Space - Unbounded Operators
If a linear operator is defined on all of a Hilbert space then it is necessarily bounded. However, if we allow ourselves to define a line...   » Read the article

Encyclopedia - Hilbert Space: Encyclopedia Ii - Hilbert Space - Introduction
Hilbert spaces were named after David Hilbert, who studied them in the context of integral equations. The origin of the designation "der ...   » Read the article

Encyclopedia - Entropy In Thermodynamics And Information Theory: Encyclopedia Ii - Entropy In Thermodynamics And Information Theory - Topics Of Recent Research
Entropy in thermodynamics and information theory - Is information quantized?. In 1995, Tim Palmer signalled two unwritten assumptions a...   » Read the article

Encyclopedia - Magnet: Encyclopedia Ii - Magnet - Physical Origin Of Magnetism
Magnet - Permanent magnets. All normal matter is composed of particles (protons, neutrons, and electrons), and all of these particles h...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - Simultaneity
Special relativity holds that events that are simultaneous in one frame of reference need not be simultaneous in another frame of referen...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - Causality
In diagram 2 the interval AB is 'time-like'; i.e., there is a frame of reference in which event A and event B occur at the same location ...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - Addition Of Velocities
If the observer in S sees an object moving along the x axis at velocity w then the observer in the S' system will see the object moving w...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - Mass Momentum And Energy
In addition to modifying notions of space and time, special relativity forces one to reconsider the concepts of mass, momentum, and energ...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - Relativistic Mass
Introductory physics courses and some older textbooks on special relativity sometimes define a relativistic mass which increases as the v...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - The Geometry Of Space-time
SR uses a 'flat' 4-dimensional Minkowski space, which is an example of a space-time. This space, however, is very similar to the standard...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - Physics In Spacetime
Having recognised the four-dimensional nature of spacetime, we are driven to employ the Minkowski metric, η, given in components (valid ...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - Status
Main article: Status of special relativity Special relativity is accurate only when gravitational effects are negligible or very weak; ot...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - Postulates
Main article: Postulates of special relativity 1. First postulate (principle of relativity) The laws of electrodynamics and optics will ...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - Consequences
Main article: Consequences of Special Relativity Special relativity leads to different physical predictions than Galilean relativity when...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - The Lorentz Transformations Of Space And Time
Einstein has said that all of the consequences of Special Relativity can be found from examination of the Lorentz transformations. Relati...   » Read the article

Encyclopedia - Special Relativity: Encyclopedia Ii - Special Relativity - Lorentz Contraction And Time Dilation
Multiplying through we get: Examination of the first term of the equation for x' in the Lorentz transformation shows that all positio...   » Read the article

Encyclopedia - Quantum Mechanics: Encyclopedia Ii - Quantum Mechanics - Description Of The Theory
Bra-ket notation | Commutation relation | Heisenberg picture | Schrödinger picture | Wavefunction | Measurement in quantum mechanics | S...   » Read the article

Encyclopedia - Quantum Mechanics: Encyclopedia Ii - Quantum Mechanics - Applications Of Quantum Theory
Quantum mechanics has had enormous success in explaining many of the features of our world. The individual behavior of the microscopic pa...   » Read the article

Encyclopedia - Quantum Mechanics: Encyclopedia Ii - Quantum Mechanics - Applications Of Quantum Theory
Quantum mechanics has had enormous success in explaining many of the features of our world. The individual behavior of the subatomic part...   » Read the article

Encyclopedia - Quantum Mechanics: Encyclopedia Ii - Quantum Mechanics - Philosophical Consequences
Since its inception, the many counter-intuitive results of quantum mechanics have provoked strong philosophical debate and many interpret...   » Read the article

Encyclopedia - Quantum Mechanics: Encyclopedia Ii - Quantum Mechanics - History
In 1900, Max Planck introduced the idea that energy is quantized, in order to derive a formula for the observed frequency dependence of t...   » Read the article

Article - Oceanography Sitemap I - A-z
This is a sitemap for Oceanography - A-Z . Click on a link and you will find multiple definitions and articles related to the word. Th...   » Read the article