Physics theorems Physics theorems The adiabatic theorem is an important theorem in quantum mechanics which provides the foundation for perturbative quantum field theory. ...more on Wikipedia about "Adiabatic theorem"
Bell's theorem is the most famous legacy of the late John Bell. It is famous for drawing an important line in the sand between quantum mechanics (QM) and the world as we know it intuitively. It is simple and elegant, and at the same time touches upon many of the fundamental philosophical issues that relate to modern physics. In its simplest form, Bell's theorem states: ...more on Wikipedia about "Bell's theorem"
Birkhoff's theorem in electromagnetism is a theorem about a particular type of solution of Maxwell's field equations of electromagnetism. ...more on Wikipedia about "Birkhoff's theorem (electromagnetism)"
In general relativity, Birkhoff's theorem states that any spherically symmetric solution of the vacuum field equations must be static and asymptotically flat. This means that the exterior solution must be given by the Schwarzschild metric. ...more on Wikipedia about "Birkhoff's theorem (relativity)"
The Buckingham π theorem is a key theorem in dimensional analysis. The theorem states that if we have a physically meaningful equation involving a certain number, n, of physical variables, and these variables are expressible in terms of k independent fundamental physical quantities, then the original expression ...more on Wikipedia about "Buckingham π theorem"
In physics, the cluster decomposition theorem guarantees locality in quantum field theory. According to this theorem, the vacuum expectation value of a product of many operators - each of them being either in region A or in region B where A and B are very separated - asymptotically equals the product of the expectation value of the product of the operators in A, times a similar factor from the region B. Consequently, sufficiently separated regions behave independently. ...more on Wikipedia about "Cluster decomposition theorem"
In theoretical physics, Goldstone theorem is a theorem that states that whenever a symmetry is spontaneously broken, new light (or, in the limit where the symmetry was exact, massless) scalar particles appear in the spectrum of possible excitation. It is first formulated by Jeffrey Goldstone. There is one scalar particle - called a Goldstone boson - for each generator of the symmetry that is broken i.e. that does not preserve the ground state. (Spontaneously broken global fermionic symmetries (see supersymmetry) lead to Goldstone fermions) ...more on Wikipedia about "Goldstone's theorem"
In thermodynamics, the H-theorem, introduced by Boltzmann in 1872, describes the increase in the entropy of an ideal gas in an irreversible process, by considering the Boltzmann equation. ...more on Wikipedia about "H-theorem"
Rudolf Haag showed in 1955 that the interaction picture cannot be rigorously defined in quantum field theory, a result now commonly cited as Haag's Theorem. This is in stark contrast to the successes of perturbative quantum electrodynamics. ...more on Wikipedia about "Haag's theorem"
The Helmholtz theorem of classical mechanics reads as follows: ...more on Wikipedia about "Helmholtz theorem (classical mechanics)"
In fluid mechanics, Helmholtz's theorems describe the behaviour of vortex lines in a fluid. The theorems apply to fluids that are inviscid (ie without viscosity), incompressible, of constant density and under the influence of a conservative body force (such as gravity). The theorems were published by Hermann von Helmholtz in 1858. ...more on Wikipedia about "Helmholtz's theorems"
In electrical engineering, the maximum power (transfer) theorem states that to obtain maximum power from a source with a fixed internal resistance the resistance of the load must be made the same as that of the source. ...more on Wikipedia about "Maximum power theorem"
The no cloning theorem is a result of quantum mechanics which forbids the creation of identical copies of an arbitrary unknown quantum state. It was stated by Wootters, Zurek, and Dieks in 1982, and has profound implications in quantum computing and related fields. ...more on Wikipedia about "No cloning theorem"
Noether's theorem is a central result in theoretical physics that expresses the one-to-one correspondence between symmetries and conservation laws. This exact equivalence holds for all physical laws based upon the action principle defined over a symplectic space. It is named after the early 20th century mathematician Emmy Noether. ...more on Wikipedia about "Noether's theorem"
Norton's theorem for electrical networks states that any collection of voltage sources and resistors with two terminals is electrically equivalent to an ideal current source I in parallel with a single resistor R. For single frequency AC systems the theorem can also be applied to general impedances, not just resistors. The Norton Equivalent is a prototype circuit used to represent a power supply or battery. The circuit consists of an ideal current source in parallel with an ideal resistor. ...more on Wikipedia about "Norton's theorem"
The Poynting theorem is a statement due to John Henry Poynting about the conservation of energy for the electromagnetic field. It relates the time derivative of the energy density, u, to the energy flow and the rate at which the fields do work. It is summarised by the following formula ...more on Wikipedia about "Poynting theorem"
The Reeh–Schlieder theorem is a result of relativistic local quantum field theory, stating that the vacuum is a cyclic vector for the field algebra of any open set in Minkowski space. It was published by Helmut Reeh and Siegfried Schlieder (1918-2003) in 1961. ...more on Wikipedia about "Reeh–Schlieder theorem"
In quantum field theory, the Wightman distributions can be analytically continued to analytic functions in Euclidean space with the domain restricted to the ordered set of points in Euclidean space with no coinciding points. These functions are called the Schwinger functions and they are analytic, symmetric under the permutation of arguments (antisymmetric for fermionic fields), Euclidean covariant and satisfies a property known as reflection positivity. ...more on Wikipedia about "Schwinger function"
In fluid mechanics, the Taylor–Proudman theorem states that, in slowly moving steady flow in a rotating reference frame, the fluid velocity will be uniform along any line parallel to the axis of rotation. ...more on Wikipedia about "Taylor–Proudman theorem"
Thévenin's theorem for electrical networks states that any combination of voltage sources and resistors with two terminals is electrically equivalent to a single voltage source V and a single series resistor R. For single frequency AC systems the theorem can also be applied to general impedances, not just resistors. The theorem was first discovered by German scientist Hermann von Helmholtz in 1853, but was then rediscovered in 1883 by French telegraph engineer Léon Charles Thévenin ( 1857- 1926). ...more on Wikipedia about "Thévenin's theorem"
In physics, the virial theorem states that the time-average kinetic energy of a particle or system of particles whose motions are bounded is given by ...more on Wikipedia about "Virial theorem" Enjoy shortopedia.
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