Quantum mechanical equation of motion of charged particles in magnetic field
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In quantum mechanics, the Pauli equation or Schrödinger–Pauli equation is the formulation of the Schrödinger equation for spin-½ particles, which takes into account the interaction of the particle's spin with an external electromagnetic field. It is the non-relativistic limit of the Dirac equation and can be used where particles are moving at speeds much less than the speed of light, so that relativistic effects can be neglected. It was formulated by Wolfgang Pauli in 1927.[1] In its linearized form it is known as Lévy-Leblond equation.
^Pauli, Wolfgang (1927). "Zur Quantenmechanik des magnetischen Elektrons". Zeitschrift für Physik (in German). 43 (9–10): 601–623. Bibcode:1927ZPhy...43..601P. doi:10.1007/BF01397326. ISSN 0044-3328. S2CID 128228729.
In quantum mechanics, the Pauliequation or Schrödinger–Pauliequation is the formulation of the Schrödinger equation for spin-½ particles, which takes...
matrices are named after the physicist Wolfgang Pauli. In quantum mechanics, they occur in the Pauliequation, which takes into account the interaction of...
the 2×2 Pauli matrices as a basis of spin operators, thus solving the nonrelativistic theory of spin. This work, including the Pauliequation, is sometimes...
bispinors), two of which resemble the Pauli wavefunction in the non-relativistic limit, in contrast to the Schrödinger equation which described wave functions...
elasticity, general relativity, and quantum mechanics (Schrödinger equation, Pauliequation etc.). They also arise from many purely mathematical considerations...
matrices (better known as the Pauli matrices) were introduced by Pauli in the Pauliequation; the Schrödinger equation with a non-relativistic Hamiltonian...
In quantum mechanics, the Pauli exclusion principle states that two or more identical particles with half-integer spins (i.e. fermions) cannot simultaneously...
_{2}} +a^{3}\mathbf {I\sigma _{3}} } The Pauli particle is described by the real Pauli–Schrödinger equation: ∂ t ψ I σ 3 ℏ = H S ψ − e ℏ 2 m c B ψ σ 3...
arrived at the same equation in 1928. This relativistic wave equation is now most commonly known as the Klein–Gordon equation. In 1927, Pauli phenomenologically...
quantum number for spin s = 1 /2. In solutions of the Schrödinger-Pauliequation, angular momentum is quantized according to this number, so that magnitude...
spinors. In the non-relativistic limit the Dirac equation reduces to the Pauliequation (see Dirac equation for how). When applied a one-electron atom or...
observed in the Stern–Gerlach experiment. In 1928, Paul Dirac extended the Pauliequation, which described spinning electrons, to account for special relativity...
Weyl published his equation in 1929 as a simplified version of the Dirac equation. Wolfgang Pauli wrote in 1933 against Weyl's equation because it violated...
vulns are real". The Register. Retrieved August 19, 2016. Pauli, Darren (August 24, 2016). "Equation Group exploit hits newer Cisco ASA, Juniper Netscreen"...
interacting with a time-dependent electromagnetic field is given by the Pauliequation (the theoretical description follows ): H = 1 2 m [ P − q A ( R , t...
sphere Pauliequation Cartan, Élie (1981) [1938], The Theory of Spinors, New York: Dover Publications, ISBN 978-0-486-64070-9, MR 0631850 The Pauli vector...
equation as the limit of the Pauli theory. Thus the Schrödinger equation may be seen as the far non-relativistic approximation of the Dirac equation when...
Schrödinger equation describes how pure states evolve in time, the von Neumann equation (also known as the Liouville–von Neumann equation) describes how...
This is a list of scientific equations named after people (eponymous equations). Contents A B C D E F G H I J K L M N O P R S T V W Y Z See also References...
In physics, the Majorana equation is a relativistic wave equation. It is named after the Italian physicist Ettore Majorana, who proposed it in 1937 as...