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Supersymmetric quantum mechanics information


In theoretical physics, supersymmetric quantum mechanics is an area of research where supersymmetry are applied to the simpler setting of plain quantum mechanics, rather than quantum field theory. Supersymmetric quantum mechanics has found applications outside of high-energy physics, such as providing new methods to solve quantum mechanical problems, providing useful extensions to the WKB approximation, and statistical mechanics.

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Supersymmetric quantum mechanics

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physics, supersymmetric quantum mechanics is an area of research where supersymmetry are applied to the simpler setting of plain quantum mechanics, rather...

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Supersymmetry

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Supersymmetric quantum mechanics adds the SUSY superalgebra to quantum mechanics as opposed to quantum field theory. Supersymmetric quantum mechanics...

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Superspace

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space of dual numbers, introduced by William Clifford in 1873. Supersymmetric quantum mechanics with N supercharges is often formulated in the superspace R1|2N...

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Hamiltonian mechanics

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and Poisson structures) and serves as a link between classical and quantum mechanics. Let ( M , L ) {\displaystyle (M,{\mathcal {L}})} be a mechanical...

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String theory

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framework of quantum mechanics. A quantum theory of gravity is needed in order to reconcile general relativity with the principles of quantum mechanics, but difficulties...

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Lagrangian mechanics

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quantity in quantum mechanics (see Hamiltonian (quantum mechanics)). Routhian mechanics is a hybrid formulation of Lagrangian and Hamiltonian mechanics, which...

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Analytical mechanics

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relativistic mechanics and general relativity, and with some modifications, quantum mechanics and quantum field theory. Analytical mechanics is used widely...

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Quantum field theory

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physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics.: xi  QFT...

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Probability theory

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probabilistic nature of physical phenomena at atomic scales, described in quantum mechanics. The modern mathematical theory of probability has its roots in attempts...

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Supersymmetric WKB approximation

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the supersymmetric WKB (SWKB) approximation is an extension of the WKB approximation that uses principles from supersymmetric quantum mechanics to provide...

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Mathematical analysis

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other areas such as: The vast majority of classical mechanics, relativity, and quantum mechanics is based on applied analysis, and differential equations...

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Superpotential

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In theoretical physics, the superpotential is a function in supersymmetric quantum mechanics. Given a superpotential, two "partner potentials" are derived...

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List of quantum field theories

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Wess–Zumino–Witten model Wess–Zumino model Supersymmetric Yang–Mills Seiberg–Witten theory Super QCD (sQCD) N = 4 supersymmetric Yang–Mills theory ABJM superconformal...

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Mathematical formulation of quantum mechanics

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mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism...

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Algorithm

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algorithms which seem inherently quantum, or use some essential feature of Quantum computing such as quantum superposition or quantum entanglement. Another way...

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Topological quantum field theory

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and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological...

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Algebra of physical space

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compact, unified and geometrical formalism for both classical and quantum mechanics. APS should not be confused with spacetime algebra (STA), which concerns...

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Decision theory

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better and never worse. The proponents of fuzzy logic, possibility theory, quantum cognition, Dempster–Shafer theory, and info-gap decision theory maintain...

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Mathematical physics

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other areas of physics, such as statistical mechanics, continuum mechanics, classical field theory, and quantum field theory. Moreover, they have provided...

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Discrete mathematics

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theory in quantum mechanics Potential theory String theory Bosonic Topological Supersymmetry Supersymmetric quantum mechanics Supersymmetric theory of stochastic...

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Stochastic process

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Applebaum, David (2004). "Lévy processes: From probability to finance and quantum groups". Notices of the AMS. 51 (11): 1336–1347. Jochen Blath; Peter Imkeller;...

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Edward Witten

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Morse inequalities, by interpreting the theory in terms of supersymmetric quantum mechanics. By the mid 1990s, physicists working on string theory had...

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Perturbation theory

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advanced forms in quantum field theory. Perturbation theory (quantum mechanics) describes the use of this method in quantum mechanics. The field in general...

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Clifford algebra

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Elio (14 Nov 2007). "A Quantum-Like Interpretation and Solution of Einstein, Podolsky, and Rosen Paradox in Quantum Mechanics". arXiv:0711.2260 [quant-ph]...

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The Unreasonable Effectiveness of Mathematics in the Natural Sciences

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approximate, numerical coincidence." Wigner's second example comes from quantum mechanics: Max Born "noticed that some rules of computation, given by Heisenberg...

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Superstring theory

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quantum mechanics or more specifically quantum field theory, which describes the other three fundamental forces that act on the atomic scale. Quantum...

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Relativistic quantum mechanics

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In physics, relativistic quantum mechanics (RQM) is any Poincaré covariant formulation of quantum mechanics (QM). This theory is applicable to massive...

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Gauge theory

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of gauge symmetries appeared first in the relativistic quantum mechanics of electrons – quantum electrodynamics, elaborated on below. Today, gauge theories...

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