In physics, the S-matrix or scattering matrix is a matrix that relates the initial state and the final state of a physical system undergoing a scattering...
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replacing it with abstract mathematical properties of the S-matrix. In S-matrix theory, the S-matrix relates the infinite past to the infinite future in one...
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computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices...
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In mathematics, a block matrix or a partitioned matrix is a matrix that is interpreted as having been broken into sections called blocks or submatrices...
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theory where they can be used to calculate various observables such as S-matrix elements, although they are not themselves observables. This is because...
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\phi } 's if one uses the S-matrix to swap the two ψ {\displaystyle \psi } 's. Identifying the coefficients of the ϕ {\displaystyle \phi } 's on both...
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In mathematics, a matrix (pl.: matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows...
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invertible matrix (non-singular, non-degenarate or regular) is a square matrix that has an inverse. In other words, if some other matrix is multiplied...
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columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number...
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outgrowth of S-matrix theory, a research program begun by Werner Heisenberg in 1943 following John Archibald Wheeler's 1937 introduction of the S-matrix. Many...
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Scattering parameters (redirect from S-parameters)
Scattering parameters or S-parameters (the elements of a scattering matrix or S-matrix) describe the electrical behavior of linear electrical networks...
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covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square matrix giving the...
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algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices. There are many different matrix decompositions;...
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The Matrix is an American cyberpunk media franchise consisting of four feature films, beginning with The Matrix (1999) and continuing with three sequels...
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in the Matrix franchise to be directed solely by Lana. It is the sequel to The Matrix Revolutions (2003) and the fourth installment in The Matrix film series...
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converting the final Y matrix to an S or Z matrix as needed, and extracting desired measurements from the Y, Z, and/or S matrix. A fifth order, 50 ohm...
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In linear algebra, a completely-S matrix is a square matrix such that for every principal submatrix R there exists a positive vector u such that Ru >...
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particles or fields. The transition amplitude is then given as the matrix element of the S-matrix between the initial and final states of the quantum system....
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property requires the S-matrix to factorize S β α → S β 1 α 1 S β 2 α 2 {\displaystyle S_{\beta \alpha }\rightarrow S_{\beta _{1}\alpha _{1}}S_{\beta _{2}\alpha...
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Weisskopf, and others. Related theories are U-matrix, S-matrix, by M-matrix, or T-matrix. The term R-matrix is used in connection with the Yang–Baxter equation...
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in terms of the S-matrix. Here δ is the Dirac delta function. The computation of the S-matrix is the main goal of the scattering theory...
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implies the S-matrix is 1, no interaction occur and all states remain unchanged. Unitarity of the S-matrix: S † S = 1 {\displaystyle S^{\dagger }S=1} is then...
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rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix R = [...
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classical adjoint of a square matrix A, adj(A), is the transpose of its cofactor matrix. It is occasionally known as adjunct matrix, or "adjoint", though that...
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The Matrix Revolutions is a 2003 American science fiction action film written and directed by the Wachowskis. The direct sequel to The Matrix Reloaded...
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first formulated by Steven Weinberg in 1965, allows calculation of the S-matrix, used in calculating the outcome of collisions between particles, when...
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for the S-matrix: M f i = ( i e ) 2 u ¯ ( p → ′ , s ′ ) ϵ / ′ ( k → ′ , λ ′ ) ∗ p / + k / + m e ( p + k ) 2 − m e 2 ϵ / ( k → , λ ) u ( p → , s ) + ( i...
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theory from some assumptions on the spectrum of particles. It is a form of S-matrix theory. In the 1960s and '70s, the ever-growing list of strongly interacting...
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electrodynamics, the two-component theory of neutrinos, and Landau's equations for S-matrix singularities. He received the 1962 Nobel Prize in Physics for his development...
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In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. One way to express...
36 KB (4,802 words) - 21:06, 14 April 2025