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  2. S-matrix - Wikipedia

    en.wikipedia.org/wiki/S-matrix

    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 process. It is used in quantum mechanics , scattering theory and quantum field theory (QFT).

  3. S-matrix theory - Wikipedia

    en.wikipedia.org/wiki/S-matrix_theory

    But in the guise of string theory, S-matrix theory is still a popular approach to the problem of quantum gravity. The S-matrix theory is related to the holographic principle and the AdS/CFT correspondence by a flat space limit. The analog of the S-matrix relations in AdS space is the boundary conformal theory. [1] The most lasting legacy of the ...

  4. Cluster decomposition - Wikipedia

    en.wikipedia.org/wiki/Cluster_decomposition

    The S-matrix describes the amplitude for a process with an initial state evolving into a final state .If the initial and final states consist of two clusters, with and close to each other but far from the pair and , then the cluster decomposition property requires the S-matrix to factorize

  5. Correlation function (quantum field theory) - Wikipedia

    en.wikipedia.org/wiki/Correlation_function...

    In quantum field theory, correlation functions, often referred to as correlators or Green's functions, are vacuum expectation values of time-ordered products of field operators. They are a key object of study in quantum field theory where they can be used to calculate various observables such as S-matrix elements.

  6. Quantum Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Quantum_Fourier_transform

    In quantum computing, the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier transform.The quantum Fourier transform is a part of many quantum algorithms, notably Shor's algorithm for factoring and computing the discrete logarithm, the quantum phase estimation algorithm for estimating the eigenvalues of a unitary ...

  7. Schwinger–Dyson equation - Wikipedia

    en.wikipedia.org/wiki/Schwinger–Dyson_equation

    Quantum Field Theory A Modern Perspective. Springer. There are some review article about applications of the Schwinger–Dyson equations with applications to special field of physics. For applications to Quantum Chromodynamics there are R. Alkofer and L. v.Smekal (2001). "On the infrared behaviour of QCD Green's functions". Phys. Rep. 353 (5 ...

  8. Shor's algorithm - Wikipedia

    en.wikipedia.org/wiki/Shor's_algorithm

    Shor's algorithm is a quantum algorithm for finding the prime factors of an integer. It was developed in 1994 by the American mathematician Peter Shor . [ 1 ] [ 2 ] It is one of the few known quantum algorithms with compelling potential applications and strong evidence of superpolynomial speedup compared to best known classical (non-quantum ...

  9. Quantum field theory in curved spacetime - Wikipedia

    en.wikipedia.org/wiki/Quantum_field_theory_in...

    In theoretical physics, quantum field theory in curved spacetime (QFTCS) [1] is an extension of quantum field theory from Minkowski spacetime to a general curved spacetime. This theory uses a semi-classical approach; it treats spacetime as a fixed, classical background, while giving a quantum-mechanical description of the matter and energy ...