• In mathematics, variational perturbation theory (VPT) is a mathematical method to convert divergent power series in a small expansion parameter, say s...
    4 KB (430 words) - 05:27, 3 November 2024
  • In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact...
    22 KB (2,959 words) - 12:41, 18 July 2025
  • In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated...
    70 KB (15,991 words) - 17:43, 25 May 2025
  • Møller–Plesset perturbation theory (MP) is one of several quantum chemistry post-Hartree–Fock ab initio methods in the field of computational chemistry...
    23 KB (2,899 words) - 04:03, 13 June 2025
  • Critical phenomena (category Conformal field theory)
    numerically the critical exponents, and variational perturbation theory, which converts divergent perturbation expansions into convergent strong-coupling...
    12 KB (1,578 words) - 07:06, 22 April 2025
  • The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and...
    58 KB (9,530 words) - 20:21, 15 July 2025
  • Thumbnail for Richard Feynman
    perturbation expansions into convergent strong-coupling expansions (variational perturbation theory) and, as a consequence, to the most accurate determination...
    130 KB (14,829 words) - 21:44, 17 July 2025
  • Thumbnail for Hagen Kleinert
    strong-coupling ones. This so-called variational perturbation theory yields at present the most accurate theory of critical exponents observable close...
    24 KB (1,929 words) - 07:17, 23 July 2025
  • In mathematics, an eigenvalue perturbation problem is that of finding the eigenvectors and eigenvalues of a system A x = λ x {\displaystyle Ax=\lambda...
    27 KB (6,240 words) - 22:12, 17 March 2025
  • Thumbnail for Phase transition
    experimental value of α agrees with theoretical predictions based on variational perturbation theory. For 0 < α < 1, the heat capacity diverges at the transition...
    55 KB (6,693 words) - 11:26, 19 July 2025
  • density contributes a term in the gradient of the density. In a perturbation theory approach the direct correlation function is given by the sum of the...
    80 KB (10,626 words) - 17:26, 23 June 2025
  • equation into the Schrödinger equation and applying the variational principle. The variational principle is a mathematical technique used in quantum mechanics...
    28 KB (3,710 words) - 11:02, 31 May 2025
  • theoryPerturbation theory — Potential theory — Probability theory — Ramsey theory — Rational choice theory — Representation theory — Ring theory —...
    38 KB (4,415 words) - 23:37, 22 July 2025
  • Thumbnail for Automata theory
    Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical...
    32 KB (3,851 words) - 10:11, 30 June 2025
  • motions under small perturbations. The theorem partly resolves the small-divisor problem that arises in the perturbation theory of classical mechanics...
    10 KB (1,243 words) - 22:56, 27 September 2024
  • Thumbnail for Transition state theory
    nonadiabatic transition state theory (NA-TST). Using vibrational perturbation theory, effects such as tunnelling and variational effects can be accounted for...
    41 KB (5,711 words) - 03:35, 26 May 2025
  • function. One of these approaches, Møller–Plesset perturbation theory, treats correlation as a perturbation of the Fock operator. Others expand the true multi-electron...
    31 KB (4,739 words) - 23:21, 4 July 2025
  • Thumbnail for Perturbation (astronomy)
    In astronomy, perturbation is the complex motion of a massive body subjected to forces other than the gravitational attraction of a single other massive...
    21 KB (2,425 words) - 08:15, 1 April 2025
  • Thumbnail for Probability theory
    Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations...
    26 KB (3,568 words) - 18:40, 15 July 2025
  • Thumbnail for Julian Schwinger
    (QED), in particular for developing a relativistically invariant perturbation theory, and for renormalizing QED to one loop order. Schwinger was a physics...
    25 KB (3,037 words) - 15:15, 24 June 2025
  • Thumbnail for Decision theory
    Decision theory or the theory of rational choice is a branch of probability, economics, and analytic philosophy that uses expected utility and probability...
    29 KB (3,216 words) - 11:24, 4 April 2025
  • physics, but was hindered by the extensive use of perturbation theory, which prevented the theory from succeeding in strongly correlated systems. Conformal...
    50 KB (7,080 words) - 02:22, 8 June 2025
  • Thumbnail for Cosmic inflation
    inflationary potentials, as long as the theory can be studied through perturbation theory. Linde proposed a theory known as chaotic inflation in which he...
    109 KB (12,938 words) - 04:38, 21 July 2025
  • In physics and probability theory, Mean-field theory (MFT) or Self-consistent field theory studies the behavior of high-dimensional random (stochastic)...
    18 KB (2,966 words) - 12:54, 12 June 2025
  • Schwinger's quantum action principle is a variational approach to quantum mechanics and quantum field theory. This theory was introduced by Julian Schwinger...
    4 KB (451 words) - 02:49, 25 May 2025
  • Thumbnail for Gauge theory
    renormalization of the theory. When the running coupling of the theory is small enough, then all required quantities may be computed in perturbation theory. Quantization...
    48 KB (6,839 words) - 06:41, 18 July 2025
  • Look up variation in Wiktionary, the free dictionary. Variation or Variations may refer to: Variation (astronomy), any perturbation of the mean motion...
    3 KB (386 words) - 13:53, 4 April 2025
  • Thumbnail for Coding theory
    Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography...
    27 KB (3,712 words) - 08:44, 19 June 2025
  • Thumbnail for Structure formation
    metric includes four scalar perturbations, two vector perturbations, and one tensor perturbation. Only the scalar perturbations are significant: the vectors...
    17 KB (2,171 words) - 02:24, 27 June 2025
  • Quantum field theory Classical unified field theories Variational methods in general relativity Higgs field (classical) Lagrangian (field theory) Hamiltonian...
    28 KB (3,876 words) - 00:14, 13 July 2025