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  2. Albert Schwarz - Wikipedia

    en.wikipedia.org/wiki/Albert_Schwarz

    Albert Schwarz. Albert Solomonovich Schwarz[1] (/ ʃwɔːrts / SHWORTS; Russian: Альберт Соломонович Шварц; born June 24, 1934) is a Soviet and American mathematician and a theoretical physicist educated in the Soviet Union and now a professor at the University of California, Davis.

  3. Effective action - Wikipedia

    en.wikipedia.org/wiki/Effective_action

    e. In quantum field theory, the quantum effective action is a modified expression for the classical action taking into account quantum corrections while ensuring that the principle of least action applies, meaning that extremizing the effective action yields the equations of motion for the vacuum expectation values of the quantum fields.

  4. Uncertainty principle - Wikipedia

    en.wikipedia.org/wiki/Uncertainty_principle

    where = is the reduced Planck constant.. The quintessentially quantum mechanical uncertainty principle comes in many forms other than position–momentum. The energy–time relationship is widely used to relate quantum state lifetime to measured energy widths but its formal derivation is fraught with confusing issues about the nature of time.

  5. Laurent Schwartz - Wikipedia

    en.wikipedia.org/wiki/Laurent_Schwartz

    Laurent-Moïse Schwartz (French: [ʃvaʁts]; 5 March 1915 – 4 July 2002) was a French mathematician. He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function. He was awarded the Fields Medal in 1950 for his work on the theory of distributions.

  6. Huygens–Fresnel principle - Wikipedia

    en.wikipedia.org/wiki/Huygens–Fresnel_principle

    The Huygens' principle is essentially compatible with quantum field theory in the far field approximation, considering effective fields in the center of scattering, considering small perturbations, and in the same sense that quantum optics is compatible with classical optics, other interpretations are subject of debates and active research.

  7. Cauchy–Schwarz inequality - Wikipedia

    en.wikipedia.org/wiki/Cauchy–Schwarz_inequality

    where , is the inner product.Examples of inner products include the real and complex dot product; see the examples in inner product.Every inner product gives rise to a Euclidean norm, called the canonical or induced norm, where the norm of a vector is denoted and defined by ‖ ‖:= , , where , is always a non-negative real number (even if the inner product is complex-valued).

  8. Quantum field theory - Wikipedia

    en.wikipedia.org/wiki/Quantum_field_theory

    t. e. In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. [1]: xi QFT is used in particle physics to construct physical models of subatomic particles and in condensed matter physics to construct models of quasiparticles.

  9. Schwinger function - Wikipedia

    en.wikipedia.org/wiki/Schwinger_function

    Schwinger function. In quantum field theory, the Wightman distributions can be analytically continued to analytic functions in Euclidean space with the domain restricted to the ordered set of points in Euclidean space with no coinciding points. [ 1 ] These functions are called the Schwinger functions (named after Julian Schwinger) and they are ...