adjoint operator
111Newton–Wigner localization — (named after Theodore Duddell Newton and Eugene Wigner) is a scheme for obtaining a position operator for massive relativistic quantum particles. It is known to largely conflict with the Reeh Schlieder theorem outside of a very limited scope. The …
112Bicommutant — In algebra, the bicommutant of a subset S of a semigroup (such as an algebra or a group) is the commutant of the commutant of that subset. It is also known as the double commutant or second commutant and is written S^{prime prime}.The bicommutant …
113Generalized Gauss–Bonnet theorem — In mathematics, the generalized Gauss–Bonnet theorem (also called Chern–Gauss–Bonnet theorem) presents the Euler characteristic of a closed even dimensional Riemannian manifold as an integral of a certain polynomial derived from its curvature. It …
114Bell's theorem — is a theorem that shows that the predictions of quantum mechanics (QM) are not intuitive, and touches upon fundamental philosophical issues that relate to modern physics. It is the most famous legacy of the late physicist John S. Bell. Bell s… …
115Complex conjugate — Geometric representation of z and its conjugate in the complex plane In mathematics, complex conjugates are a pair of complex numbers, both having the same real part, but with imaginary parts of equal magni …
116Homology theory — In mathematics, homology theory is the axiomatic study of the intuitive geometric idea of homology of cycles on topological spaces. It can be broadly defined as the study of homology theories on topological spaces. Simple explanation At the… …
117Unitary equivalence — *For unitary equivalence of bounded operators in Hilbert space, see self adjoint operator. *For unitary equivalence of unitary representations see that page …
118History of loop quantum gravity — General relativity is the theory of gravitation published by Albert Einstein in 1915. According to it, the force of gravity is a manifestation of the local geometry of spacetime. Mathematically, the theory is modelled after Bernhard Riemann s… …
119Large sieve — In mathematics, the large sieve is a method of analytic number theory. As the name implies, it was developed in sieve theory, (for example) sifting from an integer sequence by means of congruence conditions modulo prime numbers in which a… …
120Bochner's theorem — In mathematics, Bochner s theorem characterizes the Fourier transform of a positive finite Borel measure on the real line. Background Given a positive finite Borel measure μ on the real line R, the Fourier transform Q of μ is the continuous… …
