self-adjoint
31Quantum indeterminacy — is the apparent necessary incompleteness in the description of a physical system, that has become one of the characteristics of the standard description of quantum physics. Prior to quantum physics, it was thought that (a) a physical system had a …
32Trace class — In mathematics, a trace class operator is a compact operator for which a trace may be defined, such that the trace is finite and independent of the choice of basis. Trace class operators are essentially the same as nuclear operators, though many… …
33Positive element — In mathematics, especially functional analysis, a hermitian element A of a C* algebra is a positive element if its spectrum consists of nonnegative real numbers. It is possible to prove that an element x of a C* algebra A is positive if and only… …
34Sturm-Liouville theory — In mathematics and its applications, a classical Sturm Liouville equation, named after Jacques Charles François Sturm (1803 1855) and Joseph Liouville (1809 1882), is a real second order linear differential equation of the formwhere y is a… …
35Quantum statistical mechanics — is the study of statistical ensembles of quantum mechanical systems. A statistical ensemble is described by a density operator S , which is a non negative, self adjoint, trace class operator of trace 1 on the Hilbert space H describing the… …
36Coercive function — In mathematics, a coercive function is a function that grows rapidly at the extremes of the space on which it is defined. More precisely, a function f : Rn → Rn is called coercive if where denotes the usual dot product and denotes the usual… …
37List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …
38Atiyah–Singer index theorem — In the mathematics of manifolds and differential operators, the Atiyah–Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) …
39Operator algebra — In functional analysis, an operator algebra is an algebra of continuous linear operators on a topological vector space with the multiplication given by the composition of mappings. Although it is usually classified as a branch of functional… …
40Coherent states in mathematical physics — Coherent states have been introduced in a physical context, first as quasi classical states in quantum mechanics, then as the backbone of quantum optics and they are described in that spirit in the article Coherent states (see also [1]). However …
