self-adjoint
21Jordan algebra — In mathematics, a Jordan algebra is defined in abstract algebra as a (usually nonassociative) algebra over a field with multiplication satisfying the following axioms:# xy = yx (commutative law) # (xy)(xx) = x(y(xx)) (Jordan identity)The product… …
22Quantum graph — In mathematics and physics, a quantum graph is a linear, network shaped structure whose time evolution is described by a system of schrödinger equations or, more generally, by a set of evolution equations associated with differential or pseudo… …
23Dagger category — In mathematics, a dagger category (also called involutive category or category with involution [1][2]) is a category equipped with a certain structure called dagger or involution. The name dagger category was coined by Selinger[3]. Contents …
24Hellinger–Toeplitz theorem — In functional analysis, a branch of mathematics, the Hellinger–Toeplitz theorem states that an everywhere defined symmetric operator on a Hilbert space is bounded. By definition, an operator A is symmetric if : langle A x | y angle = langle x | A …
25Supersymmetric quantum mechanics — In theoretical physics, supersymmetric quantum mechanics is an area of research where mathematical concepts from high energy physics are applied to the seemingly more prosaic field of quantum mechanics. IntroductionUnderstanding the consequences… …
26Essential spectrum — In mathematics, the essential spectrum of a bounded operator is a certain subset of its spectrum, defined by a condition of the type that says, roughly speaking, fails badly to be invertible .The essential spectrum of self adjoint operatorsIn… …
27Differential operator — In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation, accepting a function and returning… …
28State (functional analysis) — In functional analysis, a state on a C* algebra is a positive linear functional of norm 1. The set of states of a C* algebra A , sometimes denoted by S ( A ), is always a convex set. The extremal points of S ( A ) are called pure states. If A has …
29Hamburger moment problem — In mathematics, the Hamburger moment problem, named after Hans Ludwig Hamburger, is formulated as follows: given a sequence { αn : n = 1, 2, 3, ... }, does there exist a positive Borel measure μ on the real line such that:alpha n = int {… …
30Density matrix — Mixed state redirects here. For the psychiatric condition, see Mixed state (psychiatry). In quantum mechanics, a density matrix is a self adjoint (or Hermitian) positive semidefinite matrix (possibly infinite dimensional) of trace one, that… …
