adjoint operator
51Quantum logic — In mathematical physics and quantum mechanics, quantum logic is a set of rules for reasoning about propositions which takes the principles of quantum theory into account. This research area and its name originated in the 1936 paper by Garrett… …
52Quantum 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… …
53Stone–von Neumann theorem — In mathematics and in theoretical physics, the Stone–von Neumann theorem is any one of a number of different formulations of the uniqueness of the canonical commutation relations between position and momentum operators. The name is for Marshall… …
54Friedrichs extension — In functional analysis, the Friedrichs extension is a canonical self adjoint extension of a non negative densely defined symmetric operator. It is named after the mathematician Kurt Friedrichs. This extension is particularly useful in situations… …
55Mathematical formulation of quantum mechanics — Quantum mechanics Uncertainty principle …
56Supersymmetric 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… …
57Essential 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… …
58Trace 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… …
59C*-algebra — C* algebras (pronounced C star ) are an important area of research in functional analysis, a branch of mathematics. The prototypical example of a C* algebra is a complex algebra A of linear operators on a complex Hilbert space with two additional …
60Coherent 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 …
