orthonormal frames
31Quantum 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… …
32Quantum operation — In quantum mechanics, a quantum operation is a mathematical formalism used to describe a broad class of transformations that a quantum mechanical system can undergo. This formalism describes not only time evolution or symmetry transformations of… …
33Cartan's equivalence method — In mathematics, Cartan s equivalence method is a technique in differential geometry for determining whether two geometrical structures are the same up to a diffeomorphism. For example, if M and N are two Riemannian manifolds with metrics g and h …
34Hermitian manifold — In mathematics, a Hermitian manifold is the complex analog of a Riemannian manifold. Specifically, a Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each (holomorphic) tangent space. One can also define …
35Balian-Low theorem — In mathematics, the Balian Low theorem in Fourier analysis is named for Roger Balian and Francis E. Low.Suppose g is a square integrable function on the real line, and consider the so called Gabor system :g {m,n}(x) = e^{2pi i m x} g(x n),for… …
36Molecular Hamiltonian — In atomic, molecular, and optical physics as well as in quantum chemistry, molecular Hamiltonian is the name given to the Hamiltonian representing the energy of the electrons and nuclei in a molecule. This Hermitian operator and the associated… …
