One-particle Systems
In general, the one-particle state could be described by a complete set of quantum numbers denoted by . For example set of the three quantum numbers associated to an electron in a coulomb potential, for example the hydrogen atom. Hence, the state is called and is an eigenvector of the Hamiltonian operator. One can obtain a state function representation of the state using . All eigenvectors of an Hermitian operator form a complete basis, so one can construct any state obtaining the completeness relation:
All the properties of the particle could be known using this vector basis.
Read more about this topic: First Quantization
Famous quotes containing the word systems:
“The geometry of landscape and situation seems to create its own systems of time, the sense of a dynamic element which is cinematising the events of the canvas, translating a posture or ceremony into dynamic terms. The greatest movie of the 20th century is the Mona Lisa, just as the greatest novel is Gray’s Anatomy.”
—J.G. (James Graham)