The mathematical formulation of quantum mechanics (QM) is built upon the concept of an operator. Physical pure states in quantum mechanics are represented as unit-norm vectors …

Operators in quantum mechanics are mathematical entities used to represent physical processes that result in the change of the state vector of the system, such as the evolution of these states …

Jul 3, 2024 · We have already discussed that the main postulate of quantum mechanics establishes that the state of a quantum mechanical system is specified by a function called the …

The commutation of H with another operator is important in the H-atom. Here the quantum number n describes the eigenvalues of H, whereas l and m describe the eigenvalues of the …

Part of the development of quantum mechanics is the establishment of the operators associated with the parameters needed to describe the system. Some of those operators are listed below.

We shall need a number of concepts related to operators and functions on which they operate, and this first section introduces some of the more important features.

In this section we will introduce another basic ingredient of quantum mechanics, the fact that physical quantities are represented by mathematical operators. Such operators are sometimes …

A quantum-mechanical operator $\Aop$ does not work on an algebraic function, but on a state vector like $\ket {\psi}$. Both kinds of operators are used in quantum mechanics and often in …

This is a topic entry that introduces quantum operator algebras and presents concisely the important roles they play in quantum field theories.

Before discussing properties of operators, it is helpful to introduce a further simplification of notation. One advantage of the operator algebra is that it does not rely upon a particular basis. …