Question

what is an operator? write the operators associated with energy and liner momentum​

Answer 1

Answer:

Explanation:

Programming languages typically support a set of operators: constructs which behave generally like functions, but which differ syntactically or semantically from usual functions. Common simple examples include arithmetic, comparison, and logical operations.

In quantum mechanics, the momentum operator is the operator associated with the measurement of linear momentum. The momentum operator is, in the position representation, an example of a differential operator. For the case of one particle in one dimension, the definition is:

{\displaystyle {\hat {p}}=-i\hbar {\frac {\partial }{\partial x}}}{\displaystyle {\hat {p}}=-i\hbar {\frac {\partial }{\partial x}}}

where ħ is Planck's reduced constant, i the imaginary unit, and partial derivatives (denoted by {\displaystyle \partial }\partial ) are used instead of a total derivative (d/dx) since the wave function is also a function of time. The "hat" indicates an operator. The "application" of the operator on a differentiable wave function is as follows:

{\displaystyle {\hat {p}}\psi =-i\hbar {\frac {\partial \psi }{\partial x}}}{\displaystyle {\hat {p}}\psi =-i\hbar {\frac {\partial \psi }{\partial x}}}

In a basis of Hilbert space consisting of momentum eigenstates expressed in the momentum representation, the action of the operator is simply multiplication by p, i.e. it is a multiplication operator, just as the position operator is a multiplication operator in the position representation.