$ \newcommand{\braket}[1]{\langle #1 \rangle} \newcommand{\abs}[2][]{\left\lvert#2\right\rvert_{\text{#1}}} \newcommand{\ket}[1]{\left\lvert#1 \right.\rangle} \newcommand{\bra}[1]{\langle\left. #1\right\rvert} \newcommand{\braket}[1]{\langle #1 \rangle} \newcommand{\dd}{\text{d}} \newcommand{\dv}[2]{\frac{\dd #1}{\dd #2}} \newcommand{\pdv}[2]{\frac{\partial}{\partial #1}} $
FullPage
Overview
Notations
Concepts
An observable is a quantity being measured in an quantum mechanical experiment.
Observables are denoted with mathematical notation to represent the measurement in a quantum system. For instance, in a Stern-Gerlache experiment, the observable is the spin angular momentum, mathematically denoted with $S_z$. It can be one of the eigenvalues of the associated operator.

Notations

Notation depends on what is the observable. It is a variable which represents the eigenvalues of the associated operator.

Concepts

In a general sense. Let's talk about the observable $A$. The measurement of the observable $A$ gives results of $A_1, A_2, \dots, A_n$, where $n$ may be finite or infinite. The quantum state associated with the observable result $A_i$ is $|a_i\rangle$.
$a_i$ can be imaginary— can it?
An observable is a quantity being measured in an quantum mechanical experiment.
Observables are denoted with mathematical notation to represent the measurement in a quantum system. For instance, in a Stern-Gerlache experiment, the observable is the spin angular momentum, mathematically denoted with $S_z$. It can be one of the eigenvalues of the associated operator.

Notations

Notation depends on what is the observable. It is a variable which represents the eigenvalues of the associated operator.

Concepts

In a general sense. Let's talk about the observable $A$. The measurement of the observable $A$ gives results of $A_1, A_2, \dots, A_n$, where $n$ may be finite or infinite. The quantum state associated with the observable result $A_i$ is $|a_i\rangle$.
$a_i$ can be imaginary— can it?
FullPage
Overview
Notations
Concepts
FullPage
Overview
Notations
Concepts
An observable is a quantity being measured in an quantum mechanical experiment.
Observables are denoted with mathematical notation to represent the measurement in a quantum system. For instance, in a Stern-Gerlache experiment, the observable is the spin angular momentum, mathematically denoted with $S_z$. It can be one of the eigenvalues of the associated operator.

Notations

Notation depends on what is the observable. It is a variable which represents the eigenvalues of the associated operator.

Concepts

In a general sense. Let's talk about the observable $A$. The measurement of the observable $A$ gives results of $A_1, A_2, \dots, A_n$, where $n$ may be finite or infinite. The quantum state associated with the observable result $A_i$ is $|a_i\rangle$.
$a_i$ can be imaginary— can it?
An observable is a quantity being measured in an quantum mechanical experiment.
Observables are denoted with mathematical notation to represent the measurement in a quantum system. For instance, in a Stern-Gerlache experiment, the observable is the spin angular momentum, mathematically denoted with $S_z$. It can be one of the eigenvalues of the associated operator.

Notations

Notation depends on what is the observable. It is a variable which represents the eigenvalues of the associated operator.

Concepts

In a general sense. Let's talk about the observable $A$. The measurement of the observable $A$ gives results of $A_1, A_2, \dots, A_n$, where $n$ may be finite or infinite. The quantum state associated with the observable result $A_i$ is $|a_i\rangle$.
$a_i$ can be imaginary— can it?
FullPage
Overview
Notations
Concepts