$ \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}} $
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The Hamiltonian is an operator that corresponds to the total energy of a system. Its eigenvalues are the allowed energy values of a system, which can be continuous or discret.
Let $H$ be the Hamiltonian operator, $|E_N\rangle$ the energy eigenstate, and $E_n$ the associated energy eigenvalue. The eigenvalue equation is then $$\begin{align*} H|E_N\rangle = E_n|E_n\rangle \end{align*}$$

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The Hamiltonian is an operator that corresponds to the total energy of a system. Its eigenvalues are the allowed energy values of a system, which can be continuous or discret.
Let $H$ be the Hamiltonian operator, $|E_N\rangle$ the energy eigenstate, and $E_n$ the associated energy eigenvalue. The eigenvalue equation is then $$\begin{align*} H|E_N\rangle = E_n|E_n\rangle \end{align*}$$

Notations

Coming soon

Concepts

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FullPage
Overview
Notations
Concepts
FullPage
Overview
Notations
Concepts
The Hamiltonian is an operator that corresponds to the total energy of a system. Its eigenvalues are the allowed energy values of a system, which can be continuous or discret.
Let $H$ be the Hamiltonian operator, $|E_N\rangle$ the energy eigenstate, and $E_n$ the associated energy eigenvalue. The eigenvalue equation is then $$\begin{align*} H|E_N\rangle = E_n|E_n\rangle \end{align*}$$

Notations

Coming soon

Concepts

Coming soon
The Hamiltonian is an operator that corresponds to the total energy of a system. Its eigenvalues are the allowed energy values of a system, which can be continuous or discret.
Let $H$ be the Hamiltonian operator, $|E_N\rangle$ the energy eigenstate, and $E_n$ the associated energy eigenvalue. The eigenvalue equation is then $$\begin{align*} H|E_N\rangle = E_n|E_n\rangle \end{align*}$$

Notations

Coming soon

Concepts

Coming soon
FullPage
Overview
Notations
Concepts