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Display information for equation id:math.1632.6 on revision:1632
* Page found: Eigenwerte und Eigenzustände von hermiteschen Operatoren (eq math.1632.6)
(force rerendering)Occurrences on the following pages:
Hash: a931bbf007c0fb3a31f1ef7840e54825
TeX (original user input):
\begin{align}
& {{\left| \left\langle \Phi | \Psi \right\rangle \right|}^{2}}\le {{\left\| \Phi \right\|}^{2}}{{\left\| \Psi \right\|}^{2}} \\
& {{\left\| \Psi \right\|}^{2}}=1 \\
& \Rightarrow {{\left\| \Phi \right\|}^{2}}{{\left\| \Psi \right\|}^{2}}={{\left\| \Phi \right\|}^{2}}=\left\langle \Phi | \Phi \right\rangle \\
& {{\left| \left\langle \Phi | \Psi \right\rangle \right|}^{2}}\le \left\langle \Phi | \Phi \right\rangle \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\left|\left\langle \Phi |\Psi \right\rangle \right|}^{2}}\leq {{\left\|\Phi \right\|}^{2}}{{\left\|\Psi \right\|}^{2}}\\&{{\left\|\Psi \right\|}^{2}}=1\\&\Rightarrow {{\left\|\Phi \right\|}^{2}}{{\left\|\Psi \right\|}^{2}}={{\left\|\Phi \right\|}^{2}}=\left\langle \Phi |\Phi \right\rangle \\&{{\left|\left\langle \Phi |\Psi \right\rangle \right|}^{2}}\leq \left\langle \Phi |\Phi \right\rangle \\\end{aligned}}
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