diff --git a/DeBroglie PhD.md b/DeBroglie PhD.md index c3180c0..4138181 100644 --- a/DeBroglie PhD.md +++ b/DeBroglie PhD.md @@ -1 +1,5 @@ -![[De_Broglie_Kracklauer.pdf]] \ No newline at end of file + +# De-Broglie 1924 QM Thesis + + +[De_Broglie_Kracklauer.pdf](De_Broglie_Kracklauer.pdf) \ No newline at end of file diff --git a/Physics.md b/Physics.md index 5768e72..1dd87af 100644 --- a/Physics.md +++ b/Physics.md @@ -7,4 +7,8 @@ [Ideas](Ideas.md) -[Complex_probabilities](Complex_probabilities.md) \ No newline at end of file +[Complex_probabilities](Complex_probabilities.md) + +[Straight Line Motion](Straight%20Line%20Motion.md) + +[Magnetism due to special relativity](mag_special_rel.md) diff --git a/Quantum Phase Corkscrew.md b/Quantum Phase Corkscrew.md index afe17c6..d6447f8 100644 --- a/Quantum Phase Corkscrew.md +++ b/Quantum Phase Corkscrew.md @@ -129,7 +129,7 @@ This is why the **Laplacian appears in the Schrödinger equation**. ## Final intuition -The wavefunction contains two things: +The wave~function contains two things: **Amplitude** - how much probability is present diff --git a/Schrodinger explained.md b/Schrodinger explained.md index dfb82a6..40f5d21 100644 --- a/Schrodinger explained.md +++ b/Schrodinger explained.md @@ -61,7 +61,7 @@ So the **divide by $2m$** simply comes from the classical kinetic energy formula ## 2. Introduce a wave -Quantum mechanics uses a **wavefunction** $\psi(x,t)$. +Quantum mechanics uses a **wave~function** $\psi(x,t)$. Take a simple plane wave in 1D: @@ -112,9 +112,9 @@ $$ Substitute this into the second derivative result: $$ \frac{\partial^2 \psi}{\partial x^2} -= +$$ -\left(\frac{p}{\hbar}\right)^2 \psi -= +$$ -\frac{p^2}{\hbar^2}\psi $$ Rearrange: @@ -150,6 +150,7 @@ $$ E\psi = \frac{p^2}{2m}\psi + V\psi $$ Replace $p^2\psi$: + $$ E\psi = @@ -157,9 +158,7 @@ E\psi $$ So $$ -E\psi -= --\frac{\hbar^2}{2m}\frac{\partial^2 \psi}{\partial x^2} + V\psi +E\psi = -\frac{\hbar^2}{2m}\frac{\partial^2 \psi}{\partial x^2} + V\psi $$ This is where the factor $$ @@ -182,6 +181,7 @@ $$ \frac{\partial \psi}{\partial t} = -i\omega \psi $$ Multiply by $i\hbar$: + $$ i\hbar \frac{\partial \psi}{\partial t} = @@ -209,6 +209,7 @@ $$ ## 7. Substitute into the equation We had + $$ E\psi = -\frac{\hbar^2}{2m}\frac{\partial^2 \psi}{\partial x^2} @@ -216,6 +217,7 @@ E\psi = $$ Replace $E\psi$: + $$ i\hbar \frac{\partial \psi}{\partial t} = diff --git a/Standards.md b/Standards.md index 26f478d..97ad24d 100644 --- a/Standards.md +++ b/Standards.md @@ -1,3 +1,7 @@ + + +# Standards Notes + [EN298](EN298.md) [EN60730](EN60730.md) [EN61508](EN61508.md) diff --git a/VaultMain.md b/VaultMain.md index 5bc03e9..e5649bc 100644 --- a/VaultMain.md +++ b/VaultMain.md @@ -20,7 +20,7 @@ [Clothing](Clothing.md) [Cycling](Cycling.md) [Juggling](Juggling.md) -[Unicycling](Unicycling.md) +[Uni-cycling](Unicycling.md) [Music](Music.md)