dded mag as rel

DeBroglie PhD.md

@@ -1 +1,5 @@
-![[De_Broglie_Kracklauer.pdf]]
+
+# De-Broglie 1924 QM Thesis
+
+
+[De_Broglie_Kracklauer.pdf](De_Broglie_Kracklauer.pdf)

Physics.md

@@ -8,3 +8,7 @@
 [Ideas](Ideas.md)
 
 [Complex_probabilities](Complex_probabilities.md)
+
+[Straight Line Motion](Straight%20Line%20Motion.md)
+
+[Magnetism due to special relativity](mag_special_rel.md)

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

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
+E\psi = -\frac{\hbar^2}{2m}\frac{\partial^2 \psi}{\partial x^2} + V\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}
 =

Standards.md

@@ -1,3 +1,7 @@
+
+
+# Standards Notes
+
 [EN298](EN298.md)
 [EN60730](EN60730.md)
 [EN61508](EN61508.md)

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)