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+We describe the state of electrons inside specific orbitals:
+
+We assign each orbital a number from 0,1,2...
+In each orbital each electron has a specific energy level $E_0,E_1,E_2,...$ 
+Electrons in a particular orbital x are in the corresponding quantum state $\ket{x}$
+
+![[Pasted image 20260805145524.png]]
+![[Pasted image 20260805145536.png]]
+
+### Time evolution of a quantum state
+
+![[Pasted image 20260805145615.png]]
+
+
+### Energy / Hamiltonian
+
+From now on we assume there are only finitely many orbitals N. (not really true)
+