![[2014 solutions]](http://s1.studyres.com/store/data/008881817_1-9b59b3a488861f750cad1da068f01a69-300x300.png)
[2014 solutions]
... with | ↑⟩ = (0 ), | ↓⟩ = (1 ), we have σ = (1 0 ) with eigenstates |+⟩ = √2 (| ↑⟩ + | ↓⟩) and |−⟩ = √12 (| ↑⟩ − | ↓⟩). The 2-particle states are { |+1 , +2 ⟩, |+1 , −2 ⟩, |−1 , +2 ⟩, |−1 , −2 ⟩ }. It is then clear that both states |+1 , +2 ⟩, |−1 , −2 ⟩ have lower energy: e.g. ⟨+1 , +2 |(−Jσ1x σ2x ) ...
... with | ↑⟩ = (0 ), | ↓⟩ = (1 ), we have σ = (1 0 ) with eigenstates |+⟩ = √2 (| ↑⟩ + | ↓⟩) and |−⟩ = √12 (| ↑⟩ − | ↓⟩). The 2-particle states are { |+1 , +2 ⟩, |+1 , −2 ⟩, |−1 , +2 ⟩, |−1 , −2 ⟩ }. It is then clear that both states |+1 , +2 ⟩, |−1 , −2 ⟩ have lower energy: e.g. ⟨+1 , +2 |(−Jσ1x σ2x ) ...
Notes (ver 2):Solving Equations by Addition or Subtraction
... • Remember to always • Check you solution! use the sign in front of the number. • Does -16 + 23 = 7? • Because 16 is negative, we need to add 16 to both sides. • YES! 7 = 7 and our solution is ...
... • Remember to always • Check you solution! use the sign in front of the number. • Does -16 + 23 = 7? • Because 16 is negative, we need to add 16 to both sides. • YES! 7 = 7 and our solution is ...
Details
... electromagnetic radiation, Plank theory, Bohr theory. Quantum theory, Schrodinger wave equation, quantum numbers, shapes of orbitals and electronic configuration. Periodic classification of the elements and periodic relationship among them. Unit 2:Bonding types, intermolecular forces, overlap of orb ...
... electromagnetic radiation, Plank theory, Bohr theory. Quantum theory, Schrodinger wave equation, quantum numbers, shapes of orbitals and electronic configuration. Periodic classification of the elements and periodic relationship among them. Unit 2:Bonding types, intermolecular forces, overlap of orb ...
- Center for Quantum Science and Engineering
... Motivated by the baryon chiral perturbation theory for QCD, using the symmetries as well as other relevant properties of the underlying microscopic t-J model, we have constructed a low-energy effective field theory for the t-J model on the square and honeycomb lattices. The effective field theory is ...
... Motivated by the baryon chiral perturbation theory for QCD, using the symmetries as well as other relevant properties of the underlying microscopic t-J model, we have constructed a low-energy effective field theory for the t-J model on the square and honeycomb lattices. The effective field theory is ...
![1. [20 pts] Find an integrating factor and solve the equation y](http://s1.studyres.com/store/data/023549894_1-4f9be6ab9fef76481569f776c8b2c60d-300x300.png)
