Principles of Quantum Mechanics P1) Energy is quantized The photoelectric effect Energy quanta E = h where h = J-s
Principles of Quantum Mechanics P2) Wave particle duality de Broglie relationparticle double slit experimentwave
Principles of Quantum Mechanics P3) Uncertainty principle position/momentum energy/time where
Principles of Quantum Mechanics Schrodinger’s equation Letting We obtain the time-dependent portion The solution of which is The time-independent portion is
Principles of Quantum Mechanics Physical meaning of wave function The probability density function is where is the complex conjugate of but Since this is a probability density
Principles of Quantum Mechanics Application 1Electron in Free Space Assuming V(x) = 0 Solution is Adding in the time dependent portion, and setting B=0 where
Principles of Quantum Mechanics Application 2Infinite Potential Well In region II, V = 0, so A solution is where
Principles of Quantum Mechanics Application 2Infinite Potential Well (cont.) Applying boundary and normalization conditions where n = 1,2,3…
Principles of Quantum Mechanics Application 3Potential Barrier Solutions for three regions where
Principles of Quantum Mechanics Application 3Potential Barrier (cont.) Tunneling when E < V 0