by, Jomari L. Tanghal, MS Physics I, MSU-IIT Given the Hamiltonian operator, where the operators x and p satisfy the commutation relation . Find the following commutators: a. b. Solution: Given the Hamiltonian operator, and a.) solving for , Thus, […]

## Archive for May 22nd, 2019

### Hamiltonian Commutation

Wednesday, May 22nd, 2019Posted in Quantum Science Philippines **|** No Comments »

### Derivation of the ladder operators for the Orbital Angular Momentum, L

Wednesday, May 22nd, 2019Vanessa V. Destura, MSU-IIT Let be an eigenvector of and with eigenvalues and respectively. Now, we take the square of the norm of the eigenvalue equations for and For : For : where Note that We expand the left-hand side of the equations obtained for (equation ) and (equation ) and substitute equations and […]

Posted in Eigenvalues And Eigenvectors, Linear Vector Space, Quantum Physics, Quantum Science Philippines **|** No Comments »

### The Recursion Relation for larger n

Wednesday, May 22nd, 2019By Kim S. Ponce, MS Physics I, MSU-IIT Problem Given the recursion relation: . (a) Find for large . (b) Compare result from (a) to . Solution Starting with the recursion relation, When , the expression above reduces to Now, we compare this to which […]

Posted in Quantum Physics, Quantum Science Philippines **|** No Comments »