I did the following procedure. Just please tell me its correct or not. Thank you!
because the operator ##(Ap^2+Bx^2)^n## is in the form of general harmonic oscillator Hamiltonian, the basis set in which it would be diagonal is energy eigenstates ##|n\rangle \langle n|## . If we equate...
The problem asks for the diagonalization of (a(p^2)+b(x^2))^n, where x and p are position and momentum operators with the commutation relation [x,p]=ihbar. a and b are real on-zero numbers and n is a positive non-zero integer.I know that it is not a good way to use the matrix diagonalization...
Hello everyone.
I am a Master student in Physics in Berlin.
I'm happy to be a member in this Forum for it helps us learn more.
My motivation to get in touch was the Advanced Quantum Mechanics Exam with which I'm struggling :))
Cheers
Ghazaleh