Recent content by Ghazaleh_Zm

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    Diagonalizing a polynomial of operators (Quantum Mechanics)

    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...
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    Diagonalizing a polynomial of operators (Quantum Mechanics)

    Isn't it Hamiltonian of the Harmonic oscillator? Then should I use the energy eigenstates? and transform x and p to ladder operators? Thanks a lot!
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    Diagonalizing a polynomial of operators (Quantum Mechanics)

    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...
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    What is the Advanced Quantum Mechanics Exam and How Can I Prepare for It?

    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
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