Recent content by ArjSiv

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    Composite Hilbert Spaces and Operators

    So, say I have a composite hilbert space H = H_A \otimes H_B, can I write any operator in H as U_A \otimes U_B? Thanks
    • ArjSiv
    • Thread
    • Composite Hilbert Hilbert spaces Operators
    • Replies: 5
    • Forum: Quantum Physics
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    Basic question about Pauli Rotations

    Ahh, I knew I was missing something stupid. I didn't realize that A^{2n}A = A. Thanks :)
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    Basic question about Pauli Rotations

    So it's apparently possible to prove that e^{-iAx} = cos(x)I + isin(x)A given that A^2=I. What I don't understand is how this is supposed to be derived. Any help would be appreciated as this is driving me nuts and this is probably something that is very easy to prove...
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    Quantum Mechanics: Hydrogen atom in an Electric field

    So, we have an external electric field E_{ex} being subjected to a hydrogen atom and thus adding the following term to the perturbation: H^{'} = -e\vec{E_{ex}} \cdot r. The first question asks to find the correction to the energy treating it as a perturbation, and hints to use the external...
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    Angular Momentum, L_x eigenvalues and eigenfunctions

    This is a very simple question, but I can't seem to get it right, there's probably something silly that I'm missing here. Here's the question: I have A system in the l=1 state, and I have L_z|\ket{lm} = \hbar m\ket{lm}and L^2 \ket{lm} = \hbar^2 l(l+1)\ket{lm} I need to find the eigenvalues...
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