Tagged Questions
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0answers
21 views
Proving that this is not a positive operator
Let $\rho$ be a density operator (i.e., it is an ortho projection with rank one, and also a positive operator).
Say $X = X^*$ with a spectral decomposition $X = 1P_1 + 4P_4 + 16P_{16}$, and $Y = Y^*$ ...
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0answers
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Defining entanglement in subspaces of tensor product
Let $\mathcal{H}=\mathbb{C}^n$ be a Hilbert space. A state $\rho\in\mathcal{B(H)}$ is a positive semi-definite operator with unit trace. $\rho\in \mathcal{B(H)}$, where ...
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187 views
Applications of Operator Algebras to modern physics
I think that recently I've started to lean in my interest more towards operator algebras and away from differential geometry, the latter having many applications to physics. But while taking physics ...
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2answers
249 views
Regarding Ladder Operators and Quantum Harmonic Oscillators
When dealing with the Quantum Harmonic Oscillator Operator $H=-\frac{d^{2}}{dx^{2}}+x^{2}$, there is the approach of using the Ladder Operator:
Suppose that are two operators $L^{+}$ and $L^{-}$ and ...
