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Problem
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step background
Background
The Hamiltonian for energy-independent three neutrino oscillation is:
where is the mass-squared difference between flavors and is the PMNS mixing matrix.
Plain-text mathematical notation (without MathML)
Background The Hamiltonian for energy-independent three neutrino oscillation is: H=(1)/(2)U⋅diag(0,Δm₂₁²,Δm₃₁²)⋅U^(†) where m_(ij) is the mass-squared difference between flavors and U is the PMNS mixing matrix.
Original LaTeX notation
Background
The Hamiltonian for energy-independent three neutrino oscillation is:
$$
H = \frac{1}{2} U \cdot \text{diag}(0, \Delta m_{21}^2, \Delta m_{31}^2) \cdot U^\dagger
$$
where $m_{ij}$ is the mass-squared difference between flavors and $U$ is the PMNS mixing matrix.step description prompt
Write a function to compute the 3 3 Hamiltonian for energy-independent three neutrino oscillation problem. Ignore the energy term in the Hamiltonian for now. Express all values as complex numbers.
Plain-text mathematical notation (without MathML)
Write a function to compute the 3 × 3 Hamiltonian for energy-independent three neutrino oscillation problem. Ignore the energy term E in the Hamiltonian for now. Express all values as complex numbers.
Original LaTeX notation
Write a function to compute the 3 $\times$ 3 Hamiltonian for energy-independent three neutrino oscillation problem. Ignore the energy term $E$ in the Hamiltonian for now. Express all values as complex numbers.
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