SOLVED:Consider the operator Q̂=d^2 / d ϕ^2, where (as in Example 3.1) ϕis the azimuthal angle in polar coordinates, and the functions are subject to Equation 3.26. Is Q̂ hermitian? Find its eigenfunctions and eigenvalues. What is the spectrum of Q̂ ? Is the spectrum degenerate?
SOLVED:Consider the operator Q̂=d^2 / d ϕ^2, where (as in Example 3.1) ϕis the azimuthal angle in polar coordinates, and the functions are subject to Equation 3.26. Is Q̂
Consider the operator Q̂=d^2 / d ϕ^2, where (as in Example 3.1) ϕis the azimuthal angle in polar coordinates, and the functions are subject to Equation 3.26. Is Q̂ hermitian? Find its eigenfunctions and eigenvalues. What is the spectrum of Q̂ ? Is the spectrum degenerate?
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