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Contact TransfortuFtions in Quantum Mechanics
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4-dimensional rotation action variables angular momentum associated canonical equations coefficients condition considered constant corresponding defined definition degeneracy diagonal differential equation eigenvalue electromagnetic field electron energy density energy levels equations of motion exist experiments formal formula fourier frequency given group of proper group of transformations group of unitary hamiltonian hamiltonian function hermitian hydrogen atom independent infinitesimal transformations integrals interpretation invariant irreducible lagrange brackets Lie group light linear lorentz group mathematical matrix elements matrix mechanics matrix representations obtained orbit parameter particle permutation phase space photons physicists Planck's poisson brackets possible principle probability problem proper contact transformation properties quantities quantization quantum mechanical quantum mechanical theory quantum numbers radiation field relations result rotation group satisfy Schrodinger equation solutions spectral spherical harmonics spin symbols symmetry group tensor theorem tho matrix tion total energy transition Unitary Transformations vector wave equation wave function whioh