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UNITARY OPERATORS AND SYMMETRY TRANSFORMATIONS FOR QUANTUM THEORY HASSAN NARAGHI Abstract. Unitary spaces, transformations, matrices and operators are of fun-damental importance in quantum mechanics. In quantum mechanics symmetry transformations are induced by unitary. This is the content of the well known Wigner theorem.
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tation of this same program quantum mechanically is the most signiﬁcant application of the approach to quantum canonical transformations described here and will be the focus. It will be shown that a general quantum canonical transformation can be constructed as a product of elementary canonical transformations of known behavior, as conjectured by