A Theorem on Spin-Eigenfunctions
نویسندگان
چکیده
A theorem is proved to the effect that a wave function for a set of N spins,, which is a product of single-spin wave functions and which is an eigenstate of the square of the total spin S*, must be a state with the maximum possible value of S* and of S 3 z being an arbitrary direction. This theorem has z been applied in a separate work by the authors to show strikingly that the imposition of symmetry restrictions of a common type on an approximate wave function can lead to a very poor physical description. Accepted for the Air Force Franklin C. Hudson Chief, Lincoln Laboratory Office
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