Abstract
In quantum mechanics, as well as in classical mechanics, the number of variables involved in the equations of motion may be reduced by utilizing the constants of motion of the system. For a set of N particles moving in a field-free space there are six integrals if N is greater than two. These correspond to the laws of conservation of linear and of angular momentum. It is the purpose of this paper to eliminate the coördinates of rotation and of translation of the total system from the Schrödinger equation and to obtain a new set of differential equations involving only 3N-6 variables.1
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© 1993 Springer-Verlag Berlin Heidelberg
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Hirschfelder, J.O., Wigner, E.P. (1993). Separation of Rotational Coordinates from the Schrödinger Equation for N Particles. In: Wightman, A.S. (eds) The Collected Works of Eugene Paul Wigner. The Collected Works of Eugene Paul Wigner, vol A / 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02781-3_17
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DOI: https://doi.org/10.1007/978-3-662-02781-3_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08154-5
Online ISBN: 978-3-662-02781-3
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