A new approach to obtaining sum rules |
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Authors: | AV Burenin VL Vaks IA Malinsky |
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Institution: | Institute of Applied Physics, Academy of Sciences, Gorky, USSR, 603624 |
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Abstract: | A new approach to obtaining the sum rules satisfied by the phenomenological coefficients appearing in the metric tensor of the generalized coordinate space of a many-particle system is considered and applied to the vibration-rotation motion of a nonlinear molecule. The approach is based on the requirement of physical covariance of the Cartesian and generalized coordinate configuration spaces of the system. A partial criterion of this physical covariance is the condition that the curvature tensor of configuration space remains covariant, and this condition gives several sum rules for the vibration-rotation parameters. These sum rules are particular cases of those known previously. |
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