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Center-of-mass separation

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Summary

Separation of overall translational motion from internal atomic motion; exact for isolated nonrelativistic systems with translation-invariant interactions.

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Incoming relations (arrows to this concept)

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Nonrelativistic Coulomb HamiltonianCenter-of-mass separation

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Translation invariance permits separation of overall center-of-mass motion from internal coordinates.

How to interpret this relation type

Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Center-of-mass separationReduced-mass treatment

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

For a two-body atom the internal kinetic energy uses the exact reduced mass; for many-electron atoms related mass-polarization terms remain.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources