Summary
A representation of the position and angular-momentum variables of a quantum-mechanical rigid rotator is obtained from general symmetry principles. The method used is similar to the treatment of spin in the case of the quantum particle.
Riassunto
Si ricava, a partire dai principi generali di simmetria, una rappresentazione delle variabili della posizione e dell’impulso angolare di un rotore rigido della meccanica quantistica. Il metodo usato è simile al trattamento dello spin nel caso di una particella quantistica.
Резюме
Из общих принципов симметрии выводится представление для квантовомеханического жесткого ротатора, зависящее от переменных положения и момехта. Предложенный метод аналогичен рассмотрению спина в случае квантовой частицы.
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References
H. V. McIntosh:Amer. Journ. Phys.,27, 620 (1959).
G. W. Mackey:The Mathematical Foundations of Quantum Mechanics (New York, N. Y., 1963).
G. W. Mackey:Induced Representations of Groups and Quantum Mechanics (New York, N. Y., 1968).
V. Bargmann:Ann. Math.,59, 1 (1954).
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Smith, J.D. Quantum mechanics of the rigid rotator. Nuov Cim B 22, 337–345 (1974). https://doi.org/10.1007/BF02726596
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DOI: https://doi.org/10.1007/BF02726596