Rotations and Angular Momentum

  • Dirk Dubbers
  • Hans-Jürgen Stöckmann
Part of the Graduate Texts in Physics book series (GTP)


In order to generalize the spin-\(\frac{1}{2}\) results, we develop the necessary tools in the sections to follow. The rotation of classical objects is found already to possess the ingredients needed for a quantum description of rotation. We continue with the quantum properties of orbital angular momentum and its eigenstates, the spherical harmonics, derive the operators that rotate quantum states in Hilbert space, and establish the corresponding rotation matrices.


Angular Momentum Commutation Relation Spherical Harmonic Rotation Matrix Rotation Operator 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Dirk Dubbers
    • 1
  • Hans-Jürgen Stöckmann
    • 2
  1. 1.Fak. Physik und Astronomie, Physikalisches InstitutUniversität HeidelbergHeidelbergGermany
  2. 2.Fachbereich Physik Philipps-Universität MarburgMarburgGermany

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