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3 results

  • 8 - Garden of Delights

  • Effrosyni Seitaridou, Emory University, Atlanta, Alfred C. K. Farris, Emory University, Atlanta
  • Book:
    A Student's Guide to Rotational Motion
    Published online:
    07 August 2023
    Print publication:
    03 August 2023, pp 157-167

  • Summary

    The journey through rotational motion is not quite done. In fact, we are just beginning. This chapter introduces a few topics which would be covered in an intermediate-level mechanics course. The topics include more advanced physical phenomena, such as gyroscopic precession, and the mathematical formalism of parameterizing rotations using matrices.

  • 12 - Statistics, Symmetry, and the Spin-Statistics Theorem

  • from Part I - General Properties of Fields; Scalars and Gauge Fields
  • Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
  • Book:
    Classical Field Theory
    Published online:
    04 March 2019
    Print publication:
    14 March 2019, pp 108-117

  • Summary

    We define statistics of quantum mechanical particles, obtaining the Bose–Einstein and Fermi–Dirac varieties of indistinguishable particles. After finding the rotation and Lorentz matrices in different Lorentz representations, we describe the spin-statistics theorem, relating fermions with half-integer spin and bosons with integer spin. We explain two simple proofs and say some words on two others. We end by discussing symmetries in more generality, and we discuss the fact that internal symmetries must commute with spacetime ones, due to the Coleman–Mandula theorem.