Quantum Mechanics Formalism

  • Riccardo D’Auria
  • Mario Trigiante
Part of the UNITEXT book series (UNITEXT)


In this chapter we give a concise review of the quantum mechanics formalism from a perspective which generalizes the ordinary Schroedinger formulation. In this way we may reconsider the Schroedinger approach to quantum mechanics from a more geometrical and group-theoretical point of view and show the close relationship between the classical Hamiltonian theory and quantum mechanics. Moreover the formalism developed in this chapter will be useful for an appropriate exposition of the relativistic wave equations in  Chap. 10 and the field quantization approach in  Chap. 11.


Wave Function Quantum State Lorentz Transformation Momentum Operator Lorentz Group 
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  1. 1.
    P.A.M. Dirac, The Principles of Quantum Mechanics, (Clarendon Press- Oxford, 1958) [Chap.9]Google Scholar
  2. 2.
    L.D. Landau and E.M. Lifshitz, Course of Theoretical Physics, Quantum Mechanics (Vol.3), Quantum Electrodynamics (Vol.4), (Butterworth Heinemann, Elsevier Science, 1976) [Chap.8,9,10,11,12]Google Scholar
  3. 3.
    A. Di Giacomo, Lezioni di Fisica Teorica, (Edizioni ETS, 1992) [Chap.10,11,12]Google Scholar

Copyright information

© Springer Milan 2012

Authors and Affiliations

  1. 1.Dipto. FisicaPolitecnico di TorinoTorinoItaly

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