Dirac’s Bra and Ket Algebra

  • Ajoy Ghatak
  • S. Lokanathan
Part of the Fundamental Theories of Physics book series (FTPH, volume 137)


In this chapter we will introduce Dirac’s bra and ket algebra in which the states of a dynamical system will be denoted by certain vectors (which, following Dirac, will be called as bra and ket vectors) and operators representing dynamical variables (like position coordinates, components of momentum and angular momentum) by matrices.2 In the following two chapters we will use the bra and ket algebra to solve the linear harmonic oscillator problem and the angular momentum problem. In both the chapters we will show the advantage of using the operator algebra in obtaining solutions of various problems.


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References and suggested reading

  1. 1.
    P.A.M. Dirac, The Principles of Quantum Mechanics, Oxford University Press, Oxford (1958).MATHGoogle Scholar
  2. 2.
    G. Baym, Lectures on Quantum Mechanics, W.A. Benjamin, New York (1969).MATHGoogle Scholar
  3. 3.
    H.S. Green, Matrix Methods in Quantum Mechanics, Barnes and Noble, New York (1968).Google Scholar
  4. 4.
    H.C. Ohanian, Principles of Quantum Mechanics, Prentice-Hall, Englewood Cliffs, New Jersey (1990).Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Ajoy Ghatak
    • 1
  • S. Lokanathan
    • 2
  1. 1.Indian Institute of TechnologyNew DelhiIndia
  2. 2.Jawahar Lal Nehru PlanetariumBangaloreIndia

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