Dirac’s Bra and Ket Algebra
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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