## Understanding quantum mechanics: an introduction to the abstract formalism and the basic ideas of quantum mechanics |

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### Contents

Ket vectors vector spaces | 7 |

discrete systems bases | 14 |

Infinite and continuous bases | 24 |

Copyright | |

3 other sections not shown

### Common terms and phrases

associated axes axis basis vectors behaviour Bohr frequency condition bosons co-ordinate representation coefficients commutation relations commutes with H complete set complex conjugate complex scalar components Consider constant defined denotes diagonal elements diagonal form differential equation dipole discrete eigen eigenfunctions eigenstates eigenstates of H eigenvalues eigenvectors electron spin energy levels example fact fermions finite H is diagonal Hamiltonian harmonic oscillator Heisenberg picture Heisenberg uncertainty principle Hence hermitian operator identical particles integral invariant ket vector linear matrix representing measurement momentum operator motion multiples of h non-zero normalized Note obtain orthogonal basis particle interchange polynomials probability amplitude problem properties Q-representation Q-space quantization quantum mechanics reader rotation scalar product Schrodinger picture SchrSdinger picture set of compatible solution solved steady magnetic field theorem time-dependent total angular momentum total energy transitions undashed unit matrix unitary transformation variable vector space wave function