## Quantum MechanicsThe Book Is Written Based On Author'S Over Twenty Years Experience Of Teaching Quantum Mechanics To Graduate Students In Physics. It Contains The Portion To Be Covered At Undergraduate Level And Comprises A Two Semester Course For Graduate (Physics) Students. End Of Almost Each Chapter Contains A Problem Set. Most Of The Problems In The Set Are Solved So That Students Can Have An In Depth Knowledge Of The Subject. It Is Strictly In Accordance With The Author'S Conception That No One Can Learn A Subject Without Solving Problems. To Understand The Topics Covered In This Book, Consultation Of No Other Book On Quantum Mechanics Is Necessary. Of Course A Thorough Knowledge Of Vectors And Special Functions Is Assumed. Though A Large Number Of Books Are Available In The Subject, None Of Them Can Be Accepted As A Single Textbook. |

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### Contents

Preface | 1 |

Schrodinger Equation and Principles of Quantum Mechanics | 23 |

Simple Applications of Quantum Mechanics | 56 |

The Linear Harmonic Oscillator | 91 |

Central Potential Problems | 111 |

Degeneracy | 126 |

Diracs Ket and Bra Notation | 150 |

Quantum Dynamics | 163 |

Addition of Angular Momenta | 214 |

Invariance Symmetry and Conservation Laws | 233 |

Approximation Methods | 248 |

Interaction of Radiation With MatterSemiClassical | 348 |

Quantum Theory of Scattering | 370 |

Systems of identical Particles | 463 |

Relativistic Quantum Mechanics | 487 |

Second Quantization | 533 |

### Common terms and phrases

angular momentum antisymmetric assume Born approximation calculate called classical components condition conjugate constant corresponding degeneracy denotes density differential dimensional Dirac eigen ket eigen vectors electron energy eigen values energy levels expectation value field finite free particle given ground state energy Hamiltonian harmonic oscillator Hence Hermitian operators hydrogen atom identical particles incident independent integral interaction linear combination magnetic mass Multiplying non-relativistic normalized Note nucleus number of particles obtain order correction orthonormality perturbation theory physical Poisson bracket potential energy problem proton quantization quantum mechanics quantum number radiation region represents result rotation scattering cross-section Schrodinger equation Similarly simultaneous eigen sin2 space spherical spin Substituting the value symmetric takes the form term total scattering cross-section transition transmission coefficient unperturbed vanish variables velocity wave function wave packet WKB approximation zero