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Principles of Quantum Mechanics by Dr Singh Tyagi

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Chapter 15

Time-independent Perturbation Theory

15.1  INTRODUCTION

We have seen in the first part of the book that it is possible to solve Schrodinger equation exactly (i.e., the energy eigenvalues and eigenfunctions may be found exactly) for a particle in potential like harmonic potential or Coulomb potential. However, many a times, there are situations in which the potential is deviating a bit from the potentials for which Schrodinger equation may be solved exactly. For example, if a particle is put in a potential, deviating from harmonic potential, that is, if potential is equation it is not possible to find exact eigenvalues and eigenfunctions of this ...

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