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Principles of Quantum Mechanics by Dr Singh Tyagi

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Chapter 6

The Linear Harmonic Oscillator

6.1   INTRODUCTION

In the previous chapter, we solved one-dimensional Schrodinger equation of a particle in simple potentials like potential well, step potential, rectangular potential barrier, and so on. In this chapter, we continue to solve Schrodinger equation; this time in a one-dimensional harmonic potential equation A particle put in this potential is under the influence of central force given by

equation

Here k is termed as the force constant. The quantum mechanical study of one-dimensional harmonic oscillator is ...

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