September 2012
Beginner
576 pages
15h 11m
English
Content preview from Principles of Quantum MechanicsBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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Chapter 8
Linear Harmonic Oscillator—Revisited
8.1 INTRODUCTION
One-dimensional harmonic oscillator problem was studied in Chapter 6, where Schrodinger equation was solved using the power series method. This method is a bit lengthy but it has the virtue that same strategy may be applicable to other potentials, for example, Coulomb potential (which we shall discuss in Chapter 10, in the context of Hydrogen atom). The second method of solving Schrodinger equation for harmonic oscillator is the algebraic technique using the so-called annihilation and creation operators or lowering and raising operators or ladder operators. This method is really quicker and simpler too (in comparison to the power series method). This technique shall also be used ...
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