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About Harmonic Oscillator PDF
The document summarizes key aspects of the harmonic oscillator potential in quantum mechanics. It describes two methods - algebraic and analytic - for solving the Schrodinger equation for the harmonic oscillator Hamiltonian. The algebraic method introduces creation and annihilation operators, which are used to express the Hamiltonian in terms of occupation number. The ground state wavefunction is derived to be a Gaussian distribution centered at the origin. Repeated applications of the creation operator on eigenstates of the occupation number operator generate higher excited states.
Detailed Information
| Author: | ['Shreeyesh Biswal'] |
|---|---|
| Publication Year: | 2018 |
| Pages: | 26 |
| Language: | English |
| Format: | |
| Price: | FREE |
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