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GR9277 #56
Problem
 GREPhysics.NET Official Solution Alternate Solutions
\prob{56}
If $\nu$ is the frequency and h is Planck's constant, the ground state energy of a one-dimensional quantum mechanical harmonic oscillator is

1. 0
2. $h\nu/3$
3. $h\nu/2$
4. $h\nu$
5. $3h\nu/2$

Quantum Mechanics$\Rightarrow$}Simple Harmonic Oscillator

The energy of a simple harmonic oscillator is given by $E_n=(n+\frac{1}{2})h\nu$.

Thus, the ground state energy is simply $E_0=h\nu/2$, as in choice (C).

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Blake7
2007-09-24 18:22:28
9277 must have been a cake test
 Albert2009-10-20 16:56:43 You have got to be kidding!!! The first 50 questions took me for a pretty rocky ride so far!
 conrad2009-11-03 20:19:57 lol, ETS should dish out cake with the exam booklets ;-)
 Moush2010-09-19 18:40:07 And milk and cookies...
 cjvargas902011-10-14 16:30:59 and pistols with one in the chamber
 Lilia2012-09-04 21:45:54 Need a coffee!

LaTeX syntax supported through dollar sign wrappers $, ex.,$\alpha^2_0$produces $\alpha^2_0$. type this... to get...$\int_0^\infty$$\int_0^\infty$$\partial$$\partial$$\Rightarrow$$\Rightarrow$$\ddot{x},\dot{x}$$\ddot{x},\dot{x}$$\sqrt{z}$$\sqrt{z}$$\langle my \rangle$$\langle my \rangle$$\left( abacadabra \right)_{me}$$\left( abacadabra \right)_{me}$$\vec{E}$$\vec{E}$$\frac{a}{b}\$ $\frac{a}{b}$