Question

2. For the ground state of the one-dimensional harmonic oscillator find the average value of the kinetic energy and of the potential energy and thus verify that: $langle T angle = langle V angle = frac{E_0}{2}$ a. How does this quantum result compare to what you know about the classical harmonic oscillator result? b. For the n = 1 harmonic oscillator state, find the most likely position(s) of the particle. c. At what values of x is the harmonic oscillator particle in the non-classical region, i.e. where V > E?

          2. For the ground state of the one-dimensional harmonic oscillator find the average value of the
kinetic energy and of the potential energy and thus verify that:
$langle T 
angle = langle V 
angle = frac{E_0}{2}$
a. How does this quantum result compare to what you know about the classical harmonic
oscillator result?
b. For the n = 1 harmonic oscillator state, find the most likely position(s) of the particle.
c. At what values of x is the harmonic oscillator particle in the non-classical region, i.e.
where V > E?

$2. For the ground state of the one-dimensional harmonic oscillator find the average value of the kinetic energy and of the potential energy and thus verify that: langle T angle = langle V angle = fracE02 a. How does this quantum result compare to what you know about the classical harmonic oscillator result? b. For the n = 1 harmonic oscillator state, find the most likely position(s) of the particle. c. At what values of x is the harmonic oscillator particle in the non-classical region, i.e. where V > E?$

Added by Sara C.

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