A single particle state of a harmonic oscillator is described by the density operator $$ \rho = c \, \sum_{n=0}^{\infty} \frac{1}{n!} |n are the eigenstates of the oscillator. Is this a pure or mixed state? Determine the normalization constant. Calculate the energy of the system. __________________________________________________________________ I would've thought any state written as a sum of p_i |i

Question

A single particle state of a harmonic oscillator is described by the density operator $$ \rho = c \, \sum_{n=0}^{\infty} \frac{1}{n!} |n> are the eigenstates of the oscillator. Is this a pure or mixed state? Determine the normalization constant. Calculate the energy of the system. __________________________________________________________________ I would've thought any state written as a sum of p_i |i>

niyex · Answer

the formular is related to the density operator or the harmonic oscillator
 
What the real question

kainui · Answer

Yeah, you are correct it is a mixed state. Now normalize it to solve for c.