In this question we will cosider the quantum harmonic oscillator . The wavefunction of the first excited state of this system can be written as : (see figure attached ) where a = mω0 / ħ and A1 and ω0 are real constants . a) Calculate the value of the normalization constant A1 looking up the values of any integrals that you require . State the physical meaning of any condtions you use . B) Calcuate the values x at which a physicit observing a particle in this state would have the highest probability of finding it . C) At which finite of x is the probability of observing this particle zero?
3. In this question we will cosider the quantum harmonic oscillator . The wavefunction of the first excited state of this system can be written as :
(see figure attached )
where a = mω0 / ħ and A1 and ω0 are real constants .
a) Calculate the value of the normalization constant A1 looking up the values of any integrals that you require . State the physical meaning of any condtions you use .
B) Calcuate the values x at which a physicit observing a particle in this state would have the highest probability of finding it .
C) At which finite of x is the probability of observing this particle zero?
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Use your answers from parts b) and c) of this question to sketch the probability density of
a particle in this state. Calculate an expression for the position of the turning points of a
classical particle with the same energy as this quantum particle, and indicate the position
of these points on your sketch.
by Bartleby ExpertHow did we get the picture below, through an expansion and if so please show it
by Bartleby Expert