Calculate the period of oscillation of ?(x,t) for a particle of mass 1.67 × 10-27 kg in the first excited state of a box of width 1.68 × 10-15 m.
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Calculate the period of oscillation of ?(x,t) for a particle of mass 1.67 × 10-27 kg in the first excited state of a box of width 1.68 × 10-15 m.
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- Consider a system in a state Y If the x component of 2, m angular momentum L is measured on it, find the possible values the measurement will yield and their correponding probabilities.A particle has a wave function y(r)= Ne¯u , where N and a are real and positive constants. a) Determine the normalization value N. b) Find the average value of y c) Obtain the dispersion (Ar)? Note, you can use dz =r'(n+1) = n!Calculate the tunneling probability when the kinetic energy of the particle is 0.2 MeV , the barrier height is 20MEV, the probability amplitude is 1.95 x10'5 m-1, and the width of the barrier is 2.97×10¬1º m . (A) 0.046 (В) 0.156 (С) 0.026 (D) 0.456
- A particle is confined to a one dimensional box with boundaries at x=0 and x-1. The wave function of the particle within the box boundaries is V(x) 2100 (- x + ) and zero V 619 everywhere else. What is the probability of finding the particle between x=0 and x=0.621? Do not enter your final answer as a percentage, but rather a number between 0 and 1. For instance, if you get that the probability is 20%, enter 0.2.Calculate the uncertainties dr = V(x2) and op = V(p²) for %3D a particle confined in the region -a a, r<-a. %3DA particle is initially prepared in the state of = [1 = 2, m = −1 >|, a) What's the expectation values if we measured (each on the initial state), ,, and Ĺ_ > b) What's the expectation values of ,, if the state was Î_ instead?
- An electron moving in a box of length ‘a’. If Z1 is the wave function at x1 = a/4 with n=1 and Z2 at x = a/4 for n=2 find Z1/Z2In the lab you make a simple harmonic oscillator with a 0.15-kg mass attached to a 12-N/m spring. (a) If the oscillation amplitude is 0.10 m, what is the corresponding quantum number n for the quantum harmonic oscillator? (b) What would be the amplitude of the quantum ground state for this oscillator? (c) What is the energy of a photon emitted when this oscillator makes a transition between adjacent energy levels? Comment on each of your results.