A three-dimensional wavefunction of a particle is w (r) ==exp| kr Calculate the i probability current density. ħk |C" (a) m r* hk (b) m r
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- If the partition function of the quantum linear oscillator is given by 27 1 - e The value of the partition function at T = 26 OA. 0.95 ОВ. 120 OC. 230Verify the law of addition of quantum mechanical amplitude in case of neutron diffraction in single crystal.In the subshell e = 3, (a) what is the greatest (most positive) me value, (b) how many states are available with the greatest mn, value, and (c) what is the total number of states in the subshell? (a) Number Units (b) Number Units (c) Number Units
- a) Write down the expression for the quantized energy levels, En, of a particle of mass m in an infinite square well of width L. b) State the frequency of a photon that would be emitted from a particle transitioning from the n = 2 energy level to the n = 1 energy level of this infinite square well.Weather radar systems emit radio waves in pulses. For a typical system the frequency used is 3.00 GHz (1 GHz = 109 Hz) and the minimum energy uncertainty of the radio photons is 5.50 x 10-29 J. Find (a) the time duration of each pulse, (b) the length of each pulse, (c) the energy of an average photon, and (d) the minimum frequency uncertainty.A particle is in the ground state of an inifite square well with walls at x = 0 and x = a. Suddenly the right wall moves from x = a to x = 2a. If the energy of the particle is measured after the wall expansion, what will be the most probable value of the probability of getting this result