a) What is the expectation value for spin matrices Sx ? b) What values do we get for Sx measurement and with what probabilities
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a) What is the expectation value for spin matrices Sx ?
b) What values do we get for Sx measurement and with what probabilities ?
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- QUESTION 1 The expectation value is the strict average of the possible values. O True FalseA neutron of mass m of energy E a,V(x) = Vo ) II. Estimate the kinetic energy of the neutron when they reach region III.An electron with an initial kinetic energy of 1.542 eV (in a region with 1.095 eV potential energy) is incident on a potential step (extending from x=0 to ∞) to V=2.381 eV. What is the transmission probability (in %)? FYI: If we had a travelling wave arriving at a similar potential DROP, then k1 (for x<0) would be real and the symmetry of R=(k1-k2)2/(k1+k2)2 implies reflection/transmission are the same as a potential RISE with the same energies but k1 and k2 swapped.
- Photons from the Balmer series of hydrogen transitions are sent through a double slit. What must be the distance between the slits such that the lowest energy Balmer transition has a first-order maximum (maximum adjacent to the central maximum) at an angle of 2.00°? Express your answer in um. Type your answer... At what angle, in degrees, would the first maximum be for the fourth-lowest energy Balmer transition photon, when sent through the slits above? Type your answer... DOD Submita) Show that if the total energy ε of a single particle state can be written as the sum of independent energies EiA, εiB, εic... then its partition function will factorise into a product of partition functions ZAZBZC. b) Given the factorisation, show how the free energy F and quantities such as S and Cy can be expressed as a sum of terms dependent on the sources A, B, C.Consider a proton confined within typical nuclear dimensions of 5×10^(−15) m. Estimate the minimum kinetic energy of the proton. Repeat this calculation for an electron confined within typical nuclear dimensions. Comment briefly on the physical significance of your results, given that the nuclear binding energy for a proton is typically in the range 1−10 MeV