1.4[4 points] For a single quantum barmonic oscillator that has an angular frequency w. At temperature T, what is the partition function?

(三)請從近年來我國政府的運作中,試舉一例說明典範移轉(paradigm shift)的現象。

1.1 [6 points] Describe briefly the Stem-Gerlach experiment for the measurement of the magnetic moments of atoms, and discuss the significance of the results.

1.2 [4 points] Explain Larmor precession.

1.3[5 points] Which of the following are characteristics about the quantum harmonic oscillator? Choose all that apply. I. Evenly spaced energy states Ⅱ. The potential energy function is symmctric about the origin in the position coordinateⅢ. The ground state has zero kinetic energyⅣ. The probability of finding the particle outside the classically ailowed range is nonzero V. The ground state energy is zero

1.5 [6 points] Write down the distribution f function for photons and fermions, respectively.

1.6[4 points] In an experimental observation of the photoelectric effect, docs increasing the light amplitude change the stopping potcntial?

1.7 [5 points] What is the physical interpretation of the horizontal intercept?

1.8 [6 points] What is physical interpretation of the slope of the line?

2.1 [ 10 points] Sketch and determine the constant A in terms of a, b.

2.2 [ 10 points] What is the probability of finding the particle to the left of a? b-a