An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 6.7, Problem 51P
To determine
The value of the single particle transitional partition function.
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Chapter 6 Solutions
An Introduction to Thermal Physics
Ch. 6.1 - Prob. 2PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.1 - Prob. 6PCh. 6.1 - Prob. 7PCh. 6.1 - Prob. 8PCh. 6.1 - Prob. 9PCh. 6.1 - Prob. 10PCh. 6.1 - Prob. 11PCh. 6.1 - Prob. 12P
Ch. 6.1 - Prob. 13PCh. 6.1 - Prob. 14PCh. 6.2 - Prob. 15PCh. 6.2 - Prob. 16PCh. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - Prob. 19PCh. 6.2 - Prob. 20PCh. 6.2 - For an O2 molecule the constant is approximately...Ch. 6.2 - The analysis of this section applies also to...Ch. 6.3 - Prob. 31PCh. 6.4 - Calculate the most probable speed, average speed,...Ch. 6.4 - Prob. 35PCh. 6.4 - Prob. 36PCh. 6.4 - Prob. 37PCh. 6.4 - Prob. 39PCh. 6.4 - Prob. 40PCh. 6.5 - Prob. 42PCh. 6.5 - Some advanced textbooks define entropy by the...Ch. 6.6 - Prob. 44PCh. 6.7 - Prob. 45PCh. 6.7 - Equations 6.92 and 6.93 for the entropy and...Ch. 6.7 - Prob. 47PCh. 6.7 - For a diatomic gas near room temperature, the...Ch. 6.7 - Prob. 49PCh. 6.7 - Prob. 50PCh. 6.7 - Prob. 51PCh. 6.7 - Prob. 52PCh. 6.7 - Prob. 53P
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- Problem 1: Bosons, Fermions Consider a system of five particles, inside a container where the allowed energy levels are nondegenerate and evenly spaced. For instance, the particles could be trapped in a one-dimensional harmonic oscillator potential. In this problem you will consider the allowed states for this system, depending on whether particles are identical fermions, identical bosons, or distinguishable particles. a) Describe the ground state of this system, for each of these three cases. b) Suppose that the system has one unit of energy (above the ground state). Describe the allowed states of the system, for each of the three cases. How many possible system states are there in each case? c) Repeat part (b) for two units of energy and for three units of energy. d) Suppose that the temperate of this system is low, so that the total energy is low (though not necessarily zero). In what way will the behavior of the bosonic system differ from that of the system of distinguishable…arrow_forwardPlease, I want to solve the question correctly, clearly and conciselyarrow_forwardSolve the all with steparrow_forward
- need help with the derivation for the first partarrow_forwardPROBLEM 2. Consider a spherical potential well of radius R and depth Uo, so that the potential is U(r) = -Uo at r R. Calculate the minimum value of Uc for which the well can trap a particle with l = 0. This means that SE at Uo > Uc has at least one bound ground state at l = 0 and E < 0. At Ug = Uc the bound state disappears.arrow_forwardIf V0 = 4 eV, E = 1 eV and L = 0.01 nm, determine the probability of a quantum-mechanical electron making its way through this barrier. Express your answer as a percentage. Note: You are being asked to provide a precise calculation, using correct boundary conditions at x = 0 and x = L, and not to use an approximation. Hints for part d) of question 4: The required calculation is very similar to the calculation of the transmission coefficient T for the Finite Potential Barrier given in lectures, but with a different wavenumber in the region to the right of the barrier. After applying the boundary conditions at x = 0 and x = L, you may choose to simplify the expression you find for the transmission coefficient, T. In doing this a useful result is that the modulus-squared of f = αβ e−kLˆ − α ∗β ∗ e kLˆ , where α ≡ ˆk + ik and β ≡ ˆk + iq, is given by |f| 2 = 4(ˆk 2 + k 2 )(ˆk 2 + q 2 ) sinh2 ( ˆkL) + 4ˆk 2 (k + q) 2 . You may use this result to obtain your answer.arrow_forward
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