a) Calculate the splitting function of a single harmonic oscitor. What is the splitting function of N oscilator? b) Obtain the average energy of the T-temperature N oscilator from the split function. c) Calculate the heat capacity of this system and T→ 0 ve T →∞ in limits, what is the heat capacity the system? Are these results in line with the experiment? Why? What's the right theory about that? d) Find the Helmholtz free energy of this system. e) which gives the entropy of this system as a function of temperature.

a) Calculate the splitting function of a single harmonic oscitor. What is the splitting function of N oscilator? b) Obtain the average energy of the T-temperature N oscilator from the split function. c) Calculate the heat capacity of this system and T→ 0 ve T →∞ in limits, what is the heat capacity the system? Are these results in line with the experiment? Why? What's the right theory about that? d) Find the Helmholtz free energy of this system. e) which gives the entropy of this system as a function of temperature.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter14: Special Theory Of Relativity

Section: Chapter Questions

Problem 14.37P

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