Chapter 13 (I)

Chapter 13 (I) - Chapter 13 Classical and Quantum...

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Chapter 13 Classical and Quantum Statistics ) , ( p r r r p r r r In this chapter, we are interested in determining the equilibrium configuration for a microcanonical ensemble subject to Eqs. (12.7) and (12.8), i.e., the total number of particles is N and the total energy of particles is U. Our goal is to find the occupation number of each energy level, (N 1 , N 2 ,..N n ), corresponding to the maximum TD probability ω max . To do this, we need to know the details describing the states of particles at an energy level. In classical mechanics, particles are described by their translational states , is the general coordinate, is the general momentum. Both and can be determined. Thus, classical particles are distinguishable by their motion states. The TD statistics describing classical particles is called the classical statistics , i.e., Boltzmann statistics . r r p r
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In contrast, in quantum mechanical description, particles are indistinguishable since their motion cannot be traced. Moreover, quantum particles may have spin as well.
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Chapter 13 (I) - Chapter 13 Classical and Quantum...

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