Consider a System of 2 IIdentical | Santa Fe College - Edubirdie

University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

296

Pages:

6
Author:

Jabin F.

Prob. Consider a system of & identical three Particles Which Can occupy any ofs energy States having energy En= ne, n= 0, 1, 2. Find the total no. of microstates, accessible Microstates (no. of microstates for each energy of the system). Total no. of macrostat 4 the probability of catch macrostate, If there particles are 1. Classical identical 2. Bosome 3. Fermims. (B-E) (F-D) OS E 26 Sol" classical Identicals Li(Pi(E1) Ei AB 1 A B B A 2 2/9 A B 26 B A 3 3/9 AB A B 36 2 B A 2/9 AB 46 9 L=9 Total no. of microstate s = (gi) ni = (3)² Total no. of macrostates = 5 = 9 (2) Boson (BE) Ed (Inodistinguishable) 26 Ei Ri PiLEI) AA 1 6 A A 1 A A 26 AA 2/6 36 46 AA 16 Total no. of macrostater = 5 74 Total no. of microstates. ~ = (Mi+gi-1)! 4x3x21 ni! (gi-1)! = 21 21 = 6 Σ PC(Ei) = 1 3 Fermions LOSES ZE ni Pi(Ei) A A 26 1/3 AA 1/3 A A 36 1/3 2=3 Total no. of macrostates = 3 Total no. of microstates. aredioborouted in Cofamacrostate in unch both partick = =~ givni 3=3 # η= n= P = P2 The probability of finding the partic In same stata The prob. of finding the particler In Dift. States The probability of a mecrestate in which both Partitles are distributed in diff. singlestates.

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