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Unformatted text preview: ECE 162A HW 7 Due in Class Tuesday, Nov. 27 1. Distinguishable and Indistinguishable Particles: Counting Consider a system with 5 distinct energy levels and four particles. In how many ways can the 4 particles be made to occupy the 5 energy levels if: (i) The particles are all distinguishable and any number can occupy any energy level? (ii) The particles are all distinguishable but only two can occupy any given level at the same time? (iii) The particles are all identical and any number can occupy any energy level? (iv) The particles are all identical but only two can occupy any given level at the same time? By distinguishable we mean we can label them particle #1, particle #2 2. Many-particle Systems: Symmetry For this problem, build your solutions as linear combinations of terms like ( ) ( ) ... down, spin has #2 particle up, spin has #1 paricle that means ,... , and labels, particle are ... 2, 1, levels; energy are B and A where ,... , ......
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This note was uploaded on 04/11/2008 for the course ECE 162a taught by Professor Johnbowers during the Fall '07 term at UCSB.
- Fall '07