{{page>wiki:headers:hheader}} %% Instructions: %% (xx = COURSE; yy = TOPIC; zzz = NAME) %% 1. Replace "Title" with the name of the SWBQ. %% 2. Replace "The Question" with the question. %% 3. Change yyswxxzzz everywhere (2x) to the basename of this file. %% 4. Upload the PDF and PPT versions of the question. %% (Make sure to use the same basename.) %% 5. Change xx in the 2-letter acronym in the course footer to reference %% the correct course. %% 6. Change yy in the 2-letter acronym in the topics footer to reference %% the correct topic. %% 7. Add appropriate discussion under "Context" and "Wrap Up". %% 8. Delete these instructions when done! ====== Two Non-Interacting Systems ====== ===== Prompt ===== ** "How many eigenstates does the combined system have?" ** ===== Context ===== This [[strategy:smallwhiteboard:|SWBQ]] introduces two non-interacting identical systems with $N$ eigenstates each, and asks students to determine whether the new system will be extensive or intensive. Students answer $N$ or $2N$. Using spin 1 system, ask for what the eigenstates of two spin-1 particles are. Soon we realize that it's $N^{(2)}=N^2$, which means it's neither extensive nor intensive. ===== Wrap Up ===== {{swbq>eeswnointsys.ppt|Powerpoint slide}} \\\\ {{swbq>eeswnointsys.pdf|PDF slide}} {{page>wiki:footers:courses:eefooter}} {{page>wiki:footers:topics:smfooter}}