237module_log12

237module_log12 - Module log(1012) the rockin module...

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Module log(10 12 ) – the rockin’ module Getting Smarted 1. A single particle hydrogenic wave function is expressed as " # = n , l , m l , m s a. What does it mean for two wave functions, and , to have the same spatial wave functions? b. What does it mean for two wave functions, and , to have the same spin? c. If two electrons are distinguishable, how should we write their combined, normalized two-particle wave functions? d. For two single particle wave functions, and , that have the same spatial wave functions and different spins, write the symmetric combined, normalized wave function, . e. For two wave functions, and , with the same spatial wave functions and different spins, write the antisymmetric combined, normalized wave function, . f. Correctly label your answers to c and d as either a fermion or boson. g. Why is the product of two single-particle wave functions, , satisfy the two- particle Schrödinger wave equation, but not represent a quantum system of fermions or bosons? What system does this correctly model? h. Use symmetrization arguments to explain why fermions satisfy an exclusion principle while bosons may form a BEC. Disgusting Questions 1. Three non-interacting muons are in a 1-D box of length L. (Ignore their spin…for now.) a. What is the general form of the single-particle wave function? b.
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237module_log12 - Module log(1012) the rockin module...

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