1. (10 points) Making use of the definition of the so-called quasiprobability distribution in one-dimensional space...
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1. (10 points) Making use of the definition of the so-called quasiprobability distribution in one-dimensional space W(x.p) = ²¹/(x+1²\P\x − x'} (1) for a quantum mechanical state ) determined by its density matrix = (1, prove the following marginality conditions dar' e Th 8 dxW(x,p) = daw (p)|² 2Th 4 dpW (r.p) = v(x)1². where (r) and (p) are, respectively, the position and momentum space wave func- tions of the state ). (2) 1. (10 points) Making use of the definition of the so-called quasiprobability distribution in one-dimensional space W(x.p) = ²¹/(x+1²\P\x − x'} (1) for a quantum mechanical state ) determined by its density matrix = (1, prove the following marginality conditions dar' e Th 8 dxW(x,p) = daw (p)|² 2Th 4 dpW (r.p) = v(x)1². where (r) and (p) are, respectively, the position and momentum space wave func- tions of the state ). (2)
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