Lecture+C5-1

Lecture+C5-1 - System Single particle More than one...

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Unformatted text preview: System Single particle More than one particle Hamiltonian H H1+H2+H12+ Time-dependent wave function Time-independent wave function Hamiltonian of 1st particle Hamiltonian of 2nd particle interaction term Chapter 5 Identical Particle ( 29 , r t r ( 29 1 2 3 , , , , r r r t ur ur ur L ( 29 r r ( 29 1 2 3 , , , r r r ur ur ur L Two distinguished particles system interaction term sometimes negligible state a state b ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 1 2 12 1 2 1 1 2 2 1 1 2 2 1 2 1 2 1 2 1 2 , a a b b a b a b H H H H H H H r E r H r E r H r r H r r E E r r = + + + = = = = + r r r r ur ur ur ur ur ur ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 1 2 1 2 1 2 1 2 1 2 , , a b a b H r r E E r r r r r r = + = ur ur ur ur ur ur ur ur Two identical particle system without spin I. Symmetrization requirement 2 identical particles are indistinguishable Why Reading: Can Quantum-mechanical Description of physical Reality be considered complete? N. Bohr So. No measurement can tell them apart! Observable Observable ( 29 ( 29 ( 29 ( 29 2 2 1 2 2 1 1 2 2 1 , , , , r r r r r r r r = = ur ur ur ur ur ur ur ur Exchange operator P ( 29 ( 29 ( 29 ( 29...
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This note was uploaded on 12/13/2011 for the course PHYS 113B taught by Professor Staff during the Fall '11 term at UC Irvine.

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Lecture+C5-1 - System Single particle More than one...

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