sum1_ssp - Summary 0. Quantum mechanics Axioms: 1) State of...

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Summary S-1 0. Quantum mechanics Axioms: 1) State of a physical system state function ψ 2) Physical quantity A linear Hermitian operator A 3) State in which A has a sharp value ψ with A ψ = a ψ 4) ψ= cf ii i Contribution of f i to measurable quantities given by contribution to 2 . Average value of quantity A in state ψ : A rr d r d r == ψψ A A 2 3 3 * * () () () Position operator: r = r eigenfunction to eigenvalue r 00 :( ) δ ∝−
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Summary S-2 Momentum operator: p ψ =− ∇ i h eigenfunction to eigenvalue pe e ipr ikr : ∝= h plane waves with wave vector kp = / h and de Broglie wave length λ= hp / Probability density: () r 2 Normalization: rd r V = 2 3 1 probability of presence in V Wave packet: xf p e d p ipx = (1-dim), superposition of plane waves Heisenberg principle of uncertainty: ∆∆ xp h x 1 2 Energy time uncertainty:
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This note was uploaded on 01/19/2010 for the course MATERIALS M504 taught by Professor Adelung during the Spring '02 term at Uni Kiel.

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sum1_ssp - Summary 0. Quantum mechanics Axioms: 1) State of...

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