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Unformatted text preview: Postulate 1. The state of the system is fully described by a function Ψ ( , ,..., ) r r t 1 2 , the wavefunction . Postulates of Quantum Mechanics from Atkins and Friedman Postulate 2. Observables are represented by operators chosen to satisfy the commutation relations [q, ] [q, '] [p , ] ' ' ' p i q p q qq q q = = = δ where q and q' each denote one of the coordinates x, y, z and p q and p q' the corresponding linear momenta. Postulate 3. When a system is described by a wavefunction ψ , the mean value of the observable Ω in a series of measurements is equal to the expectation value of the corresponding operator. The expectation value of an operator Ω for an arbitrary state ψ is denoted < Ω > and defined as < = z z Ω Ω ψ ψ τ ψ ψ τ * * d d If the wavefunction is normalized then < = z Ω Ω ψ ψ τ * d 3' When ψ is an eigenfunction of the operator Ω , the determination of the property Ω always yields one result, namely the corresponding eigenvalue ϖ ....
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 Fall '04
 DR.COE
 Quantum Chemistry, Atkins, P. A. M. Dirac

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