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15 lines
722 B
Plaintext
15 lines
722 B
Plaintext
(1) A general state vector is represented by |Ψ> (a ket)
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(2) A physical observable is represented by an operator A that acts on |Ψ>
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(3) The possible measurements of an observable are the eigenvalues aₙ of the operator A
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(4) The probability of measuring eigenvalue aₙ is given by Paₙ=|<aₙ|Ψ>|²
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(5) After a measurement A that yields aₙ, the quantum system is in a new state that is the normalized projection of the original system ket onto the ket (or kets) corresponding to the result of the measurement:
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|Ψ'> = Pn|Ψ> / √(<Ψ|Pn|Ψ>)
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(6) The time-evolution of the quantum system is determined by the Hamiltonian operator H(t) through the Schrodinger equation
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ιħ(d/dt)|Ψ(t)> = H(t)|Ψ(t)>
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