196x Filetype PPT File size 0.45 MB Source: www.usna.edu
C Nave @ gsu.edu http://hyperphysics.phy-astr.gsu.edu/hbase/quacon.html#quacon Outline • Postulates of QM • Picking Information Out of Wavefunctions – Expectation Values – Eigenfunctions & Eigenvalues • Where do we get wavefunctions from? – Non-Relativistic – Relativistic • What good-looking s look like • Techniques for solving the Schro Eqn – Analytically – Numerically – Creation-Annihilation Ops Postulates of Quantum Mechanics • The state of a physical system is completely described by a wavefunction . • All information is contained in the wavefunction • Probabilities are determined by the overlap of wavefunctions | 2 a b Postulates of QM • Every measurable physical quantity has a corresponding operator. • The results of any individ measurement yields one of the eigenvalues n of the corresponding operator. • Given a Hermetian Op with eigenvalues and eigenvectors , n n the probability of measuring the eigenvalue is n * d3r 2 or 2 n n Postulates of QM • If measurement of an observable gives a result n , then immediately afterward the system is in state . n • The time evolution of a system is given by i d H • . dt corresponds to classical Hamiltonian
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