Unformatted text preview: t t x i t x x V x t x m ∂ Ψ ∂ = Ψ + ∂ Ψ ∂ − ) , ( ) , ( ) ( ) , ( 2 2 2 2 h h . where 1 − = i and s J h ⋅ × = = − 34 10 054572 . 1 2 π h . The wave function is a complex function and Schrödinger’s equation is analogous to Newton’s equation. Given suitable initial conditions (typically Ψ (x,0) ), one can solve Schrödinger’s equation for Ψ (x,t) for all future times, just as in classical physics, Newton’s equation determines x(t) for all future times. Schrödinger Equation: 1. Ignores the creation and annihilation of particles, but photons may be emitted and absorbed. 2. Assumes that all relevant velocities are much less than the speed of light ( i.e. nonrelativistic). Newton’s Equation! Schrödinger’s Equation!...
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 Spring '07
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 Physics, mechanics, Energy, Kinetic Energy, Classical Mechanics vs Quantum Mechanics

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