equations:hamilton-jacobi_equation
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equations:hamilton-jacobi_equation [2018/05/03 13:04] jakobadmin ↷ Links adapted because of a move operation |
equations:hamilton-jacobi_equation [2018/05/05 12:29] (current) 63.143.42.253 ↷ Links adapted because of a move operation |
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| <blockquote>The Hamilton-Jacobi equation is essentially a dispersion relation for | <blockquote>The Hamilton-Jacobi equation is essentially a dispersion relation for | ||
| a complex wave. This is easy to see in the context of non-relativistic | a complex wave. This is easy to see in the context of non-relativistic | ||
| - | [[theories:quantum_mechanics:canonical_quantum_mechanics|quantum mechanics]]. If a quantum amplitude is expressed in the | + | [[theories:quantum_mechanics:canonical|quantum mechanics]]. If a quantum amplitude is expressed in the |
| form ψ = Rexp(iS/h¯), then the Hamilton-Jacobi equation relates | form ψ = Rexp(iS/h¯), then the Hamilton-Jacobi equation relates | ||
| p = ∂S/∂q to E = −∂S/∂t by the condition p2(q) = 2m(E −V). | p = ∂S/∂q to E = −∂S/∂t by the condition p2(q) = 2m(E −V). | ||
equations/hamilton-jacobi_equation.1525345462.txt.gz · Last modified: 2018/05/03 11:04 (external edit)
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