User Tools

Site Tools


equations:hamilton-jacobi_equation

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Last revision Both sides next revision
equations:hamilton-jacobi_equation [2018/05/03 12:54]
46.229.168.66 ↷ Links adapted because of a move operation
equations:hamilton-jacobi_equation [2018/05/03 13:04]
jakobadmin ↷ Links adapted because of a move operation
Line 15: Line 15:
 <​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:​canonical_quantum_mechanics|quantum mechanics]]. If a quantum amplitude is expressed in the+[[theories:​quantum_mechanics:​canonical_quantum_mechanics|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.txt · Last modified: 2018/05/05 12:29 by 63.143.42.253