Widdekind Posted March 11, 2010 Share Posted March 11, 2010 In Classical physics, particles are pure points, which form World-lines through Spacetime. Conversely, Quantum physics pictures particles as Wave Functions which are extended in space. Are Wave Functions extended in time, too ? Link to comment Share on other sites More sharing options...
ajb Posted March 11, 2010 Share Posted March 11, 2010 Well in general they persist for more than an instant. Link to comment Share on other sites More sharing options...
swansont Posted March 11, 2010 Share Posted March 11, 2010 Schrödinger's equation is time-dependent. Link to comment Share on other sites More sharing options...
theoriginal169 Posted March 17, 2010 Share Posted March 17, 2010 (edited) [math]\frac{\delta}{\delta t}[/math][math]\int[/math][math]\psi[/math] Edited March 17, 2010 by swansont fix LaTEx syntax error Link to comment Share on other sites More sharing options...
Amr Morsi Posted March 25, 2010 Share Posted March 25, 2010 If the potential is not a function of time (i.e. function of space only), then schrodinger equation will be solved by separation of variables, and the time function will be only a phase function (exp(-iE*t/hbar)). However, if the potential is function of time, then the solution will be more complicated and the maximum of the probability density function will be moving with time through space; which gives the analogy to motion in classical physics. Link to comment Share on other sites More sharing options...
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