quadratic equation
... Find the solution to Quadratic equations using graphical means. Find algebraic solutions to quadratic equations. Solve simultaneous equations one quadratic and one linear. Use graphical techniques to estimate the solution of higher order equations Use math software to solve systems of equations. ...
... Find the solution to Quadratic equations using graphical means. Find algebraic solutions to quadratic equations. Solve simultaneous equations one quadratic and one linear. Use graphical techniques to estimate the solution of higher order equations Use math software to solve systems of equations. ...
1 The Hamilton-Jacobi equation
... Imagine that we plot the trajectories of the system in q, p, t space. This implies that someone has solved the dynamics completely, and then given us q(t), p(t) for all possible initial conditions. Now we look at this whole set up and ask if we want some new coordinates to describe the evolution. Ta ...
... Imagine that we plot the trajectories of the system in q, p, t space. This implies that someone has solved the dynamics completely, and then given us q(t), p(t) for all possible initial conditions. Now we look at this whole set up and ask if we want some new coordinates to describe the evolution. Ta ...
Time Evolution in Quantum Mechanics
... This result is very general, and perhaps not all that surprising, but it becomes more revealing if we focus on an important special case, that in which the system is assumed to be isolated i.e. that it has no interaction with any other system – the dynamics of the system are determined solely by its ...
... This result is very general, and perhaps not all that surprising, but it becomes more revealing if we focus on an important special case, that in which the system is assumed to be isolated i.e. that it has no interaction with any other system – the dynamics of the system are determined solely by its ...
Particle in the box
... the edges of the box yields spatial boundary conditions. We seek then solutions of the time-dependent Schrödinger equation: ...
... the edges of the box yields spatial boundary conditions. We seek then solutions of the time-dependent Schrödinger equation: ...