- #1

Pradyuman

- 6

- 0

in chapter 4 The elements of quantum mechanics it is written

What does the wave-packet and the refractive index implies here.How to interpret this?Consider a many dimensional space with as many coordinates as the system considered as position coordinates. Every arrangement of the positions of the particles of the system corresponds to a point in this multidimensional configuration space. This point will move in the course of time tracing out a curve by which the motion of the system can be completely described classically. There exists a fundamental correspondence between the classical motion of this point, the system point in configuration space, and the motion of a wave packet also considered in configuration space, if only we assume that the index of refraction for these waves is ##\sqrt{2m(E-V)}\over E##, where ##E## is the total energy of the system;##V## is the potential energy as a function in the configuration space.