On the connection between the radial momentum operator and the Hamiltonian in n dimensions

Details On the connection between the radial momentum operator and the Hamiltonian in n dimensions On the connection between the radial momentum operator and the Hamiltonian in n dimensions

2000-09-11

arxiv.org/abs/quant-ph/0009046v2

European Journal of Physics Vol. 22 no. 4 p. 337

Physics

Quantum Physics

Some text and several references added, to appear in the European Journal of Physics

Scientific paper

10.1088/0143-0807/22/4/308

The radial momentum operator in quantum mechanics is usually obtained through canonical quantization of the (symmetrical form of the) classical radial momentum. We show that the well known connection between the Hamiltonian of a free particle and the radial momentum operator $\hat{H}=\hat{P}_{r}^2/2m+ $\hat{L}^2$}/2mr^{2}$ is true only in one or three dimensions. In general, an extra term of the form $\hbar^{2}(n-1)(n-3)/ 2m \cdot 4r^{2}$ has to be added to the Hamiltonian.

Affiliated with

Also associated with

No associations

Rating

On the connection between the radial momentum operator and the Hamiltonian in n dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the connection between the radial momentum operator and the Hamiltonian in n dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the connection between the radial momentum operator and the Hamiltonian in n dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-615288