O'Reilly logo

Quantum Mechanics with Basic Field Theory by Bipin R. Desai

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

4  Free particles

After discussing the basic definitions and formalism in quantum mechanics, it is now time for dynamical calculations. We will do perhaps the easiest and yet very informative case of free particles. What we learned in the previous chapters will now be put into play. We will obtain the free particle wavefunction in one dimension and in three dimensions. For the latter case we will consider both the Cartesian and spherical coordinate systems and finally, in the spherical system, we will introduce the angular momentum operator and spherical harmonics.

4.1 Free particle in one dimension

 

In the absence of any forces, that is, with the potential V = 0, the Hamiltonian for a particle of mass m is given entirely by the kinetic energy ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required