The discussion focuses on the dependence of wavefunctions in a spherical symmetric potential, specifically addressing how angular components arise despite the potential depending solely on the radial distance (r). Participants highlight that the wavefunction can be expressed in terms of partial waves that incorporate angular variables such as \(\theta\) and \(\phi\). This phenomenon is likened to the Sommerfeld quantization procedure, which also considers central potentials. The conversation emphasizes the importance of understanding the relationship between standing waves and the geometry of the potential.
PREREQUISITESQuantum mechanics students, physicists studying wavefunctions, and researchers interested in spherical symmetric potentials and their implications in quantum systems.
touqra said:For a spherical symmetric potential, the wavefunction can be expanded in terms of partial waves which is dependent on r and [tex]\theta[/tex]. How would this be possible, when the potential only depends on distance from source? Classically, there's no quantity, that could have depend even on [tex]\theta[/tex].