Duru and Kleinert developed their namesake transformation in order to apply the path integral to this problem. A relativistic correction to this system is required to explain contraction effects at higher quantum numbers, and arises because one of its components travel at one-one-thirty-seventh the speed of light. The wavefunctions for a state n of
Duru and Kleinert developed their namesake transformation in order to apply the path integral to this problem. A relativistic correction to this system is required to explain contraction effects at higher quantum numbers, and arises because one of its components travel at one-one-thirty-seventh the speed of light. The wavefunctions for a state n of this system exhibit a total of n minus 1 nodes; the radial component of that wavefunction is represented by a generalized Laguerre polynomial while the angular component is given by a spherical harmonic. The energy levels of this system are inversely proportional to n squared, and those energies have a proportionality constant of 13.6. This system is subject to the Coloumb potential, and it is able to reproduce the Rydberg formula. For 10 points, name this quantum mechanical system which consists of a single electron orbiting a single proton.
Duru and Kleinert developed their namesake transformation in order to apply the path integral to this problem.
hydrogen atom [or hydrogen-like atom]