The Determination of Atomic Wave Functions

Jens C. Zorn, E. A. Zorn

Bambang Supriadi, Alex Harijanto, M Maulana +3 more

The simplest atom consisting of a proton and an electron is a hydrogen atom. The energy level and the probability of finding an electron in a hydrogen atom can be determined based on the function of radial wave. The function of radial wave of a hydrogen atom is influenced by the principal quantum number ( n ) and the orbital quantum number ( l ). Completion of the function of radial wave of a hydrogen atom in the principal quantum numbers( n ) 4 and 5 uses the time-independent Schrodinger equation approach in spherical coordinates, variable separation method and uses the associated Laguerre function. The normalized of the function of radial wave of a hydrogen atom R nl ( r ) at n = 4 produces four wave functions:R 40 ( r ); R 41 ( r ); R 42 ( r ); R 43 ( r ), whereas at n = 5 produces five wave functions:R 50 ( r ); R 51 ( r ); R 52 ( r ); R 53 ( r ); R 54 ( r ). The results of this research in the form of the functions of radial wave of hydrogen atom can be used to determine the behavior of electron in a hydrogen atom.

M. J. Seaton, G. Peach

Zheng-Min Wang, Daniel S. Elliott

We establish a technique for the determination of the phase difference between even and odd parity continuum wave functions in atoms. This determination is based upon our detailed measurements of a quantum mechanical interference between two photoionization processes using a two-color laser field. We present our measurement of the phase difference between the continuum p and d waves in atomic rubidium, which is in good agreement with the expected value.

David M. Ceperley

Masami Yasuda, T. Kishimoto, Masao Takamoto +1 more

We have investigated the photoassociation (PA) spectra of ultracold $^{88}$Sr atoms near the $5s^2 ^1S_0+5s5p ^1P_1$ atomic asymptote. The intensity modulation of the PA lines was used to reconstruct the ground-state scattering wave function, whose nodal point inferred the s-wave scattering length of $a=1.1(2)$ nm. The observed PA resonances also determined a precise lifetime of the $^1P_1$ state to be 5.263(4) ns.