New Higher Excited Energy Levels of Rydberg States for Weakest Bound Potential Model Theory: Extended Quantum Mechanics

Abstract

In present research paper, a Bopp's shift method and standard perturbation theory are used to find exact analytical solutions of the noncommutative 3-dimensional space phase (NC: 3D-RSP) for modified time-independent Schrödinger equation of weakest bound electron potential model (WBEPM) theory for neutral indium. We have obtained the explicit higher energy eigenvalues for th n excited states. Furthermore, the obtained corrections of energies are depended on the discreet atomic quantum numbers (

Spectroscopic properties of lithium like ions: Prospective elements for quantum computation

“…These S e and P o utilized to write the Schrodinger equation of one electron system [32]. The results obtained within the frame work of WBEPM theory are essentially good and they have deviations of less than 1cm -1 for the allowed transitions discussed in previous literature published [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

“…In weakest bound electron potential model (WBEPM) theory the ideas of quantum defects, foreign level configuration mixing, spectral Rydberg energy series and dependency of Rydberg states series on azimuthal quantum number was also presented. Based on the hypothetical ideas present in WBEPM theory various analytical investigations were performed for different elements neutral and ionic states successfully [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

“…This method permits one to succeed in obtaining simple expressions of the Rydberg energies and Radial expected values in connection with an understanding of the importance of WBE-NWBE's correlation effects in atoms. The advantages of the WBEPM theory have been demonstrated previously [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. In this paper, this method is applied to the computation of the radial expectation values of Lithiumlike ions (Be II, B III and C IV) with their quantum defects and low-lying and high-lying spectral Rydberg energy sequence in 1s 2 ns 2 S e 1/2 and 1s 2 np 2 P o 1/2 up to n=50 electron's state.…”