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Exact solution of the non-Hermitian eigenvalue problem for electron orbital excitations in a hydrogen atom
- Source :
- Canadian Journal of Physics. 99:387-389
- Publication Year :
- 2021
- Publisher :
- Canadian Science Publishing, 2021.
-
Abstract
- A new way of solving the spectral problem to describe electronic excitations is demonstrated for a hydrogen atom. The applied methodology is based formally on the idea of electronic excitation description without introducing boundary conditions to the eigenvalue problem for the square of the angular momentum operator. The eigenvalues of such an operator are considered as complex in general. As a result, the spectral problem for the Schrödinger equation becomes non-Hermitian with complex energy values. The imaginary part of the total energy helps to estimate the excitation lifetime within a unified scheme. The existence of the Stark shift of atomic energy levels and the collapse of the atomic spectra are confirmed.
- Subjects :
- Physics
General Physics and Astronomy
Electron orbital
02 engineering and technology
Hydrogen atom
010402 general chemistry
021001 nanoscience & nanotechnology
01 natural sciences
Hermitian matrix
0104 chemical sciences
Exact solutions in general relativity
Quantum mechanics
0210 nano-technology
Excitation
Eigenvalues and eigenvectors
Subjects
Details
- ISSN :
- 12086045 and 00084204
- Volume :
- 99
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Physics
- Accession number :
- edsair.doi...........aa5a0e6585073c0baa090aee5703be4b