Quantum Mechanics and Atomic Physics
... If n ≠ kk, but En= Ek, then we say that the eigenfunctions are degenerate Since En-Ek = 0, 0 the integral need not be zero But it turns out that we can always obtain another set of Ψ’s, linear combinations of the originals, such that the new Ψ’s are orthogonal. ...
... If n ≠ kk, but En= Ek, then we say that the eigenfunctions are degenerate Since En-Ek = 0, 0 the integral need not be zero But it turns out that we can always obtain another set of Ψ’s, linear combinations of the originals, such that the new Ψ’s are orthogonal. ...
The Hydrogen Atom - Physics
... Remark: Schrödinger began his quest for a theory of atomic physics with Maxwell’s Equations, in particular, the eikonal form of these equations. It is no surprise that his theory inherits key characteristics of electromagnetic theory: solutions that are amplitudes, the superposition principle for ...
... Remark: Schrödinger began his quest for a theory of atomic physics with Maxwell’s Equations, in particular, the eikonal form of these equations. It is no surprise that his theory inherits key characteristics of electromagnetic theory: solutions that are amplitudes, the superposition principle for ...
Optical potential in electron
... Thus the first order optical potential provides the static (and exchange) potential generated by nuclei and fixed bound state wave function of the molecule: ...
... Thus the first order optical potential provides the static (and exchange) potential generated by nuclei and fixed bound state wave function of the molecule: ...
CHEMISTRY 120A FALL 2006
... ultra-violet regions of the spectrum), and then various laser-based pump-probe techniques for studying photo-dissociation and photo-chemistry in general. Quantum mechanical perturbation theory will be applied to Nuclear Magnetic Resonance (NMR) spectroscopy, showing how the characteristic multiplet ...
... ultra-violet regions of the spectrum), and then various laser-based pump-probe techniques for studying photo-dissociation and photo-chemistry in general. Quantum mechanical perturbation theory will be applied to Nuclear Magnetic Resonance (NMR) spectroscopy, showing how the characteristic multiplet ...
The relaxation-time von Neumann-Poisson equation
... This paper is concerned with the relaxation-time von Neumann-Poisson (or quantum Liouville-Poisson) equation in three spatial dimensions which describes the self-consistent time evolution of an open quantum mechanical system that include some relaxation mechanism. This model and the equivalent relax ...
... This paper is concerned with the relaxation-time von Neumann-Poisson (or quantum Liouville-Poisson) equation in three spatial dimensions which describes the self-consistent time evolution of an open quantum mechanical system that include some relaxation mechanism. This model and the equivalent relax ...
Non-Hermitian Rayleigh-Schrödinger Perturbation Theory
... ing [22, 23, 24, 25], or the use of a complex absorbing potential (CAP) [26, 27, 28]. In the latter two approaches, the Siegert energy of a resonance is found as a discrete eigenvalue of a modified, non-Hermitian Schrödinger equation. The effective Siegert wave function in this eigenvalue problem i ...
... ing [22, 23, 24, 25], or the use of a complex absorbing potential (CAP) [26, 27, 28]. In the latter two approaches, the Siegert energy of a resonance is found as a discrete eigenvalue of a modified, non-Hermitian Schrödinger equation. The effective Siegert wave function in this eigenvalue problem i ...
Atomic Term Symbols
... respectively, 9 states in total. A 2 D level (S=1/2, L=2), splits into J=5/2 (6 states) and J=3/2 (4 states), hence 10 states in total. The atomic term values are 2 D5/ 2 , 2 D3/ 2 . You may notice that the splittings discussed for the hydrogen atom follow this rule also. The energy splittings betwe ...
... respectively, 9 states in total. A 2 D level (S=1/2, L=2), splits into J=5/2 (6 states) and J=3/2 (4 states), hence 10 states in total. The atomic term values are 2 D5/ 2 , 2 D3/ 2 . You may notice that the splittings discussed for the hydrogen atom follow this rule also. The energy splittings betwe ...