Scattering Matrix Formulation of the Total Photoionization of Two
... doubly-excited states could be labelled by approximate quantum numbers that could be understood in terms of group-theoretical quantities [4,5]. Further progress in both experiment and numerical methods made it possible to observe irregular fluctuations in the photoionization spectrum beyond the regi ...
... doubly-excited states could be labelled by approximate quantum numbers that could be understood in terms of group-theoretical quantities [4,5]. Further progress in both experiment and numerical methods made it possible to observe irregular fluctuations in the photoionization spectrum beyond the regi ...
Lie point symmetries: An alternative approach to wave
... arose as polynomials times the basis solution. The solutions obtained are automatically solutions of the time-dependent equation. In our demonstration of the method to construct the solutions we simply used only the second ‘solution’ symmetry. However, one could equally use Γ3 to construct additiona ...
... arose as polynomials times the basis solution. The solutions obtained are automatically solutions of the time-dependent equation. In our demonstration of the method to construct the solutions we simply used only the second ‘solution’ symmetry. However, one could equally use Γ3 to construct additiona ...
Trajectory-Wave Approach to Electron Dynamics in Hydrogen Atom
... occur along a trajectory the presence of which is a reflection of the existence of a particle, as well as it is assumed that any motion is defined by a wave V(x,t). It is assumed that there is an explicit relationship between the trajectory and wave equations of the electron, which are established o ...
... occur along a trajectory the presence of which is a reflection of the existence of a particle, as well as it is assumed that any motion is defined by a wave V(x,t). It is assumed that there is an explicit relationship between the trajectory and wave equations of the electron, which are established o ...
Dispersion relation of the nonlinear Klein
... on the solutions, providing simple and efficient approximations. Although for weak nonlinearities, this task can be accomplished by applying perturbative methods 共corresponding to performing an expansion in a small parameter which governs the strength of the nonlinearity itself兲, the situation is mo ...
... on the solutions, providing simple and efficient approximations. Although for weak nonlinearities, this task can be accomplished by applying perturbative methods 共corresponding to performing an expansion in a small parameter which governs the strength of the nonlinearity itself兲, the situation is mo ...
Chapter 4 - Fredericksburg City Public Schools
... nucleus inside which electrons are allowed. No more than 2 electrons can ever be in 1 orbital. The orbital just defines an “area” where you can find an electron. What is the chance of finding an electron in the nucleus? Yes, of course, it’s zero. There aren’t any electrons in the ...
... nucleus inside which electrons are allowed. No more than 2 electrons can ever be in 1 orbital. The orbital just defines an “area” where you can find an electron. What is the chance of finding an electron in the nucleus? Yes, of course, it’s zero. There aren’t any electrons in the ...
Quasi-exact treatment of the relativistic generalized
... r0 = − βn2 g/2 − (b + 1)(κ + b + 2ν + βn ωa 2 + 1/2) . Thus, by Eqs. (14), (17), and (23), we immediately have the energy equation ...
... r0 = − βn2 g/2 − (b + 1)(κ + b + 2ν + βn ωa 2 + 1/2) . Thus, by Eqs. (14), (17), and (23), we immediately have the energy equation ...
The Properties of Ion-Water - Indiana University Bloomington
... Small molecular clusters provide a model system for exploring solvation and thermodynamic properties, which can give important insight into macroscopic phenomena. They are also important in their own right for their role in atmospheric chemistry and for understanding molecular properties in the nano ...
... Small molecular clusters provide a model system for exploring solvation and thermodynamic properties, which can give important insight into macroscopic phenomena. They are also important in their own right for their role in atmospheric chemistry and for understanding molecular properties in the nano ...
Alpha-helical regions of the protein molecule as
... Foremost, we need to determine the model of description of the spatial structure of the alpha-helix. Since it is considered as a molecular crystal, the nearest neighbor approximation is used, which is typical for such crystals. However, as seen from Figure 1b, the nearest neighbors for some peptide ...
... Foremost, we need to determine the model of description of the spatial structure of the alpha-helix. Since it is considered as a molecular crystal, the nearest neighbor approximation is used, which is typical for such crystals. However, as seen from Figure 1b, the nearest neighbors for some peptide ...
The Wave Equation - NC State University
... The appearance of the wave functions Note that the wave functions have nodes (i.e. the locations where they cross zero). The number of nodes is n-1 where n is the quantum number for the wave function. The appearance of nodes is a general feature of solutions of the wave equation in bound states. By ...
... The appearance of the wave functions Note that the wave functions have nodes (i.e. the locations where they cross zero). The number of nodes is n-1 where n is the quantum number for the wave function. The appearance of nodes is a general feature of solutions of the wave equation in bound states. By ...
The path integral representation kernel of evolution operator in
... generalization of this model is the Merton-Garman model, where there was suggested [6, 7, 9] a suitable dynamics equation of the option price. Just like the Schrodinger equation, the MertonGarman equation is of evolution type. Hence, the path integral method is well fit for presenting the correspond ...
... generalization of this model is the Merton-Garman model, where there was suggested [6, 7, 9] a suitable dynamics equation of the option price. Just like the Schrodinger equation, the MertonGarman equation is of evolution type. Hence, the path integral method is well fit for presenting the correspond ...