Relativistic theory of one– and two electron systems: valley of
... done just after 1913. But, these relativistic corrections have been done only in the year 1916 by Sommerfeld (in the framework of the elliptical orbits model) and after in the year 1926 by use of the relativistic wave equation established by Dirac after the discovery of the spin electron (1925) by U ...
... done just after 1913. But, these relativistic corrections have been done only in the year 1916 by Sommerfeld (in the framework of the elliptical orbits model) and after in the year 1926 by use of the relativistic wave equation established by Dirac after the discovery of the spin electron (1925) by U ...
An Introduction to Quantum Field Theory, Mrinal Dasgupta
... equation of second order. Taking another derivative in Hamilton’s equations and substituting one into the other, it is easy to convince oneself that the Euler-Lagrange equations and Hamilton’s equations provide an entirely equivalent description of the system. Again, this generalises obviously to th ...
... equation of second order. Taking another derivative in Hamilton’s equations and substituting one into the other, it is easy to convince oneself that the Euler-Lagrange equations and Hamilton’s equations provide an entirely equivalent description of the system. Again, this generalises obviously to th ...
Uniqueness of the ground state in weak perturbations of non
... would expect, however, that the uniqueness should hold regardless of this invariance, as long as the perturbation is uniformly weak enough. We give a different proof, where the translational invariance plays no role. We consider ground states with most general boundary conditions in a finite volume ...
... would expect, however, that the uniqueness should hold regardless of this invariance, as long as the perturbation is uniformly weak enough. We give a different proof, where the translational invariance plays no role. We consider ground states with most general boundary conditions in a finite volume ...
Quasi-exact treatment of the relativistic generalized
... for potential (1) was transformed into a confluent Heun equation and a simple and efficient algorithm to solve the problem numerically irrespective of the values of the parameters was presented. In addition, the 3D case of the potential was studied for the quasi-polynomial solutions in cases where t ...
... for potential (1) was transformed into a confluent Heun equation and a simple and efficient algorithm to solve the problem numerically irrespective of the values of the parameters was presented. In addition, the 3D case of the potential was studied for the quasi-polynomial solutions in cases where t ...
On the Derivation of the Time-Dependent Equation of Schrodinger
... probably merely a surrogate for a fourth-order real wave equation applying to non-conservative systems. In Sec. 4 we will return to this problem of why the wavefunction is complex. The first application of Eq. (15) in Ref. 7 was to the interaction of an atom with a classical electric field to give a ...
... probably merely a surrogate for a fourth-order real wave equation applying to non-conservative systems. In Sec. 4 we will return to this problem of why the wavefunction is complex. The first application of Eq. (15) in Ref. 7 was to the interaction of an atom with a classical electric field to give a ...
cosmological perturbation theory - The Institute of Mathematical
... The model is based on the Friedman-Robertson-Walker [FRW] metric [5]. There are two important aspects for the metric ansatz, homogeneity and isotropy. That the universe is homogeneous is assumed and the input of isotropy is observationally motivated [6]. This is also called the Cosmological Principl ...
... The model is based on the Friedman-Robertson-Walker [FRW] metric [5]. There are two important aspects for the metric ansatz, homogeneity and isotropy. That the universe is homogeneous is assumed and the input of isotropy is observationally motivated [6]. This is also called the Cosmological Principl ...
PDF
... does not apply to these entangled decompositions of , yet the role of entanglement is selfevident in this case. Hence, practically, there are two different ways to build “fast” separable states through classical correlations: either starting from the separable configurations (8) in which only one of ...
... does not apply to these entangled decompositions of , yet the role of entanglement is selfevident in this case. Hence, practically, there are two different ways to build “fast” separable states through classical correlations: either starting from the separable configurations (8) in which only one of ...
Schrödinger Theory of Electrons in Electromagnetic Fields: New
... for the determination of the exact wave functions and energies of the system; (d) with the Schrödinger equation written in self-consistent form, the Hamiltonian now admits via the Lorentz field a new term that explicitly involves the external magnetic field. The new understandings are explicated for ...
... for the determination of the exact wave functions and energies of the system; (d) with the Schrödinger equation written in self-consistent form, the Hamiltonian now admits via the Lorentz field a new term that explicitly involves the external magnetic field. The new understandings are explicated for ...
On two possible definitions of the free energy for collective variables
... Free energy is probably one of the most important quantities in analysing molecular systems [1]. If certain collective variables are given which monitor, e.g., transitions between molecular conformations, one can define a free energy associated with these collective variables as the logarithm of the ...
... Free energy is probably one of the most important quantities in analysing molecular systems [1]. If certain collective variables are given which monitor, e.g., transitions between molecular conformations, one can define a free energy associated with these collective variables as the logarithm of the ...
