1 Why do we need position operator in quantum theory?
... is accomplished, the results of QED are formulated exclusively in momentum space and the theory does not contain space-time at all. In particular, as follows from the Feynman diagram for the one-photon exchange, in the nonrelativistic approximation the electron can be described in the potential form ...
... is accomplished, the results of QED are formulated exclusively in momentum space and the theory does not contain space-time at all. In particular, as follows from the Feynman diagram for the one-photon exchange, in the nonrelativistic approximation the electron can be described in the potential form ...
Exact solutions of effective
... Although the treatment of effective-mass Schrödinger equations with nonconstant mass is difficult, some exactly solvable models for such systems have been recently introduced [7-11]. However, from the physics point of view, none of these works seem completely convincing. For example, Dekar and his ...
... Although the treatment of effective-mass Schrödinger equations with nonconstant mass is difficult, some exactly solvable models for such systems have been recently introduced [7-11]. However, from the physics point of view, none of these works seem completely convincing. For example, Dekar and his ...
Quantum and Transport Mobilities of Electrons in GaAs/Ga1±xAlxAs
... a function of 1/B (i.e., the Dingle plot) for the MQW sample with Lz = 145 A straight line in the figure represents the least-squares fit to the magnetoresistance data only, the slope of which is used to determine the quantum lifetime tq of 2D electrons (Table 2). We note that, for each MQW sample s ...
... a function of 1/B (i.e., the Dingle plot) for the MQW sample with Lz = 145 A straight line in the figure represents the least-squares fit to the magnetoresistance data only, the slope of which is used to determine the quantum lifetime tq of 2D electrons (Table 2). We note that, for each MQW sample s ...
On a Quantum Version of Pieri`s Formula
... of quantum Monk’s formula from [FGP]. In our approach we follow Fomin and Kirillov [FK], who constructed a certain quadratic algebra En equipped with a family of pairwise commuting “Dunkl elements,” which generate a subalgebra canonically isomorphic to the cohomology ring of complex flag manifold. T ...
... of quantum Monk’s formula from [FGP]. In our approach we follow Fomin and Kirillov [FK], who constructed a certain quadratic algebra En equipped with a family of pairwise commuting “Dunkl elements,” which generate a subalgebra canonically isomorphic to the cohomology ring of complex flag manifold. T ...
MATH 10005 SOLVING SYSTEMS OF LINEAR EQUATIONS KSU
... • System of linear equations: consists of two or more linear equations with the same variables. • Consistent: The system is consistent if there is exactly one solution. • Inconsistent: The system is inconsistent if there is no solution. This happens when the two equations represent parallel lines . ...
... • System of linear equations: consists of two or more linear equations with the same variables. • Consistent: The system is consistent if there is exactly one solution. • Inconsistent: The system is inconsistent if there is no solution. This happens when the two equations represent parallel lines . ...
Dynamical Symmetries of Planar Field Configurations
... symmetry group of the field theory with A to be U(2) having the compact group manifold M (U(2)) ∼ = S 3 , as it seems obvious from the defining quadratic form (3.12). However, the dynamical symmetry group is again U(1, 1). This result on continuous global symmetries hidden in (2.3) and (3.11) looks ...
... symmetry group of the field theory with A to be U(2) having the compact group manifold M (U(2)) ∼ = S 3 , as it seems obvious from the defining quadratic form (3.12). However, the dynamical symmetry group is again U(1, 1). This result on continuous global symmetries hidden in (2.3) and (3.11) looks ...
Second Lecture: Towards an implementation of surface hopping
... 2. Overview of the available approaches Second Lecture: Towards an implementation of surface hopping dynamics 1. The NEWTON-X program 2. Practical aspects to be adressed Third Lecture: Some applications: theory and experiment • On the ambiguity of the experimental raw data • On how the initial surfa ...
... 2. Overview of the available approaches Second Lecture: Towards an implementation of surface hopping dynamics 1. The NEWTON-X program 2. Practical aspects to be adressed Third Lecture: Some applications: theory and experiment • On the ambiguity of the experimental raw data • On how the initial surfa ...
Electron binding energy for atoms : relativistic corrections
... EDF for Cu isoelectronic series, we obtain the same result (Table IV). The estimate of EDF is made using equations (10), (12j, (13), (17), (30) and (38). The Pade-approximants are used at NIZ - 1, giving the exact neutral atom values. The analysis performed shows that within the statistical theory w ...
... EDF for Cu isoelectronic series, we obtain the same result (Table IV). The estimate of EDF is made using equations (10), (12j, (13), (17), (30) and (38). The Pade-approximants are used at NIZ - 1, giving the exact neutral atom values. The analysis performed shows that within the statistical theory w ...
EUBET 2014: Applications of effective field theories to particle
... semiclassical Foldy-Wouthuysen diagonalization of the quantum Dirac Hamiltonian and then taking the massless limit. The Berry connection naturally emerges in the diagonalization process to modify the classical equations of motion of a fermion in an electromagnetic field. We provide support to our re ...
... semiclassical Foldy-Wouthuysen diagonalization of the quantum Dirac Hamiltonian and then taking the massless limit. The Berry connection naturally emerges in the diagonalization process to modify the classical equations of motion of a fermion in an electromagnetic field. We provide support to our re ...
Quantum Level Structures and Nonlinear Classical Dynamics
... the sense that each bifurcation of the classical phase space is accompanied by a corresponding bifurcation of the quantum eigenvalue spectrum. Such changes are easy to recognize in systems involving a single resonance, but the effect is quite general—as illustrated by a recent study of the relativel ...
... the sense that each bifurcation of the classical phase space is accompanied by a corresponding bifurcation of the quantum eigenvalue spectrum. Such changes are easy to recognize in systems involving a single resonance, but the effect is quite general—as illustrated by a recent study of the relativel ...
