Path Integral Formulation of Quantum Tunneling: Numerical Approximation and Application to
... In order to approximate this path integral one would normally attempt to find a path that was stationary with respect to S. Since this path will provide the dominant contribution to the integral one could make an expansion of the action around this path. Further explanation of exactly how this is do ...
... In order to approximate this path integral one would normally attempt to find a path that was stationary with respect to S. Since this path will provide the dominant contribution to the integral one could make an expansion of the action around this path. Further explanation of exactly how this is do ...
THE SYMMETRY GROUP PARADOX FOR NON
... blocks for the different configurations with the off‐diagonal elements for r not equal to s all being zero. Each diagonal block is also diagonal with rigid molecule energies Eo along the diagonal. Analogous to the standard situation, we choose the energy eigenvectors Gr|i> for I = 1, 2, …, dE ...
... blocks for the different configurations with the off‐diagonal elements for r not equal to s all being zero. Each diagonal block is also diagonal with rigid molecule energies Eo along the diagonal. Analogous to the standard situation, we choose the energy eigenvectors Gr|i> for I = 1, 2, …, dE ...
Conservative, unconditionally stable
... (essentially a nonlinear coupling of the Schrödinger equation and the wave equation), and various coupled systems of NLS equations [CNLS] arising in nonlinear optics. A richer class of equations arises in inherently discrete situations such as the so-called lattice wave equations, which arise, for e ...
... (essentially a nonlinear coupling of the Schrödinger equation and the wave equation), and various coupled systems of NLS equations [CNLS] arising in nonlinear optics. A richer class of equations arises in inherently discrete situations such as the so-called lattice wave equations, which arise, for e ...
Resonance of minimizers for n-level quantum systems with an
... Here we are considering a class of systems on which it is possible to eliminate the so called drift term. This includes n-level quantum systems in the rotating wave function approximation (RWA) and in which each laser couples only close levels. For this kind of systems our reduction is crucial to gi ...
... Here we are considering a class of systems on which it is possible to eliminate the so called drift term. This includes n-level quantum systems in the rotating wave function approximation (RWA) and in which each laser couples only close levels. For this kind of systems our reduction is crucial to gi ...
Atomic Physics - Oxford Physics
... visible world. The small scale of atoms and the properties of nuclei and electrons required a new kind of mechanics to describe their behaviour. Quantum Mechanics was developed in order to explain such phenomena as the spectra of light emitted or absorbed by atoms. So far you have studied the physic ...
... visible world. The small scale of atoms and the properties of nuclei and electrons required a new kind of mechanics to describe their behaviour. Quantum Mechanics was developed in order to explain such phenomena as the spectra of light emitted or absorbed by atoms. So far you have studied the physic ...
Self-consistent approach for calculations of exciton binding energy
... effective methods. Presently, the best results are usually obtained within the framework of the variational approach, where a certain form of the exciton wave function, depending on one or more variational parameters is being postulated. The exciton energy is then calculated by minimizing the respec ...
... effective methods. Presently, the best results are usually obtained within the framework of the variational approach, where a certain form of the exciton wave function, depending on one or more variational parameters is being postulated. The exciton energy is then calculated by minimizing the respec ...
Asymptotics of repeated interaction quantum systems Laurent Bruneau , Alain Joye
... in the operator sense, where π is the rank one projection which projects onto CΩS along (CΩ∗S )⊥ . In fact, we have the following easy estimate (valid for any matrix M with spectrum inside the unit disk and satisfying (E)) Proposition 2.2 For any > 0 there exists a constant C s.t. kM m −πk ≤ C e ...
... in the operator sense, where π is the rank one projection which projects onto CΩS along (CΩ∗S )⊥ . In fact, we have the following easy estimate (valid for any matrix M with spectrum inside the unit disk and satisfying (E)) Proposition 2.2 For any > 0 there exists a constant C s.t. kM m −πk ≤ C e ...
