Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 9 of 9 for “"semiclassical limit"”.
-
The semiclassical limit of quantum dynamics
We study the ħ→0 limit of the quantum dynamics determined by the Hamiltonian H(ħ) = -(ħ²/2m)Δ + Ｖ on L²(ℝ<sup>n</sup>) for a large class of potentials. By convolving with certain Gaussian states we obtain classically determined asymptotic behavior of the quantum evolution of states of compact …
-
Development of level set methods for computing the semiclassical limit of Schrödinger equations with potentials
… for computing multi-valued solutions to the semiclassical limits of Schroedinger equations. Both formulation and numerical results are obtained for level set method. Superposition is also proved via let set method setting. Meanwhile, multi-valued solutions of the Euler-Poisson equations are …
-
Signal Flow Graph Approach to Multiphoton Analysis and Transient Characteristics of Mode-Locked Far Infrared Lasers
… can be represented as signal flow graphs in the semiclassical limit. A few examples are given to illustrate the construction, manipulation and application of the graphs.
-
Exponentially Accurate Error Estimates of Quasiclassical Eigenvalues
… when the Planck's constant is considered in the semiclassical limit. Under certain hypotheses on the potential energy, we prove that, for any given small value of the Planck's constant, there is an optimal truncation of the series for the approximate eigenvalues, such that the difference between …
-
Eigenfunctions in chaotic quantum systems
… states does not always hold away from the semiclassical limit, such that chaotic states may completely penetrate into the region of the regular island. The consequences of this flooding are discussed and universal aspects highlighted.
-
First-Principles Study of Electronic Structure and Optical Properties of Semiconductor Surfaces Unified Approach for Exact Calculation of Coupling Coefficients of Quantum Angular Momenta
… and driven by a periodic force which in the semiclassical limit is equivalent to a continuous-wave electromagnetic field. The time evolution is calculated via iterative evaluation of the path integral. We show that in the case where the temperature of the environment is high with respect to …
-
Much ado about nothing: The superconformal index and Hilbert series of three dimensional N =4 vacua
… calculated via localisation theorems. By limiting to zero the fugacities in the index corresponding to an isometry, one forms the index of the submanifold of the target space invariant under that isometry. There is a limit of the fugacities that gives the Hilbert series of the target …
-
Solitons and dualities in 2+1 dimensions
… of the undeformed version. By taking the semiclassical limit, we use our result to compute the volumes of vortex moduli spaces (which are closely related to the statistical mechanical partition functions of vortex gases). The volume of the $k$-vortex moduli space is a polynomial in the …
-
Analytical and Numerical Study of Lindblad Equations
… the classical approach (i.e., the weak coupling limit), we provide more explicit scaling for parameters when the approximations are made. Moreover, we derive a classical master equation based on the Lindbladian formalism.</p><p>In Chp. 3, we consider numerical aspects of Lindblad equations. …