Applications of time-dependent perturbation theory.
Atomic and molecular time-dependent quantum- mechanical perturbation theory with differential equation formulation within Hartree-Fock approximation
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Atomic and molecular time-dependent quantum- mechanical perturbation theory with differential equation formulation within Hartree-Fock approximation
Quantum mechanical perturbation theory calculation of upper and lower bounds of energy eigenvalues using partitioning methods
Perturbation treatment of diatomic hydrogen ion, improving polarized hydrogen-atom treatment by using zero-order wave function
Temperature perturbation in Thomas-Fermi functions for atom radius as related by Gilvarry to simpler Feynman-Metropolis-Teller case
Perturbation treatment for molecular configuration using product of atomic or molecular orbits as zero-order wave function
Extended average energy approximation of first order perturbation wave function, proposing procedure for multidimensional problems
Instability and periodic solutions in nonlinear feedback systems obtained using perturbation theory of Hale and Cesari
Undetermined coefficient method compared with confluent hypergeometric functions for solving first order perturbation equation for refractive index of He
Perturbation factors in angular correlation function for multidomain ferromagnetic materials determined taking into account magnetic field fluctuations
Perturbation theory applied to periodic motions in three-body restricted problem
Satellite orbit perturbation analysis for lunar gravitational field determination using von Zeipel transformation
Nonlinear analysis of earth-moon system motion stability in three dimensions near L4 libration point when perturbed by sun
Variational approximation for ground state of perturbed Schroedinger equation with single variable wave function
Solar radiation pressure perturbations on large planar reflector satellite orbit
Perturbation theory for exchange forces using Brillouin and Schroedinger equations
A first-order perturbation theory exists for the flyby problem with the Born approximation as the reference orbit.
This paper documents the methodology and preliminary results from a Perturbed Parameter Ensemble (PPE) technique, where multiple parameters are varied simultaneously and the parameter values are determined with Latin hypercube sampling. This is done with the Community Atmosphere Model version 6 (CAM6), the atmospheric component of the Community Earth System Model version 2 (CESM2). We apply the PPE method to CESM2-CAM6 to understand climate sensitivity to atmospheric physics parameters. The initial simulations vary 45 parameters in the microphysics, convection, turbulence and aerosol schemes with 263 ensemble members. These atmospheric parameters are typically the most uncertain in many climate models. Control simulations are analyzed and targeted simulations to understand climate forcing due to aerosols and fast climate feedbacks. The use of various emulators is explored in the multi- dimensional space mapping input parameters to output metrics. Parameter impacts on various model outputs, such as radiation, cloud and aerosol properties are evaluated. Machine learning is also used to probe optimal parameter values against observations. Our findings show that using PPE is a valuable tool for climate uncertainty analysis. Furthermore, by varying many parameters simultaneously, we find that many different combinations of parameter values can produce results consistent with observations, and thus careful analysis of tuning is important. The CESM2-CAM6 PPE is publicly available, and extensible to other configurations to address questions of other model processes in the atmosphere and other model components (e.g. coupling to the land surface).
Lin, Maldacena, Rozenberg, and Shan (LMRS) presented a new information paradox in black hole physics by noticing that the entanglement and Rényi entropies in a two-sided black hole can become negative when the geometry contains a very large number of matter excitations behind the black hole horizon. While originally this puzzle was presented in the context of BPS two-sided black holes in two-dimensional supergravity, the negativity in fact persists for more general two-sided black holes in the presence of a large number of matter excitations. Since the entanglement and Rényi entropies in ordinary quantum systems cannot be negative, resolving this puzzle is a necessary step towards understanding the quantum mechanical description of black holes. In this paper, we explain how to address the entanglement negativity puzzle, both in the original setting discussed by LMRS and in more general non-supersymmetric settings, by summing over all non-perturbative contributions to the gravitational path integral. We then interpret this result from the point of view of a dual matrix integral, which we use to extend our analysis beyond the regime of validity of the genus re-summation performed in the gravitational path integral. In this regime, positivity is rescued by new saddles of the matrix integral, a one-eigenvalue instanton and a two-eigenvalue instanton. Finally, we formulate a similar puzzle and its resolution using random tensor network techniques.