Search
displaying 1000 best results Help
Search results for: TIME DEPENDENT HAMILTONIAN
-
General solution of quantum mechanical equations of motion with time-dependent Hamiltonians: A Lie algebraic approach
PublicationThe unitary operators U(t), describing the quantum time evolution of systems with a time-dependent Hamiltonian, can be constructed in an explicit manner using the method of time-dependent invariants. We clarify the role of Lie-algebraic techniques in this context and elaborate the theory for SU(2) and SU(1,1). In these cases we give explicit formulae for obtaining general solutions from special ones. We show that the constructions...
-
MECHANICS OF TIME-DEPENDENT MATERIALS
Journals -
Modelling the time-dependent behaviour of soft soils
PublicationTime-dependence of soft soils has already been thoroughly investigated. The knowledge on creep and relaxation phenomena is generally available in the literature. However, it is still rarely applied in practice. Regarding the organic soils, geotechnical engineers mostly base their calculations on the simple assumptions. Yet, as presented within this paper, the rate-dependent behaviour of soft soils is a very special and important...
-
A new optimal algorithm for a time-dependent scheduling problem
PublicationIn this article a single machine time-dependent scheduling problem with total completion time criterion is considered. There are n given jobs j_1, ..., j_n and the processing time pi of the i-th job is given by p_i = 1 + b_is_i, where si is the starting time of the i-th job, i = 1, ..., n. If all jobs have different and non-zero deterioration rates and bi > bj => bi >= (b_min+1)/(b_min) b_j + 1/b_min, where b_min = min{b_i}, then...
-
A FPTAS for minimizing total completion time in a single machine time-dependent scheduling problem
PublicationIn this paper a single machine time-dependent scheduling problem with total completion time criterion is considered. There are given n jobs J1,…,Jn and the processing time pi of the ith job is given by pi=a+bisi, where si is the starting time of the ith job (i=1,…,n),bi is its deterioration rate and a is the common base processing time. If all jobs have deterioration rates different and not smaller than a certain constant u>0,...
-
On time-dependent nonlinear dynamic response of micro-elastic solids
PublicationA new approach to the mechanical response of micro-mechanic problems is presented using the modified couple stress theory. This model captured micro-turns due to micro-particles' rotations which could be essential for microstructural materials and/or at small scales. In a micro media based on the small rotations, sub-particles can also turn except the whole domain rotation. However, this framework is competent for a static medium....
-
Electronic structure and time-dependent description of rotational predissociation of LiH
PublicationThe adiabatic potential energy curves of the ^1Sigma+ and ^1Pi states of the LiH molecule were calculated. They correlate asymptotically to atomic states, such as 2s + 1s, 2p + 1s, 3s + 1s, 3p + 1s, 3d + 1s, 4s + 1s, 4p + 1s and 4d + 1s. A very good agreement was found between our calculated spectroscopic parameters and the experimental ones. The dynamics of the rotational predissociation process of the 1^1Pi state were studied...
-
Time Dependent Influence of Rotating Magnetic Field on Bacterial Cellulose
Publication -
Sensitivity evaluation of Krakowiec clay based on time-dependent behavior
Publication -
Application of dynamic time warping and cepstrograms to text-dependent speaker verification
PublicationThis work provides a description of an automatic speaker verification (ASV) system. In particular, it documents the evolution of all individual stages of the proposed ASV system design from the phase of preprocessing to an operational decision making system. The aim of this research was to achieve the system of the best safety and ease of use in view of users. The objective estimation of this target has been accomplished by assessing...
-
From Hollow to Solid Carbon Spheres: Time-Dependent Facile Synthesis
Publication -
Asymptotic numerical solver for the linear Klein–Gordon equation with space- and time-dependent mass
Publication -
Time- and Dose-Dependent Effects of 17 Beta-Estradiol on Short-Term, Real-Time Proliferation and Gene Expression in Porcine Granulosa Cells
Publication -
Excited state properties of a series of molecular photocatalysts investigated by time dependent density functional theory.
PublicationTime dependent density functional theory calculations are applied on a series of molecular photocatalysts of the type [(tbbpy)2M1(tpphz)M2X2]2+ (M1 = Ru, Os; M2 = Pd, Pt; X = Cl, I) in order to provide information concerning the photochemistry occurring upon excitation of the compounds in the visible region. To this aim, the energies, oscillator strengths and orbital characters of the singlet and triplet excited states are investigated....
-
Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients - convergence analysis
PublicationW pracy wykazano zbieżność metody różnicowej dla zagadnienia początkowego dla równania parabolicznego bez pochodnych mieszanych, ze współczynnikami zależnymi od czasu, z nieliniową i nielokalną prawą stroną równania.
-
Analytical solution of non-stationary heat conduction problem for two sliding layers with time-dependent friction conditions
PublicationIn this article we conduct an overview of various types of thermal contact conditions at the sliding interface. We formulate a problem of non-stationary heat conduction in two sliding layers with generalized thermal contact conditions allowing for dependence of the heat-generation coefficient and contact heat transfer coefficient on time. We then derive an analytical solution of the problem by constructing a special coordinate...
-
Time dependent slurry viscosity of finegrained silicon dioxide particles.Second International Conference on Engineering Rheology ICER 2003.
PublicationCząstki dwutlenku krzemu otrzymywano w wyniku reakcji chemicznej krzemianu sodowego z gazowym dwutlenkiem węgla. Krzemian sodowy był rozpuszczony w wodnym roztworze glikolu trójetylenowego. Dwutlenek węgla wprowadzano do strefy wznoszenia reaktora airlift z wewnętrzną cyrkulacją. Obserwowano położenie maksimów na krzywych zależności lepkości zawiesiny reakcyjnej od czasu.
-
Gas hold up and time dependent slurry viscosity during the the precipitation of fine grained silicon dioxide particles.
PublicationBadano zmiany stopnia zatrzymania gazu i lepkości zawiesiny podczas precypitacji dwutlenku krzemu z krzemianu sodowego za pomocą dwutlenku w reaktorze airlift z wewnętrzną cyrkulacją. Badano wpływ parametrów procesowych na akumulację mikropęcherzy w zawiesinie.
-
The role of Herzberg-Teller effects on the resonance Raman spectrum of trans-porphycene investigated by time dependent density functional theory.
PublicationThe S1 excited state properties as well as the associated absorption and resonance Raman (RR) spectra of trans-porphycene are investigated by means of time dependent density functional theory calculations. The relative magnitude of the Franck-Condon (FC) contribution and of the Herzberg-Teller (HT) effects is evaluated for both the absorption and RR intensities. The accuracy of the calculated spectra is assessed by employing different...
-
Exciton quenching in emitter blends for organic light emitting devices probed by electric field-dependent time-resolved luminescence
PublicationW pracy badano mechanizm wygaszania ekscytonów w układzie dwuamina TPD:organiczny kompleks Eu:matryca TPD przez pomiar zaniku fotoluminescencji w zewnętrznym polu elektrycznym.
-
Short-term Cultivation of Porcine Cumulus Cells Influences the Cyclin-dependent Kinase 4 (Cdk4) and Connexin 43 (Cx43) Protein Expression—A Real-time Cell Proliferation Approach
Publication -
Ageing-Time Dependent Changes of Angiotensin I-Converting Enzyme-Inhibiting Activity of Protein Hydrolysates Obtained from Dry-Cured Pork Loins Inoculated with Probiotic Lactic Acid Bacteria
Publication -
The time-dependent cellular uptake of C−2028, CD−C−2028, QDgreen−C−2028, and QDgreen−CD−FA−C−2028 conjugates at IC80 value to cancer LNCaP cells
Open Research DataThe time-dependent (1, 24, 48, and 72 h) cellular uptake of C−2028, CD−C−2028, QDgreen−C−2028, and QDgreen−CD−FA−C−2028 conjugates at IC80 value to cancer LNCaP cells performed by Confocal Laser Scanning Microscopy (63× magnification; ZEISS LSM T-PMT, Magdeburg, Germany). Based on the fluorescence properties of these compounds, green and orange fluorescence...
-
The time-dependent cellular uptake of C−2028, CD−C−2028, QDgreen−C−2028, and QDgreen−CD−FA−C−2028 conjugates at IC80 value to cancer H460 cells
Open Research DataThe time-dependent (1, 24, 48, and 72 h) cellular uptake of C−2028, CD−C−2028, QDgreen−C−2028, and QDgreen−CD−FA−C−2028 conjugates at IC80 value to cancer H460 cells performed by Confocal Laser Scanning Microscopy (63× magnification; ZEISS LSM T-PMT, Magdeburg, Germany). Based on the fluorescence properties of these compounds, green and orange fluorescence...
-
The time-dependent cellular uptake of C−2028, CD−C−2028, QDgreen−C−2028, and QDgreen−CD−FA−C−2028 conjugates at IC80 value to normal PNT1A cells
Open Research DataThe time-dependent (1, 24, 48, and 72 h) cellular uptake of C−2028, CD−C−2028, QDgreen−C−2028, and QDgreen−CD−FA−C−2028 conjugates at IC80 value to normal PNT1A cells performed by Confocal Laser Scanning Microscopy (63× magnification; ZEISS LSM T-PMT, Magdeburg, Germany). Based on the fluorescence properties of these compounds, green and orange fluorescence...
-
The time-dependent cellular uptake of C−2028, CD−C−2028, QDgreen−C−2028, and QDgreen−CD−FA−C−2028 conjugates at IC80 value to cancer Du-145 cells
Open Research DataThe time-dependent (1, 24, 48, and 72 h) cellular uptake of C−2028, CD−C−2028, QDgreen−C−2028, and QDgreen−CD−FA−C−2028 conjugates at IC80 value to cancer Du-145 cells performed by Confocal Laser Scanning Microscopy (63× magnification; ZEISS LSM T-PMT, Magdeburg, Germany). Based on the fluorescence properties of these compounds, green and orange fluorescence...
-
The time-dependent cellular uptake of C−2028, CD−C−2028, QDgreen−C−2028, and QDgreen−CD−FA−C−2028 conjugates at IC80 value to normal MRC-5 cells
Open Research DataThe time-dependent (1, 24, 48, and 72 h) cellular uptake of C−2028, CD−C−2028, QDgreen−C−2028, and QDgreen−CD−FA−C−2028 conjugates at IC80 value to normal MRC-5 cells performed by Confocal Laser Scanning Microscopy (63× magnification; ZEISS LSM T-PMT, Magdeburg, Germany). Based on the fluorescence properties of these compounds, green and orange fluorescence...
-
Very accurate time propagation of coupled Schrödinger equations for femto- and attosecond physics and chemistry, with C++ source code
PublicationIn this article, I present a very fast and high-precision (up to 33 decimal places) C++ implementation of the semi-global time propagation algorithm for a system of coupled Schrödinger equations with a time-dependent Hamiltonian. It can be used to describe time-dependent processes in molecular systems after excitation by femto- and attosecond laser pulses. It also works with an arbitrary user supplied Hamiltonian and can be used...
-
A Fortran-95 algorithm to solve the three-dimensional Higgs boson equation in the de Sitter space-time
Open Research DataA numerically efficient finite-difference technique for the solution of a fractional extension of the Higgs boson equation in the de Sitter space-time is designed. The model under investigation is a multidimensional equation with Riesz fractional derivatives of orders in (0,1)U(1,2], which considers a generalized potential and a time-dependent diffusion...
-
At the Limits of Criticality-Based Quantum Metrology: Apparent Super-Heisenberg Scaling Revisited
PublicationWe address the question of whether the super-Heisenberg scaling for quantum estimation is indeed realizable. We unify the results of two approaches. In the first one, the original system is compared with its copy rotated by the parameter-dependent dynamics. If the parameter is coupled to the one-body part of the Hamiltonian, the precision of its estimation is known to scale at most as N−1 (Heisenberg scaling) in terms of the number...
-
Numerical modeling of quantum dynamical processes
PublicationIn this dissertation I present a high-precision (15, 18 or 33 decimal places) C++ implementation of quantum dynamics time propagation algorithms for both time-independent and time-dependent Hamiltonian with an inhomogeneous source term. Moreover I present an extension of both algorithms for time propagation to handle arbitrary number of coupled electronic levels. I have performed a careful validation of these implementations comparing...
-
Evidence for SrHo2O4 and SrDy2O4 as model J1- J2 zigzag chain materials
PublicationNeutron diffraction and inelastic spectroscopy is used to characterize the magnetic Hamiltonian of SrHo2O4 and SrDy2O4. Through a detailed computation of the crystal-field levels we find site-dependent anisotropic single-ion magnetism in both materials, and diffraction measurements show the presence of strong one-dimensional spin correlations.Our measurements indicate that competing interactions of the zigzag chain, combinedwith...
-
Karolina Lademann mgr
PeopleCurriculum vitae
-
Karolina Lademann Mgr
People -
Convergence to equilibrium under a random Hamiltonian
PublicationWe analyze equilibration times of subsystems of a larger system under a random total Hamiltonian, in which the basis of the Hamiltonian is drawn from the Haar measure. We obtain that the time of equilibration is of the order of the inverse of the arithmetic average of the Bohr frequencies. To compute the average over a random basis, we compute the inverse of a matrix of overlaps of operators which permute four systems. We first...
-
Marek Czachor prof. dr hab.
People -
Clarke duality for Hamiltonian systems with nonstandard growth
PublicationWe consider the existence of periodic solutions to Hamiltonian systems with growth conditions involving G-function. We introduce the notion of symplectic G-function and provide relation for the growth of Hamiltonian in terms of certain constant CG associated to symplectic G-function G. We discuss an optimality of this constant for some special cases. We also provide applications to the Φ-laplacian type systems.
-
Krótko- i długookresowe skorygowane krańcowe skłonności do konsumpcji. Gospodarka Polski w latach 1995-2018
PublicationWe wstępnej części artykułu - odwołując się do teorii Keynesa - omówiono i zdefiniowano podstawowe relacje makroekonomiczne pomiędzy konsumpcją globalną a produktem krajowym brutto. W następnej kolejności przeprowadzono analizę informacji statystycznych dotyczących prywatnych wydatków konsumpcyjnych gospodarstw domowych (C) oraz globalnych wydatków konsumpcyjnych społeczeństwa (CO) na tle produktu krajowego brutto (PKB) w Polsce...
-
A convergence result for mountain pass periodic solutions of perturbed Hamiltonian systems
PublicationIn this work, we study second-order Hamiltonian systems under small perturbations. We assume that the main term of the system has a mountain pass structure, but do not suppose any condition on the perturbation. We prove the existence of a periodic solution. Moreover, we show that periodic solutions of perturbed systems converge to periodic solutions of the unperturbed systems if the perturbation tends to zero. The assumption on...
-
On the Existence of Homoclinic Type Solutions of a Class of Inhomogenous Second Order Hamiltonian Systems
PublicationWe show the existence of homoclinic type solutions of a class of inhomogenous second order Hamiltonian systems, where a C1-smooth potential satisfies a relaxed superquadratic growth condition, its gradient is bounded in the time variable, and a forcing term is sufficiently small in the space of square integrable functions. The idea of our proof is to approximate the original system by time-periodic ones, with larger and larger...
-
Approximative sequences and almost homoclinic solutions for a class of second order perturbed Hamiltonian systems
PublicationIn this work we will consider a class of second order perturbed Hamiltonian systems with a superquadratic growth condition on a time periodic potential and a small aperiodic forcing term. To get an almost homoclinic solution we approximate the original system by time periodic ones with larger and larger time periods. These approximative systems admit periodic solutions, and an almost homoclinic solution for the original system...
-
The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems
PublicationWe define a spectral flow for paths of selfadjoint Fredholm operators that are equivariant under the orthogonal action of a compact Lie group as an element of the representation ring of the latter. This G-equivariant spectral flow shares all common properties of the integer valued classical spectral flow, and it can be non-trivial even if the classical spectral flow vanishes. Our main theorem uses the G-equivariant spectral flow...
-
Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3
PublicationWe consider a conservative second order Hamiltonian system \ddot{q}+ ∇V(q)=0 in R3 with a potential V having a global maximum at the origin and a line l ∩ {0} = ∅ as a set of singular points. Under a certain compactness condition on V at infinity and a strong force condition at singular points we study, by the use of variational methods and geometrical arguments, the existence of homoclinic solutions of the system.
-
Two families of infinitely many homoclinics for singular strong force Hamiltonian systems
PublicationWe are concerned with a planar autonomous Hamiltonian system with a potential possessing a single well of infinite depth at a point X and a unique strict global maximum 0 at a point A. Under a strong force condition around the singularity X, via minimization of an action integral and using a shadowing chain lemma together with simple geometrical arguments, we prove the existence of infinitely many geometrically distinct homoclinic...
-
Time
Journals -
TIME SERIES MODELING (PG_00063724)
e-Learning CoursesEffectively uses in-depth knowledge of economic time series analysis methods, applying the results of analyzes to formulate forecasts. Subject contents: 1. Classical time series analysis (trend, cyclical fluctuations) 2. Exponential smoothing models 3. Holt and Winters model 4. Stochastic processes and time series 5. Characteristics of stochastic processes 6. Process spectrum autocorrelation functions 7. Study of the stationarity...
-
The Palais–Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications
PublicationWe show that the Hamiltonian action satisfies the Palais-Smale condition over a “mixed regular- ity” space of loops in cotangent bundles, namely the space of loops with regularity H^s, s ∈ (1/2, 1), in the baseand H^{1−s} in the fiber direction. As an application, we give a simplified proof of a theorem of Hofer-Viterbo on the existence of closed characteristic leaves for certain contact type hypersufaces in cotangent bundles.
-
Conley type index and hamiltonian inclusions
PublicationOpisano definicję i własności indeksu dla zbiorów niezmienniczych wielowartościowego układu dynamicznego w nieskończenie-wymiarowej przestrzeni Hilberta. Podano nowe przykłady zastosowań do twierdzeń o istnieniu nietrywialnych rozwiązań okresowych układów hamiltonowskichz prawą stroną niegładką.
-
Conley type index applied to Hamiltonian inclusions
PublicationPodano dowód istnienia nietrywialnych rozwiązań okresowych dla inkluzji Hamiltonowskich, z potencjałem lokalnie Lipschitzowskim, okresowym, uogólniając klasyczne twierdzenie Ammana- Zehndera. Użyto techniki z teorii indeksu Conley'a dla wielowartościowych potoków w przestrzeni Hilberta.
-
Homoclinic solutions for nonautonomous second order Hamiltonian
PublicationW pracy dowodzi się istnienia rozwiązań homoklinicznych dla pewnych typów równań różniczkowych zwyczajnych drugiego rzędu typu hamiltonowskiego.