scholarly journals Effective and Efficient Resonant Transitions in Periodically Modulated Quantum Systems

2021 ◽  
Vol 3 (1) ◽  
pp. 173-195
Author(s):  
Isabel Sainz ◽  
Andrés García ◽  
Andrei B. Klimov
Keyword(s):  
Iterative Procedure ◽  
Effective Interaction ◽  
Transformation Method ◽  
Quantum Systems ◽  
Time Modulation ◽  
Perturbed System ◽  
Floquet Representation ◽  
Lie Transformation ◽  
Resonant Transitions

We analyze periodically modulated quantum systems with SU(2) and SU(1,1) symmetries. Transforming the Hamiltonian into the Floquet representation we apply the Lie transformation method, which allows us to classify all effective resonant transitions emerging in time-dependent systems. In the case of a single periodically perturbed system, we propose an explicit iterative procedure for the determination of the effective interaction constants corresponding to every resonance both for weak and strong modulation. For coupled quantum systems we determine the efficient resonant transitions appearing as a result of time modulation and intrinsic non-linearities.

Improved linear representation of surface waves. Part 2. Slowly varying bottoms and currents

1994 ◽  
Vol 261 ◽  
pp. 65-74 ◽  
Author(s):  
Jon Wright ◽  
Dennis B. Creamer
Keyword(s):  
Free Surface ◽  
Nonlinear Effects ◽  
Linear Representation ◽  
Finite Depth ◽  
Transformation Method ◽  
Leading Order ◽  
Short Waves ◽  
Hamiltonian Theory ◽  
Lie Transformation ◽  
Correct Implementation

We extend the results of a previous paper to fluids of finite depth. We consider the Hamiltonian theory of waves on the free surface of an incompressible fluid, and derive the canonical transformation that eliminates the leading order of nonlinearity for finite depth. As in the previous paper we propose using the Lie transformation method since it seems to include a nearly correct implementation of short waves interacting with long waves. We show how to use the Eikonal method for slowly varying currents and/or depths in combination with the nonlinear transformation. We note that nonlinear effects are more important in water of finite depth. We note that a nonlinear action conservation law can be derived.

Design Considerations for Optimal Absorption of Energy from a Vibration Source by an Array of Harvesters

2016 ◽  
Vol 3 (2) ◽  
Author(s):  
Rammohan Sriramdas ◽  
Shreevar Rastogi ◽  
Rudra Pratap
Keyword(s):  
Resonant Frequency ◽  
Total Energy ◽  
Iterative Procedure ◽  
Vibration Source ◽  
Vibration Absorbers ◽  
Resonant Frequencies ◽  
Vibration Absorption ◽  
Design Considerations ◽  
Passive Technique

AbstractDynamic vibration absorption is a passive technique for suppressing unintended vibrations. Optimal absorption of energy from a vibration source entails the determination of absorber parameters such as resonant frequency and damping. In the present work, we propose a method to obtain these parameters for a generic case of large number of identical vibration absorbers placed on a vibration source. We discuss an iterative procedure to find the optimum absorber resonant frequency and damping by minimizing the total energy absorbed by the system. We also analyse the influence of damping of the entire set of absorbers on the total energy absorbed and the effect of the absorber mass on the bandwidth of absorption. The proposed method is verified by analysing the response of a set of cantilever absorber beams placed on a vibrating cantilever plate. The resonant frequencies of the system with different number of absorbers are verified experimentally. We identify, using our method, the absorber mass, resonant frequency and damping of the absorber at which significant amount of energy supplied to the system flows into absorbers. A potential application of this method in the context of energy harvesting is the design of harvesters for a given vibration source. We emphasize through our work that monitoring energies in the system and optimizing them is both rational and vital for designing multiple harvesters that absorb energy from a given vibration source optimally.

scholarly journals The calculation of Binding Energy and Incompressibility, Pressure, and Velocity of Sound of Infinite Nuclear matter Using New One Boson Interaction.

2019 ◽  
Vol 1 ◽  
pp. 288-293
Author(s):  
M T Aper ◽  
F Gbaorun ◽  
J O Fiase
Keyword(s):  
Binding Energy ◽  
Nuclear Matter ◽  
Effective Interaction ◽  
Research Work ◽  
Nucleon Nucleon ◽  
Matrix Approach ◽  
Velocity Of Sound ◽  
Model Calculations ◽  
Effective Interactions

The use of effective nucleon – nucleon (N N) interactions for the determination of nuclear matter properties such as, binding energy per nucleon, incompressibility,K of infinite nuclear matter, pressure 0 and velocity of sound of nuclear matter has been a subject of great interest to nuclear physicists for many decades. The effective interaction usually involved in these calculations has been the Michigan three Yukawa (M3Y) effective interactions whose origin is from G- matrix approach. In this research work however, we have used a newly developed interaction known as new one boson (NOB) effective interaction to carry out similar calculations. This new interaction is based on the Lowest Order Constrained Variational (LOCV) technique. The interaction reproduces the saturation energy of spin and isospin infinite nuclear matter of approximately -16MeV at the normal nuclear matter saturation density consistent with the best available density-dependent interaction derived from the G-matrix approach. The results of the incompressibility obtained using the NOB interaction ranges from 304 to 309 MeV. These values are in good agreement with the values of incompressibility obtained for similar calculations using the M3Y – Reid effective interaction, in which values for K range from 304 to 310 MeV. The results of 0 pressure and velocity of sound of infinite nuclear matter obtained in the present calculations are also in excellent agreement with results of other workers. The results of our present calculations indicate that, the NOB interaction has passed the basic test for an effective interaction. The NOB may therefore be applied to other nuclear matter and optical model calculations to ascertain its reliability.

scholarly journals solutions of the CW equation for flow friction

2017 ◽  
Author(s):  
Dejan Brkić
Keyword(s):  
Fluid Flow ◽  
Friction Factor ◽  
Explicit Form ◽  
Iterative Procedure ◽  
Lambert W Function ◽  
Explicit Formulas ◽  
Flow Friction ◽  
Transcendental Functions ◽  
Flow Through

The empirical Colebrook–White (CW) equation belongs to the group of transcendental functions. The CW function is used for the determination of hydraulic resistances associated with fluid flow through pipes, flow of rivers, etc. Since the CW equation is implicit in fluid flow friction factor, it has to be approximately solved using iterative procedure or using some of the approximate explicit formulas developed by many authors. Alternate mathematical equivalents to the original expression of the CW equation, but now in the explicit form developed using the Lambert W-function, are shown (with related solutions). The W-function is also transcendental, but it is used more general compared with the CW function. Hence, the solution to the W-function developed by mathematicians can be used effectively for the CW function which is of interest only for hydraulics.

TRADE MARKETING AND NEW SALES PROMOTION TOOLS IN THE ACTIVITIES OF ENTERPRISES

2020 ◽  
Vol 10 (10) ◽  
pp. 2283-2292
Author(s):  
N.V. Shashlo ◽  
◽  
A.A. Kuzubov ◽  
Keyword(s):  
Effective Interaction ◽  
Sales Promotion ◽  
Market Participants ◽  
Depth Analysis ◽  
Marketing Activities ◽  
Modern Economic ◽  
The One ◽  
Definition Of

The market is a constant battle between enterprises, in which the winner will be the one who effectively plans, implements and measures the results of marketing activities. To get more profit and to meet the customers' needs, it is advisable to use a trade marketing mechanism. The issue of increasing the demand for goods is quite effectively resolved through the interaction of production and intermediary enterprises using trade marketing tools. This concept is insufficiently studied by Russian scientists, which makes it difficult to fully use it for the needs of market participants. The purpose of the article is an in-depth analysis of the conceptual and categorical apparatus of “trade marketing”, as well as transformation and improvement of the classification of tools of the trade marketing system and determination of the features of their use by production and intermediary enterprises. Basing on the analysis of modern economic literature, the authors have formed their own definition of the concept “trade marketing”. It is based on the manufacturer's and the intermediary's influence on the increase in demand for products, as well as on forming end consumer's loyalty to the brand through the effective interaction of all participants in the trade chain. The most relevant trade marketing tools used by marketing agencies and domestic scientists are considered. The existing approach to the classification of trade marketing tools has been expanded. We have developed our own classification of trade marketing tools, the main criterion of which is the target audience of the enterprise. The proposed classification will help industrial and trade enterprises to use the system of trade-marketing means more efficiently.

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