scholarly journals Mathematical Principle Analysis of Separation Point Prediction

2021 ◽  
Vol 2101 (1) ◽  
pp. 012018
Author(s):  
Peng Yue ◽  
Jinghui Zhang ◽  
Dewei Peng ◽  
Sibei Wei
Keyword(s):  
Quantum Mechanics ◽  
Excited State ◽  
Fluid Mechanics ◽  
Experimental Method ◽  
Special Form ◽  
Separation Point ◽  
Mathematical Principle ◽  
Mathematical Formula ◽  
New Ideas ◽  
Fluid Separation

Abstract During the development of fluid mechanics, fluid separation is an important issue. So far, there is no mathematical formula to reveal and describe the essence of fluid separation. At the same time, due to the high cost and limitation of the experimental method, another method is urgently needed to predict the separation position of the fluid. After axiomatizing fluid mechanics and combining the principle of excited state of quantum mechanics, this paper reveals that fluid separation is a special form of fluid in an excited state, and deduces the state conditions of fluid separation. The research results of this paper provide new ideas for solving problems in fluid separation and engineering applications.

Visualization and Manipulation of Molecular Motion in Solid State through Photo-Induced Clusteroluminescence

2019 ◽  
Author(s):  
Haoke Zhang ◽  
Lili Du ◽  
Lin Wang ◽  
Junkai Liu ◽  
Qing Wan ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Excited State ◽  
Solid State ◽  
Light Source ◽  
Molecular Motion ◽  
Molecular Machine ◽  
Conjugated Molecules ◽  
Time Resolved ◽  
Packing Structure ◽  
New Strategy

<p>Building molecular machine has long been a dream of scientists as it is expected to revolutionize many aspects of technology and medicine. Implementing the solid-state molecular motion is the prerequisite for a practical molecular machine. However, few works on solid-state molecular motion have been reported and it is almost impossible to “see” the motion even if it happens. Here the light-driven molecular motion in solid state is discovered in two non-conjugated molecules <i>s</i>-DPE and <i>s</i>-DPE-TM, resulting in the formation of excited-state though-space complex (ESTSC). Meanwhile, the newly formed ESTSC generates an abnormal visible emission which is termed as clusteroluminescence. Notably, the original packing structure can recover from ESTSC when the light source is removed. These processes have been confirmed by time-resolved spectroscopy and quantum mechanics calculation. This work provides a new strategy to manipulate and “see” solid-state molecular motion and gains new insights into the mechanistic picture of clusteroluminescence.<br></p>

scholarly journals Links between fluid mechanics and quantum mechanics: a model for information in economics?

2016 ◽  
Vol 374 (2068) ◽  
pp. 20150237 ◽  
Author(s):  
Emmanuel Haven
Keyword(s):  
Quantum Mechanics ◽  
Fluid Mechanics

This paper tallies the links between fluid mechanics and quantum mechanics, and attempts to show whether those links can aid in beginning to build a formal template which is usable in economics models where time is (a)symmetric and memory is absent or present. An objective of this paper is to contemplate whether those formalisms can allow us to model information in economics in a novel way.

FishBots: Bio-Inspired Marine Robots Give Students a Hands-On Introduction to Fluid Mechanics

2020 ◽  
Vol 54 (4) ◽  
pp. 6-15
Author(s):  
Thomas R. Consi ◽  
Dixia Fan ◽  
Gurvan Jodin
Keyword(s):  
Fluid Mechanics ◽  
Educational Experiences ◽  
Freshman Seminar ◽  
Marine Robotics ◽  
Straight Line ◽  
Hands On ◽  
Fertile Ground ◽  
Underwater Propulsion ◽  
New Ideas ◽  
Educational Paths

AbstractSimple bio-inspired marine robots were used as teaching tools to introduce students to concepts in fluid mechanics, marine robotics, and how biological swimming mechanisms can provide fertile ground for new ideas in underwater propulsion. These robots, termed FishBots, were used in two educational situations. The first was a project for two undergraduate summer interns at MIT Sea Grant. This experience proved that such robots could be developed by undergraduates under the time constraint of a 1-month internship. Building on that success, we used FishBots successfully in an undergraduate freshman seminar class at MIT. In one semester, 29 students built 13 FishBots, all were tested in the water and 11 successfully swam, meaning they moved in a roughly straight line. These educational experiences are described in this paper along with the design of several of the student-built FishBots. The paper concludes with future educational paths for the FishBot idea.

On the application of quantum mechanics to mortality tables

1942 ◽  
Vol 71 (2) ◽  
pp. 228-258
Author(s):  
R. D Anderson
Keyword(s):  
Quantum Mechanics ◽  
Modern World ◽  
Wave Mechanics ◽  
New Ideas ◽  
The Subject ◽  
Almost All

If you have had your attention directed to the novelties in thought in your own lifetime, you will have observed that almost all really new ideas have a certain aspect of foolishness when they are first produced. Prof. A. N. Whitehead, Science and the Modern World.1. Quantum Mechanics is a portentous name; the alternative—Wave Mechanics—is almost as bad. The mathematics are formidable, the literature large and growing rapidly, and the subjectmatter dealt with is the behaviour of physical things, such as electrons, protons, atoms, and so on. Why, then, should actuaries as such take any interest in the subject?

scholarly journals Wave packet pseudomodes of variable coefficient differential operators

2005 ◽  
Vol 461 (2062) ◽  
pp. 3099-3122 ◽  
Author(s):  
Lloyd N Trefethen
Keyword(s):  
Quantum Mechanics ◽  
Wave Packet ◽  
Fluid Mechanics ◽  
Variable Coefficient ◽  
Differential Operators ◽  
High Accuracy ◽  
Variable Coefficients ◽  
Winding Number ◽  
Ordinary Differential Operators ◽  
Twist Condition

The pseudospectra of non-selfadjoint linear ordinary differential operators with variable coefficients are considered. It is shown that when a certain winding number or twist condition is satisfied, closely related to Hörmander's commutator condition for partial differential equations, ϵ -pseudoeigenfunctions of such operators for exponentially small values of ϵ exist in the form of localized wave packets. In contrast to related results of Davies and of Dencker, Sjöstrand & Zworski, the symbol need not be smooth. Applications in fluid mechanics, non-hermitian quantum mechanics and other areas are presented with the aid of high-accuracy numerical computations.

scholarly journals Quantum mechanics of particles trapped in a Lamé circle or Lamé sphere shaped potential well

2021 ◽  
Vol 67 (2 Mar-Apr) ◽  
pp. 206
Author(s):  
T. Isojärvi
Keyword(s):  
Quantum Mechanics ◽  
Excited State ◽  
Undergraduate Students ◽  
Ground State ◽  
State Energy ◽  
Potential Well ◽  
Step Potential ◽  
Time Stepping ◽  
Data Points ◽  
Well Depth

Ground state and 1st excited state energies and wave functions were calculated for systems of one or two electrons in a 2D and 3D potential well having a shape intermediate between a circle and a square or a sphere and a cube. One way to define such a potential well is with a step potential and a bounding surface of form |x| q +|y| q +|z| q = |r| q , which converts from a sphere to a cube when q increases from 2 to infinity. This kind of geometrical object is called a Lame surface. The calculations were done either with implicit finite difference time stepping in ´ the direction of negative imaginary time axis or with quantum diffusion Monte Carlo. The results demonstrate how the volume and depth of the potential well affect the E0 more than the shape parameter q does. Functions of two and three parameters were found to be sufficient for fitting an empirical graph to the ground state energy data points as a function of well depth V0 or exponent q. The ground state and first excited state energy of one particle in a potential well of this type appeared to be very closely approximated with an exponential function depending on q, when the well depth and area or volume was kept constant while changing the value of q. The model is potentially useful for describing quantum dots that deviate from simple geometric shapes, or for demonstrating methods of computational quantum mechanics to undergraduate students.

Visualization and Manipulation of Molecular Motion in Solid State through Photo-Induced Clusteroluminescence

2019 ◽  
Author(s):  
Haoke Zhang ◽  
Lili Du ◽  
Lin Wang ◽  
Junkai Liu ◽  
Qing Wan ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Excited State ◽  
Solid State ◽  
Light Source ◽  
Molecular Motion ◽  
Molecular Machine ◽  
Conjugated Molecules ◽  
Time Resolved ◽  
Packing Structure ◽  
New Strategy

<p>Building molecular machine has long been a dream of scientists as it is expected to revolutionize many aspects of technology and medicine. Implementing the solid-state molecular motion is the prerequisite for a practical molecular machine. However, few works on solid-state molecular motion have been reported and it is almost impossible to “see” the motion even if it happens. Here the light-driven molecular motion in solid state is discovered in two non-conjugated molecules <i>s</i>-DPE and <i>s</i>-DPE-TM, resulting in the formation of excited-state though-space complex (ESTSC). Meanwhile, the newly formed ESTSC generates an abnormal visible emission which is termed as clusteroluminescence. Notably, the original packing structure can recover from ESTSC when the light source is removed. These processes have been confirmed by time-resolved spectroscopy and quantum mechanics calculation. This work provides a new strategy to manipulate and “see” solid-state molecular motion and gains new insights into the mechanistic picture of clusteroluminescence.<br></p>

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