scholarly journals THE DESCRIPTION OF DOUBLE WAVE FUNCTION OF PARTICLE MOTION IN THE REFLECTIONLESS POTENTIAL WELL

1996 ◽  
Vol 45 (3) ◽  
pp. 360
Author(s):  
LIN KUN-ZHI
Keyword(s):  
Wave Function ◽  
Particle Motion ◽  
Potential Well ◽  
Reflectionless Potential

scholarly journals The field meaning of wave function

2020 ◽  
Author(s):  
Canlun Yuan Yuan
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Electron Emission ◽  
Basic Assumption ◽  
Electron Transition ◽  
Physical Significance ◽  
Quantum Mechanical ◽  
Great Success ◽  
Potential Well ◽  
Transition Electron

Abstract Although this paper is the inheritance and development of Copenhagen quantum mechanics theory, it is a brand-new theory, because although quantum mechanics has achieved great success, its physical significance still needs to be explored. In this paper, the concept of generalized field and generalized quantity is introduced. From the behavior of generalized field in potential well, the conclusion that generalized field exists with energy in the form of standing wave in potential well is obtained. In this paper, only one physical model is used: "the generalized field forms wave, which is wave function". With a basic assumption of mvλ=h , the Einstein de Broglie relation is derived, and the wave function has the meaning of generalized field. Every conclusion given in this paper has clear and obvious physical significance, which makes quantum mechanical problems simple and clear. At the same time, the new atom model is established, and the problems of electron transition, electron spin, electron emission and absorption are discussed.

scholarly journals Возбуждение и ионизация частицы в одномерной потенциальной яме нулевого радиуса предельно коротким световым импульсом

2022 ◽  
Vol 130 (3) ◽  
pp. 414
Author(s):  
Р.М. Архипов ◽  
М.В. Архипов ◽  
А.В. Пахомов ◽  
Н.Н. Розанов
Keyword(s):  
Wave Function ◽  
Energy Level ◽  
Short Pulse ◽  
Bound State ◽  
Characteristic Scale ◽  
Potential Well ◽  
One Dimensional ◽  
Characteristic Period ◽  
Zero Radius ◽  
Perturbation Approximation

The Migdal sudden perturbation approximation is used to solve the problem of excitation and ionization particles in a one-dimensional potential of zero radius with an extremely short pulse. There is has only one energy level in such a one-dimensional the delta-shaped potential well. It is shown that for pulse durations shorter than the characteristic period of oscillations of the wave function of the particle in the bound state, the population of the level (and the probability of ionization) is determined by the ratio of the electric the area of ​​the pulse to the characteristic “scale” of the area inversely proportional to the area of ​​localization of the particle in a bound state.

Localization of a bound particle outside the potential well

2002 ◽  
Vol 80 (7) ◽  
pp. 755-766 ◽  
Author(s):  
R F Holub ◽  
P K Smrz
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Quantum Mechanics ◽  
Quantum Effect ◽  
Energy State ◽  
Potential Well ◽  
Zero Energy ◽  
Standard Quantum ◽  
Simple Effect ◽  
The Common

We describe a simple effect predicted by standard quantum mechanics concerning a particle bound in a potential well brought to the zero-energy state by deformation of the well. When the effect takes place within a crack with impermeable walls the probability of localization of the particle reaches its maximum near the end of the crack. The wave function describing the bound particle may thus decohere far from the potential well. There are numerous instances of experimental data, gathered mostly by geochemists and other scientists over the last several decades, that are anomalous and defy all attempts to explain them by means of classical chemistry and physics. The common attribute of these data is a strange transport of particles over large distances that may be caused by the quantum effect described in the first part of the paper. The motivation for writing this paper is our hope to stimulate interest and critical testing of such an hypothesis. PACS Nos.: 03.65, 82.90, 91.90

DESCRIPTION OF A COMPOSITE PARTICLE IN TERMS OF A FUNCTIONAL POTENTIAL WELL

1954 ◽  
Vol 32 (7) ◽  
pp. 480-491 ◽  
Author(s):  
R. Finkelstein ◽  
P. Kaus ◽  
S. G. Gasiorowicz
Keyword(s):  
Wave Function ◽  
Wave Equation ◽  
Dirac Operator ◽  
Internal Wave ◽  
Composite Particle ◽  
Potential Well ◽  
Fundamental Theory ◽  
Functional Potential ◽  
Covariant Model ◽  
Relative Coordinates

A covariant two-particle wave equation of the following form is investigated:[Formula: see text]where Dk is the Dirac operator (γμpμ – im)k and F(ψ) is a functional "potential well", Ψαa. is interpreted as a probability amplitude and transforms as a spinor on both indices. ψ is the internal wave function depending only on the relative coordinates. This equation provides a covariant model which exhibits nonlocal interactions and can be studied by relatively simple methods. The investigation is primarily methodological. The physical model is similar to the Fermi–Yang pion and like it, is qualitative and not based on fundamental theory.

The electron

2018 ◽  
Author(s):  
L. Solymar ◽  
D. Walsh ◽  
R. R. A. Syms
Keyword(s):  
Wave Function ◽  
Potential Barrier ◽  
Wave Packets ◽  
Energy Levels ◽  
Quantum Mechanical ◽  
Potential Well ◽  
Mechanical Approach ◽  
Finite Barrier ◽  
The Subject ◽  
Quantum Mechanical Approach

Discusses with some rigour the properties of electrons, based on the Schrodinger equation. Introduces the concepts of wave function, quantum-mechanical operators, and wave packets. Examples cover the electron meeting an infinitely long potential barrier and the passage of electrons through a finite barrier (which leads to the phenomenon of tunnelling).The electron in a potential well is also discussed, solving the problem both for a finite and for an infinite well, and finding the permissible energy levels. The chapter is concluded with the philosophical implications that arise from the quantum-mechanical approach. Two limericks relevant to the subject are quoted.

Single Particle Motion in a Deformed, Nonlocal Potential Well

1960 ◽  
Vol 117 (6) ◽  
pp. 1551-1561 ◽  
Author(s):  
R. H. Lemmer
Keyword(s):  
Single Particle ◽  
Particle Motion ◽  
Potential Well ◽  
Nonlocal Potential ◽  
Single Particle Motion

scholarly journals EXACT SOLUTION OF SCHR?DINGER EQUATION WITH REFLECTIONLESS POTENTIAL WELL

1993 ◽  
Vol 42 (2) ◽  
pp. 173
Author(s):  
ZHOU GUANG-HUI
Keyword(s):  
Exact Solution ◽  
Potential Well ◽  
Dinger Equation ◽  
Reflectionless Potential

scholarly journals From "weak" to "strong" hole confinement in a Mott insulator

2019 ◽  
Vol 7 (5) ◽  
Author(s):  
Krzysztof Bieniasz ◽  
Piotr Wrzosek ◽  
Andrzej M. Oles ◽  
Krzysztof Wohlfeld
Keyword(s):  
Wave Function ◽  
Hubbard Model ◽  
Spin System ◽  
Analytical Methods ◽  
Cold Atom ◽  
Square Lattice ◽  
Potential Well ◽  
Ising Antiferromagnet ◽  
Expansion Coefficients ◽  
Hole Confinement

We study the problem of a single hole in an Ising antiferromagnet and, using the magnon expansion and analytical methods, determine the expansion coefficients of its wave function in the magnon basis. In the 1D case, the hole is “weakly” confined in a potential well and the magnon coefficients decay exponentially in the absence of a string potential. This behavior is in sharp contrast to the 2D square lattice where the hole is “strongly” confined by a string potential and the magnon coefficients decay superexponentially. The latter is identified here to be a fingerprint of the strings in doped antiferromagnets that can be recognized in the numerical or cold atom simulations of the 2D doped Hubbard model. Finally, we attribute the differences between the 1D and 2D cases to the magnon-magnon interactions being crucially important in a 1D spin system.

scholarly journals Phase-Amplitude Relations for a Particle with a Superposition of Two Energy Levels in a Double Potential Well

2022 ◽  
Author(s):  
Ofir Flom ◽  
Asher Yahalom ◽  
Jacob Levitan ◽  
Haggai Zilberberg
Keyword(s):  
Wave Function ◽  
Energy Levels ◽  
Uncertainty Relations ◽  
Potential Well ◽  
Analytical Uncertainty ◽  
Phase Amplitude

We study the connection between the phase and the amplitude of the wave function and the conditions under which this relationship exists. For this we use model of particle in a box. We have shown that the amplitude can be calculated from the phase and vice versa if the log Analytical uncertainty relations are satisfied.

Critical soliton speed for quantum reflection by a reflectionless potential well

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
U. Al Khawaja
Keyword(s):  
Potential Well ◽  
Quantum Reflection ◽  
Reflectionless Potential
Sign in / Sign up

Export Citation Format

Share Document