scholarly journals The quantum behavior of a particle in a square well of finite, uni-dimensional potential. The entangled fate of Schrödinger’s cat.

2021 ◽  
Author(s):  
Emmanuel Saucedo-Flores
Keyword(s):  
Quantum Behavior ◽  
Square Well

QUANTUM EFFECTS OF A PARTICLE IN AN INFINITE SQUARE WELL WITH A MOVING WALL

2000 ◽  
Vol 14 (10) ◽  
pp. 1059-1065 ◽  
Author(s):  
JIAN ZOU ◽  
BIN SHAO
Keyword(s):  
Wave Packet ◽  
Boundary Conditions ◽  
Coherent State ◽  
Dynamical Behavior ◽  
Squeezed State ◽  
Initial State ◽  
One Dimensional ◽  
Moving Wall ◽  
Quantum Behavior ◽  
Square Well

The quantum behavior of a particle in a one-dimensional infinite square well potential with a moving wall is studied. The particle is assumed to be initially prepared in the coherent state (Gaussian wave packet) and although the boundary is far from the particle, it is shown that the changing of the boundary conditions can instantaneously affect the dynamical behavior of the particle. It is also shown that the initial state can evolve into a squeezed state, and in some cases the spreading of the wavepacket could be suppressed. Finally the Pancharatnam phase is also discussed.

An integral equation and Monte Carlo study of homo- and hetero nuclear square-well diatomic fluids

2000 ◽  
Vol 98 (24) ◽  
pp. 2033-2043
Author(s):  
Vít Jirásek, Stanislav Labík, Anatol Ma
Keyword(s):  
Integral Equation ◽  
Monte Carlo ◽  
Monte Carlo Study ◽  
Square Well

Square-well mixtures revisited: computer simulation, mixing rules and one-fluid theory

2019 ◽  
Vol 46 (2) ◽  
pp. 102-110 ◽  
Author(s):  
B. P. Akhouri ◽  
J. R. Solana
Keyword(s):  
Computer Simulation ◽  
Mixing Rules ◽  
Fluid Theory ◽  
Square Well

scholarly journals Reaction-diffusion dynamics in a Fibonacci chain: Interplay between classical and quantum behavior

2021 ◽  
Vol 103 (17) ◽  
Author(s):  
Cheng-Ju Lin ◽  
Liujun Zou
Keyword(s):  
Reaction Diffusion ◽  
Diffusion Dynamics ◽  
Quantum Behavior

Temperature effect on structural and transport coefficient of liquid copper under square-well interaction

2021 ◽  
Author(s):  
C. Lalnuntluanga ◽  
Raj Kumar Mishra
Keyword(s):  
Temperature Effect ◽  
Transport Coefficient ◽  
Liquid Copper ◽  
Square Well

scholarly journals Helium Isotopes Quantum Sieving through Graphtriyne Membranes

Nanomaterials ◽  
2020 ◽  
Vol 11 (1) ◽  
pp. 73
Author(s):  
Marta I. Hernández ◽  
Massimiliano Bartolomei ◽  
José Campos-Martínez
Keyword(s):  
Low Temperatures ◽  
Quantum Tunneling ◽  
Transition State Theory ◽  
Selective Adsorption ◽  
State Theory ◽  
Helium Isotopes ◽  
Quantum Calculations ◽  
Approximate Methods ◽  
Helium Atoms ◽  
Quantum Behavior

We report accurate quantum calculations of the sieving of Helium atoms by two-dimensional (2D) graphtriyne layers with a new interaction potential. Thermal rate constants and permeances in an ample temperature range are computed and compared for both Helium isotopes. With a pore larger than graphdiyne, the most common member of the γ-graphyne family, it could be expected that the appearance of quantum effects were more limited. We find, however, a strong quantum behavior that can be attributed to the presence of selective adsorption resonances, with a pronounced effect in the low temperature regime. This effect leads to the appearance of some selectivity at very low temperatures and the possibility for the heavier isotope to cross the membrane more efficiently than the lighter, contrarily to what happened with graphdiyne membranes, where the sieving at low energy is predominantly ruled by quantum tunneling. The use of more approximate methods could be not advisable in these situations and prototypical transition state theory treatments might lead to large errors.

Zur Lösung der BETHE-GOLDSTONE-Gleichung bei nicht-verschwindendem Gesamtimpuls I

1963 ◽  
Vol 18 (4) ◽  
pp. 531-538
Author(s):  
Dallas T. Hayes
Keyword(s):  
Approximate Solution ◽  
Analytical Solution ◽  
Nuclear Matter ◽  
Analytical Solutions ◽  
Projection Operator ◽  
Center Of Mass ◽  
Separable Potential ◽  
Localized Solutions ◽  
Non Local ◽  
Square Well

Localized solutions of the BETHE—GOLDSTONE equation for two nucleons in nuclear matter are examined as a function of the center-of-mass momentum (c. m. m.) of the two nucleons. The equation depends upon the c. m. m. as parameter due to the dependence upon the c. m. m. of the projection operator appearing in the equation. An analytical solution of the equation is obtained for a non-local but separable potential, whereby a numerical solution is also obtained. An approximate solution for small c. m. m. is calculated for a square-well potential. In the range of the approximation the two analytical solutions agree exactly.

Comment on “Percus-Yevick theory for the system of hard spheres with a square-well attraction”

1978 ◽  
Vol 28 (9) ◽  
pp. 1059-1060
Author(s):  
T. Vicsek
Keyword(s):  
Hard Spheres ◽  
Square Well

scholarly journals Complexity Invariance by Replication in the Quantum Square Well

2009 ◽  
Vol 16 (04) ◽  
pp. 423-427 ◽  
Author(s):  
Ricardo López-Ruiz ◽  
Jaime Sañudo
Keyword(s):  
Statistical Measure ◽  
Energy Eigenstates ◽  
Square Well

A new kind of invariance by replication of a statistical measure of complexity is considered. We show that the set of energy eigenstates of the quantum infinite square well displays this particular invariance. Then, this system presents a constant complexity for all the energy eigenstates.

A Quantum-Behaved Particle Swarm Algorithm Combined with Chaotic Mutation

2012 ◽  
Vol 605-607 ◽  
pp. 2442-2446
Author(s):  
Xin Ran Li ◽  
Yan Xia Jin
Keyword(s):  
Particle Swarm ◽  
Pso Algorithm ◽  
Particle Swarm Algorithm ◽  
Local Optimum ◽  
Convergence Problem ◽  
Early Maturity ◽  
Classical Function ◽  
Function Test ◽  
Quantum Behavior ◽  
Swarm Algorithm

The article puts forward an improved PSO algorithm based on the quantum behavior——CMQPSO algorithm to improve premature convergence problem in particle swarm algorithm. The new algorithm first adopts Tent mapping initialization of particle swarm, searches each particle chaos, and strengthens the diversity of searching. Secondly, a method of effective judgment of early stagnation is embedded in the algorithm. Once the early maturity is retrieved, the algorithm mutates particles to jump out of the local optimum particle according to the structure mutation so as to reduce invalid iteration. The calculation of classical function test shows that the improved algorithm is superior to classical PSO algorithm and quantum-behaved PSO algorithm.

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