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Bohmian Quantum Gravity and Cosmology
Published in Xavier Oriols, Jordi Mompart, Applied Bohmian Mechanics, 2019
Nelson Pinto-Neto, Ward Struyve
There are two aspects of the theory whose analogue in the context of quantum gravity will play an important role. Firstly, Bohmian mechanics allows for an unambiguous analysis of the classical limit. Namely, the classical limit is obtained whenever the particles (or at least the relevant macroscopic variables, such as the center of mass) move classically, i.e., satisfy Newton’s equation. By taking the time derivative of (10.1), it is found that () mkX¨k(t)=−∇k(V(x)+Qψ(x,t))|x=X(t),
Understanding the Atom and the Nucleus
Published in Robert E. Masterson, Nuclear Engineering Fundamentals, 2017
This apparent conflict is resolved on a macroscopic level because quantum mechanics and classical physics converge to what is known as the classical limit. Here, the number of particles is so large that the motion of individual particles gets replaced by a diffusion equation that is used to model the motion of a liquid or a gas. Then, all of the quantum fluctuations average out, and what we are left with is a continuously variable system. Reactors are one example of this type of system, but there are many more. The heating up of the cooling water that flows through the core is another.
Algorithm for operating an ordinary engineering system as a quantum bit
Published in SICE Journal of Control, Measurement, and System Integration, 2022
Teturo Itami, Nobuyuki Matsui, Teijiro Isokawa, Noriaki Kouda, Takanori Hashimoto
The report presented in [23] uses the cost of harmonic oscillators for a brief and concise explanation. We checked “correspondence principle” or “classical limit” that makes zero using the simplicity of calculation. The basic component was general fluid control. But in this paper, more important thing is to estimate the probabilities of the and states while preserving the properties (two levels of properties). So, we adopt square well potential and stopped looking at zero limit. We emphasize that the system used in this paper is commonplace. Here we specifically use water to control the temperature with electric power . Also, specific water property values are applied for the purpose of concretely showing what the actual system looks like. Wave function parameter determination by monitoring state trajectory is actually calculated in this paper.
Molecular thermodynamics of a quantum Lennard-Jones fluid using an effective Mie potential and the SAFT-VR-Mie approach
Published in Molecular Physics, 2018
Sergio Contreras, César Serna, Alejandro Gil-Villegas
In order to test the thermodynamic predictions that can be obtained with the mapping procedure, we studied the pressures for H in the range of temperatures . Accurate values for σ and ε for this system were obtained from a correspondence principle using the van der Waals constant As a first approximation, as in the classical limit, if we consider that for two different temperatures is constant, then a simple relationship can be established between σ and ε, Once σ is determined from each isotherm, the value of ε is obtained from the previous relationship.