Quantum Correction for Newton's Law of Motion

@article{Kamalov2020QuantumCF,
  title={Quantum Correction for Newton's Law of Motion},
  author={Timur F. Kamalov},
  journal={Symmetry},
  year={2020},
  volume={12},
  pages={63}
}
  • T. Kamalov
  • Published 18 December 2016
  • Physics
  • Symmetry
A description of the motion in noninertial reference frames by means of the inclusion of high time derivatives is studied. Incompleteness of the description of physical reality is a problem of any theory, both in quantum mechanics and classical physics. The “stability principle” is put forward. We also provide macroscopic examples of noninertial mechanics and verify the use of high-order derivatives as nonlocal hidden variables on the basis of the equivalence principle when acceleration is… 
Acceleration in quantum mechanics and electric charge quantization
In this study, we have discussed the implications of acceleration in quantum mechanics by means of a generalized derivative operator (GDO). A new Schrödinger equation is obtained which depends on the
Nonlocal Thermodynamics Properties of Position-Dependent Mass Particle in Magnetic and Aharonov-Bohm Flux Fields
In this study, we have constructed a generalized momentum operator based on the notion of backward–forward coordinates characterized by a low dynamical nonlocality decaying exponentially with
Can corrections to gravity at galactic distances be decisive to the problem of dark matter and dark energy?
Are Dark Matter and Dark Energy the result of uncalculated addition derivatives? The need to introduce dark matter dark and energy becomes unnecessary if we consider that, the phenomenon of dark
Analytical and numerical estimates of nonlocal effects at low atomic scales: periodic structures, Landau levels, and quantum box
A generalized nonlocal uncertainty relation is constructed based on the notion of quantum acceleratum operator obtained in the framework of nonlocal-in-time kinetic energy approach for the case of
Semiclassical Qubits
  • T. Kamalov
  • Physics
    Journal of Physics: Conference Series
  • 2021
The semiclassical approximation of quantum computing and quasi-qubits (s-bits) have been obtained by us as a result of our work over the past few years. This work can be conventionally divided into
Physics of nonlinear oscillations with nonlocal variables
In cases where physical processes cannot be described by linear equations, and nonlinear equations are difficult to solve mathematically, we have to use approximate solutions to such problems. One
Superconductivity and nucleation from fractal anisotropy and product-like fractal measure
Superconductivity is analysed based on the product-like fractal measure approach with fractal dimension α introduced by Li and Ostoja-Starzewski in their attempt to explore anisotropic fractal
On nonlocal fractal laminar steady and unsteady flows
In this study, we join the concept of fractality introduced by Li and Ostoja-Starzewski with the concept of nonlocality to produce a new set of nonlocal fractal fluid equations of motion. Both the

References

SHOWING 1-10 OF 30 REFERENCES
Classical and quantum-mechanical axioms with the higher time derivative formalism
A Newtonian mechanics model is essentially the model of a point body in an inertial reference frame. How to describe extended bodies in non-inertial (vibration) reference frames with the random
Extending Newton's law from nonlocal-in-time kinetic energy
Instability states and Ostrogradsky formalism
  • T. Kamalov
  • Physics
    Journal of Physics: Conference Series
  • 2018
. Contemporary physics, both Classical and Quantum, requires a notion of inertial reference frames. However, how to find a physical inertial frame in reality where there always exist random weak
General relativity as an effective field theory: The leading quantum corrections.
  • Donoghue
  • Physics
    Physical review. D, Particles and fields
  • 1994
TLDR
The treatment of gravity is described as a quantum effective field theory that allows a natural separation of the low energy quantum effects from the high energy contributions, and the leading quantum corrections to the gravitational interaction of two heavy masses are calculated.
New fundamental dynamical equation for higher derivative quantum field theories
In space-time with the Minkowski metric, the group of the metric is the inhomogeneous Lorentz group, which is also known as the Poincar e group. A dynamical equation is called fundamental if it is
Quantum Corrections to Newton's Law
We present a new approach to quantum gravity starting from Feynman's formulation for the simplest example, that of a scalar field as the representative matter. We show that we extend his treatment to
QUANTUM CORRECTIONS TO NEWTON'S LAW
We present a new approach to quantum gravity starting from Feynman's formulation for the simplest example, that of a scalar field as the representative matter. We show that we extend his treatment to
The Hamilton–Jacobi Analysis of Powers of Singular Lagrangians: A Connection Between the Modified Schrödinger and the Navier–Stokes Equations
Non-standard Lagrangians have gained recently an increasing interest in the theory of nonlinear differential equations, classical and quantum nonlinear dynamical systems. In this work, we discuss a
CORRIGENDUM: Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients
Dynamical systems described by equations of motion with the first-order time derivative (dissipative) terms of even and odd powers, and coefficients varying either in time or in space, are
Jerk in Planetary Systems and Rotational Dynamics, Nonlocal Motion Relative to Earth and Nonlocal Fluid Dynamics in Rotating Earth Frame
Some results following from the implications of nonlocal-in-time kinetic energy approach introduced recently by Suykens in the framework of rotational dynamics and motion in a non-inertial frame are
...
...