Equations of motion for single particle under two proper time model and three proper time model have been proposed and analyzed. The motions of particle are derived from pure classical method but they exhibit the same properties of quantum physics: the quantum wave equation, de Broglie equations,...
of exceptional points in the non-Markovian regime is complicated by the unclear applicability of standard techniques such as spectral analysis. Here, the authors fill this gap by proposing a general framework that combines the pseudomode equation of motion and the hierarchical equations of motion. ...
Figure 1. Kinematic equations can help us describe and predict the motion of moving objects such as these kayaks racing in Newbury, England. (credit: Barry Skeates, Flickr) We might know that the greater the acceleration of, say, a car moving away from a stop sign, the great...
The known force on the mortar shell can be related to its acceleration using the equations of motion. Kinematics can then be used to relate the mortar shell’s acceleration to its position. Solution Initially, $$ {y}_{0}=0 $$ and $$ {v}_{0}=50.0\,\text{m/s}\text{.} $$ ...
Equations of the translational and rotational motion of two bodies possessing intrinsic angular momentum are obtained by the Einstein—Infeld—Hoffmann method in the post-Newtonian approximation. The results agree with the Kerr metric expressed in a harmonic system of coordinates with symmetry of the sp...
The hierarchical equations of motion (HEOM) approach can describe the reduced dynamics of a system simultaneously coupled to multiple bosonic and fermionic environments. The complexity of exactly describing the system-environment interaction with the HEO
which are not the field equations. Then you calculate the curvature of spacetime by the field equations which enables you to predict the trajectory of a new test particle. However, this test particle should have been inTTin the first place and being solved with the actual equat...
The forecasting of critical phenomena in complex systems governed by partial differential equations remains challenging and computationally expensive. The authors propose a generative learning approach for the forecasting of the statistical properties of high-dimensional systems at a reduced computational cost....
Equality modulo equations of motion What does Qmechanic mean by “equality modulo equations of motion” when talking about Lagrangian formulation/formalism and so on ? lagrangian-formalism
Physics is a field of science that has traditionally used the scientific method to answer questions about why natural phenomena occur and to make testable models that explain the phenomena. Discovering equations, laws, and principles that are invariant, robust, and causal has been fundamental in phy...