A Quantum Equation of Motion with Higher Derivatives

1972 ◽  
Vol 40 (2) ◽  
pp. 248-251 ◽  
Author(s):  
M. Borneas
Keyword(s):  
Equation Of Motion ◽  
Quantum Equation ◽  
Higher Derivatives

scholarly journals Quantum equation of motion for computing molecular excitation energies on a noisy quantum processor

2020 ◽  
Vol 2 (4) ◽  
Author(s):  
Pauline J. Ollitrault ◽  
Abhinav Kandala ◽  
Chun-Fu Chen ◽  
Panagiotis Kl. Barkoutsos ◽  
Antonio Mezzacapo ◽  
...  
Keyword(s):  
Equation Of Motion ◽  
Excitation Energies ◽  
Quantum Equation ◽  
Quantum Processor ◽  
Molecular Excitation

CLASSICAL AND QUANTUM COMPARISON OF KINK AND BELL SOLITONS AS ZERO-BRANES

2000 ◽  
Vol 15 (01) ◽  
pp. 67-81 ◽  
Author(s):  
KONSTANTIN G. ZLOSHCHASTIEV
Keyword(s):  
Solitary Wave Solution ◽  
Dynamical Symmetry ◽  
Spontaneous Breaking ◽  
Coupling Constant ◽  
Quantum Equation ◽  
Higher Derivatives ◽  
The Masses ◽  
Negative Coupling ◽  
Brane Action ◽  
Rule Out

The self-interacting scalar field theory with the negative coupling constant gives rise to the bell-shaped solitary wave solution which can be interpreted as a massive Bose particle. We compare its properties with those of the kink solution (also known as the domain-wall potential) arisen in the theory with the positive constant introducing the simplest example of the spontaneous breaking of symmetry. We rule out the uniform p-brane action for the kink and bell solutions as the nonminimal point particles with curvature. When quantizing it as the theory with higher derivatives, it is shown that the appearing quantum equation has SU (2) dynamical symmetry group realizing the exact spin-coordinate correspondence. Finally, we calculate the quantum corrections to the masses of kink and bell bosons which cannot be obtained by means of the perturbation theory starting from the vacuum sector.

On the Admissibility of Given Acceleration-Dependent Forces in Mechanics

2005 ◽  
Vol 74 (1) ◽  
pp. 107-110 ◽  
Author(s):  
Michael M. Zhechev
Keyword(s):  
Unique Solution ◽  
Superposition Principle ◽  
Equation Of Motion ◽  
Analytical Dynamics ◽  
Higher Derivatives

In his book “A Treatise on Analytical Dynamics,” Pars asserted that acceleration-dependent forces are inconsistent with one of the fundamental principles of mechanics, namely, with the superposition principle, thus spreading among mechanical scientists the idea that such forces are not admissible in mechanics. This article demonstrates that given forces that depend on acceleration or higher derivatives are admissible in mechanics and shows that this assertion in Pars’s book is fallacious and the only condition for the applicability of such forces is the equation of motion possessing a unique solution.

scholarly journals Effective action and the quantum equation of motion

2004 ◽  
Vol 36 (2) ◽  
pp. 271-281 ◽  
Author(s):  
V. Branchina ◽  
H. Faivre ◽  
D. Zappalá
Keyword(s):  
Effective Action ◽  
Equation Of Motion ◽  
Quantum Equation
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