Quantum dynamics of theSU(2)-Skyrme model in Nelson stochastic mechanics

1991 ◽  
Vol 30 (9) ◽  
pp. 1229-1233 ◽  
Author(s):  
Z. Z. Israilov ◽  
M. M. Musakhanov
Keyword(s):  
Quantum Dynamics ◽  
Skyrme Model ◽  
Stochastic Mechanics ◽  
Nelson Stochastic Mechanics

scholarly journals Quantum-thermal self-diffusion as a hydrodynamic mechanism for the fluctuations’ relaxation

2016 ◽  
Vol 94 (3) ◽  
pp. 310-319
Author(s):  
Olga Golubjeva ◽  
Sergey Sidorov
Keyword(s):  
Thermal Effects ◽  
Lagrangian Density ◽  
Thermal Fluctuation ◽  
Quantum Mechanical ◽  
System Of Equations ◽  
Stochastic Mechanics ◽  
One Dimensional ◽  
Self Diffusion ◽  
Hydrodynamic Mechanism ◽  
Nelson Stochastic Mechanics

We propose a generalization of quantum mechanical equations in the hydrodynamic form by introducing, into the Lagrangian density, terms taking into account the diffusion velocity at zero and finite temperatures and the diffusion pressure energy of the warm vacuum. Based on this, for the model of one-dimensional hydrodynamics, we construct a system of equations that are analogous to the Euler equations, but with the inclusion of quantum and thermal effects. They are a generalization of the equations of the Nelson stochastic mechanics. The numerical analysis of the system’s solutions’ behavior determined that this system can be used to describe the process of quantum-thermal fluctuation relaxation.

THE NOTHING THAT REALLY IS!

2016 ◽  
Vol 12 (1) ◽  
pp. 4172-4177
Author(s):  
Abdul Malek
Keyword(s):  
Quantum Dynamics ◽  
Theoretical Physics ◽  
Historical Evolution ◽  
Proper Understanding ◽  
Physical Universe ◽  
Wave Particle Duality ◽  
Negative Effect ◽  
Materialist Interpretation

The denial of the existence of contradiction is at the root of all idealism in epistemology and the cause for alienations.  This alienation has become a hindrance for the understanding of the nature and the historical evolution mathematics itself and its role as an instrument in the enquiry of the physical universe (1). A dialectical materialist approach incorporating  the role of the contradiction of the unity of the opposites, chance and necessity etc., can provide a proper understanding of the historical evolution of mathematics and  may ameliorate  the negative effect of the alienation in modern theoretical physics and cosmology. The dialectical view also offers a more plausible materialist interpretation of the bewildering wave-particle duality in quantum dynamics (2).

Classical and Quantum Dynamics

1994 ◽  
Author(s):  
Walter Dittrich ◽  
Martin Reuter
Keyword(s):  
Quantum Dynamics

The Quantum Dynamics of an Excess Proton in Water.

1995 ◽  
Author(s):  
J. Lobaugh ◽  
Gregory A. Voth
Keyword(s):  
Quantum Dynamics

Quantum Resonances: Line Profiles and Dynamics

2003 ◽  
Vol 68 (3) ◽  
pp. 529-553 ◽  
Author(s):  
Ivana Paidarová ◽  
Philippe Durand
Keyword(s):  
Hydrogen Atom ◽  
Operator Theory ◽  
Quantum Dynamics ◽  
Line Profiles ◽  
Static Electric Field ◽  
Reversal Effect ◽  
Quantum Resonances ◽  
Energy Dependent ◽  
Effective Hamiltonians

The wave operator theory of quantum dynamics is reviewed and applied to the study of line profiles and to the determination of the dynamics of interacting resonances. Energy-dependent and energy-independent effective Hamiltonians are investigated. The q-reversal effect in spectroscopy is interpreted in terms of interfering Fano profiles. The dynamics of an hydrogen atom subjected to a strong static electric field is revisited.

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

scholarly journals Direct quantum dynamics using variational Gaussian wavepackets and Gaussian process regression

2019 ◽  
Vol 150 (4) ◽  
pp. 041101 ◽  
Author(s):  
Iakov Polyak ◽  
Gareth W. Richings ◽  
Scott Habershon ◽  
Peter J. Knowles
Keyword(s):  
Gaussian Process ◽  
Quantum Dynamics ◽  
Gaussian Process Regression

Thermal-mixture Kepler system in stochastic mechanics

1991 ◽  
Vol 44 (10) ◽  
pp. 6313-6319 ◽  
Author(s):  
Tetsuya Misawa
Keyword(s):  
Stochastic Mechanics ◽  
Kepler System
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