Geometric phases along quantum trajectories
A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its evolution. The phase value will be determined both by the unitary dynamics and by the interaction of the system with the environment.
Ludmila Viotti +4 more
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Entire parabolic trajectories as minimal phase transitions [PDF]
44 pages, 7 ...
BARUTELLO, Vivina Laura +2 more
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Multi-Phase Vertical Take-Off and Landing Trajectory Optimization with Feasible Initial Guesses
The advancement of electric vertical take-off and landing (eVTOL) aircraft has expanded the horizon of urban air mobility. However, the challenge of generating precise vertical take-off and landing (VTOL) trajectories that comply with airworthiness ...
Zhidong Lu +2 more
doaj +1 more source
VAN DER POL-DUFFING OSCILLATOR WITH THE EFFECT OF HEREDITARY [PDF]
The paper presents a new mathematical model of the van der Pol oscillator, Duffing with external periodic influence given hereditarity. An algorithm for finding the numerical solution of the original model equation, which is based on the finite ...
Novikovа E. R.
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Quantum trajectory phase transitions in the micromaser [PDF]
7 pages, 5 ...
Garrahan, Juan P. +2 more
openaire +3 more sources
On Geometric Phases for Quantum Trajectories [PDF]
Submitted to the Proceedings of the 13th CEWQO 2006 in ...
openaire +2 more sources
Mathematical Modeling of Linear Fractional Oscillators
In this work, based on Newton’s second law, taking into account heredity, an equation is derived for a linear hereditary oscillator (LHO). Then, by choosing a power-law memory function, the transition to a model equation with Gerasimov–Caputo fractional ...
Roman Parovik
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An Application of a Special Method for Designating the Control Forces for the Homing of an Anti-Aircraft Missile on an Aerial Target by Use of a Method of Proportional Navigation [PDF]
An analysis of application feasibility of a special method for surface-to-air missile (SAM) control during homing on an airborne target was carried out in this paper. A prior implementation of the method was motion control for a gyroscope axis with three
Konrad STEFAŃSKI
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Mathematical Model of Fractional Duffing Oscillator with Variable Memory
The article investigates a mathematical model of the Duffing oscillator with a variable fractional order derivative of the Riemann–Liouville type. The study of the model is carried out using a numerical scheme based on the approximation of the fractional
Valentine Kim, Roman Parovik
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Stochastic dynamics of single molecules across phase boundaries
We discuss the stochastic trajectories of single molecules in a phase-separated liquid, when a dense and a dilute phase coexist. Starting from a continuum theory of macroscopic phase separation we derive a stochastic Langevin equation for molecular ...
Stefano Bo +4 more
doaj +1 more source

