Abstract: This study presents a conformational model of the helical structures of globular protein particularly ferritin in the framework of white noise path integral formulation by using Associated Legendre functions, Bessel and convolution of Bessel and trigonometric functions as modulating functions. The model incorporates chirality features of proteins and their helix-turn-helix sequence structural motif.
Abstract: We study the movement of a two-level atom in
interaction with time dependent nonuniform magnetic filed using the
path integral formalism. The propagator is first written in the standard
form by replacing the spin by a unit vector aligned along the polar and
azimuthal directions. Then it is determined exactly using perturbation
methods. Thus the Rabi formula of the system are deduced.
Abstract: We consider a spin-1/2 particle interacting with a time-dependent magnetic field using path integral formalism. The propagator is first of all written in the standard form replacing the spin by two fermionic oscillators via the Schwinger model. The propagator
is then exactly determined, thanks to a simple transformation, and the transition probability is deduced.
Abstract: In present work are considered the scheme of
evaluation the transition probability in quantum system. It is based on
path integral representation of transition probability amplitude and its
evaluation by means of a saddle point method, applied to the part of
integration variables. The whole integration process is reduced to
initial value problem solutions of Hamilton equations with a random
initial phase point. The scheme is related to the semiclassical initial
value representation approaches using great number of trajectories. In
contrast to them from total set of generated phase paths only one path
for each initial coordinate value is selected in Monte Karlo process.