Rabi oscillations in gravitational fields: Exact solution via path integral

2002 ◽  
Vol 25 (2) ◽  
pp. 333-338 ◽  
Author(s):  
M. Aouachria ◽  
L. Chetouani
Keyword(s):  
Exact Solution ◽  
Path Integral ◽  
Rabi Oscillations ◽  
Gravitational Fields

Rabi oscillations in gravitational fields: Exact solution

1995 ◽  
Vol 203 (2-3) ◽  
pp. 59-67 ◽  
Author(s):  
Claus Lämmerzahl ◽  
Christian J. Bordé
Keyword(s):  
Exact Solution ◽  
Rabi Oscillations ◽  
Gravitational Fields

scholarly journals QUANTUM NONDEMOLITION MEASUREMENTS OF A PARTICLE IN ELECTRIC AND GRAVITATIONAL FIELDS

2001 ◽  
Vol 10 (06) ◽  
pp. 859-868 ◽  
Author(s):  
A. CAMACHO ◽  
A. CAMACHO-GALVÁN
Keyword(s):  
Charged Particle ◽  
Path Integral ◽  
Equivalence Principle ◽  
Continuous Monitoring ◽  
Spherical Body ◽  
Quantum Level ◽  
Integral Formalism ◽  
Measuring Device ◽  
Gravitational Fields ◽  
Quantum Nondemolition

In this work we obtain a nondemolition variable for the case in which a charged particle moves in the electric and gravitational fields of a spherical body. Afterwards we consider the continuous monitoring of this nondemolition parameter, and calculate, along the ideas of the so called restricted path integral formalism, the corresponding propagator. Using these results the probabilities associated with the possible measurement outputs are evaluated. The limit of our results, as the resolution of the measuring device goes to zero, is analyzed, and the dependence of the corresponding propagator upon the strength of the electric and gravitational fields is commented. The role that mass plays in the corresponding results, and its possible connection with the equivalence principle at quantum level, are studied.

Exact spin coherent state path integral for a two-level atom in gravitational fields

2011 ◽  
Vol 89 (11) ◽  
pp. 1141-1148 ◽  
Author(s):  
Mekki Aouachria
Keyword(s):  
Electromagnetic Wave ◽  
Path Integral ◽  
Standard Form ◽  
Unit Vector ◽  
Wave Functions ◽  
Integral Formalism ◽  
Gravitational Fields ◽  
Spin Coherent State ◽  
Level Atom ◽  
State Path

The movement of a two-level atom interacting with an electromagnetic wave while subject to gravity is studied using path-integral formalism. The propagator is first written in a standard form, ∫[Formula: see text](path) exp(i/ℏ)S(path), by replacing the spin with a unit vector aligned along the polar and azimuthal directions to determine the propagator exactly. Thus, the exact wave functions of the system are deduced.

SOME PHYSICAL APPLICATIONS OF THE HEAT KERNEL EXPANSION

1988 ◽  
Vol 03 (06) ◽  
pp. 599-605 ◽  
Author(s):  
GUIDO COGNOLA ◽  
SERGIO ZERBINI
Keyword(s):  
Zeta Function ◽  
Heat Kernel ◽  
Path Integral ◽  
Dirac Fermions ◽  
Systematic Analysis ◽  
Gravitational Fields ◽  
Heat Kernel Expansion

A systematic analysis of anomalies, for Dirac fermions in external gravitational fields with nonvanishing torsion, is performed using a method based on Euclidean path integral, zeta function regularization and heat kernel expansion. Many known results are recovered and some new ones have been found.

scholarly journals Exact treatment of time-dependent axisymmetric gravitation

1993 ◽  
Vol 440 (1910) ◽  
pp. 711-715 ◽  
Keyword(s):  
Exact Solution ◽  
Time Dependent ◽  
New Method ◽  
Vacuum Field ◽  
Axially Symmetric ◽  
Field Equations ◽  
Canonical Solution ◽  
Gravitational Fields ◽  
Einstein Vacuum

This paper extends an earlier treatment of time-dependent gravitational fields that are axially symmetric and non-rotating. From a consideration of the canonical solution of the Einstein vacuum field equations previously obtained as an axial expansion, a new method has been found that now provides the exact solution, whenever a certain generative key function X ( t , z ) is known.

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