scholarly journals QUANTUM INTERFERENCE EFFECTS IN SPACETIME OF SLOWLY ROTATING COMPACT OBJECTS IN BRANEWORLD

2010 ◽  
Vol 25 (04) ◽  
pp. 243-256 ◽  
Author(s):  
A. I. MAMADJANOV ◽  
A. A. HAKIMOV ◽  
S. R. TOJIEV

The relativistic quantum interference effects in the spacetime of slowly rotating object in braneworld as the Sagnac effect and phase shift effect of interfering particle in neutron interferometer are derived in unified way. It is found that in the case of the Sagnac effect, the influence of brane parameter is becoming important due to the fact that the angular velocity of the locally non-rotating observer is increased by the brane tension. In the case of neutron interferometry, it is found that an additional term in the phase shift of interfering particle emerges due to the presence of the brane parameter Q*. From the obtained expressions of phase shift in Mach–Zehnder interferometer upper limit for brane parameter has been estimated. From the results of the recent experiments we have obtained upper limit for the tidal charge as Q* ≲ 107 cm 2. Finally, as an example, we apply the obtained results to the calculation of the (ultra-cold neutrons) energy level modification in the gravitational field of slowly rotating gravitating object in the braneworld.

2009 ◽  
Vol 18 (01) ◽  
pp. 107-118 ◽  
Author(s):  
V. S. MOROZOVA ◽  
B. J. AHMEDOV

General relativistic quantum interference effects in a slowly rotating NUT space–time, such as the Sagnac effect and the phase shift effect of interfering particles in a neutron interferometer, are considered. It was found that in the case of the Sagnac effect, the influence of the NUT parameter is becoming important due to the fact that the angular velocity of the locally nonrotating observer must be larger than the one in the Kerr space–time. In the case of neutron interferometry, it is found that due to the presence of the NUT parameter, an additional term in the phase shift of interfering particles emerges. This term can be, in principle, detected by a sensitive interferometer and the derived results could be further used in experiments to detect the gravitomagnetic charge. Finally, as an example, we apply the obtained results to the calculation of the UCN (ultra-cold neutrons) energy level modification in a slowly rotating NUT space–time.


2010 ◽  
Vol 25 (37) ◽  
pp. 3115-3127 ◽  
Author(s):  
ABDULLO HAKIMOV ◽  
BOBUR TURIMOV ◽  
AHMADJON ABDUJABBAROV ◽  
BOBOMURAT AHMEDOV

The relativistic quantum interference effects in the spacetime of slowly rotating object in the Hořava–Lifshitz gravity as the Sagnac effect and phase shift of interfering particle in neutron interferometer are derived. We consider the extension of Kehagias–Sfetsos (KS) solution48 in the Hořava–Lifshitz gravity for the slowly rotating gravitating object. Using the covariant Klein–Gordon equation in the nonrelativistic approximation, it is shown that the phase shift in the interference of particles includes the gravitational potential term with the KS parameter ω. It is found that in the case of the Sagnac effect, the influence of the KS parameter ω is becoming important due to the fact that the angular velocity of the locally non-rotating observer is increased in Hořava gravity. From the results of the recent experiments50 we have obtained lower limit for the coupling KS constant as ω ≃ 1.25 ⋅10-25 cm -2. Finally, as an example, we apply the obtained results to the calculation of the UCN (ultra-cold neutrons) energy level modification in the gravitational field of slowly rotating gravitating object in the Hořava–Lifshitz gravity.


2017 ◽  
Vol 32 (19n20) ◽  
pp. 1750116 ◽  
Author(s):  
Abdullo Hakimov ◽  
Ahmadjon Abdujabbarov ◽  
Bakhtiyor Narzilloev

We investigate the effects of conformal gravity as a phase shift by quantum interference and alternate approach of Sagnac effect which is based on the anisotropy of the coordinate speed of light in the fourth-order theory of conformal Weyl space–time. In the nonrelativistic approximation, it has been shown that the phase shift of the interfering particle in neutron interferometer includes the potential terms with the Weyl parameter of the conformal fourth-order theory. Comparing the results of the measurement of the gravitational redshift by the interferometer in the gravitational field of the earth with our theoretical prediction, it has been obtained upper limit for the Weyl parameter as [Formula: see text].


1994 ◽  
Vol 194-196 ◽  
pp. 1109-1110 ◽  
Author(s):  
M.E. Gershenson ◽  
P.M. Echternach ◽  
H.M. Bozler ◽  
A.L. Bogdanov ◽  
B. Nilsson

1983 ◽  
Vol 61 (12) ◽  
pp. 1648-1654 ◽  
Author(s):  
N. H. Rich ◽  
A. R. W. McKellar

The absorption spectrum of the ν = 1 ← 0 band of HD has been investigated at a temperature of 77 K and for densities in the range of 15 to 140 amagat. The band consists of two components: a broad collision-induced quasi continuum arising from dipoles induced during molecular collisions; and a dipole-allowed part arising from the small permanent electric dipole moment of the free HD molecule. The interference effects which occur between these two components were studied for the dipole-allowed R1(0) and R1(1) transitions. These transitions exhibited increasingly large asymmetries and changes in intensity at high density, but their behaviours were quite different from each other. The shape of each transition could be well represented by a series of Fano line profiles, and the evolution of shape and intensity with density could be accounted for by the formulation of Herman, Tipping, and Poll. However, the precise interpretation of the phase shift parameters arising in the theory is not clear.


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