scholarly journals Aharonov–Bohm Scattering for Relativistic Particles in $$(3 + 1)$$-Dimensional Noncommutative Space with Spin Dependence

2021 ◽  
Author(s):  
C. A. Stechhahn
Keyword(s):  
Noncommutative Space ◽  
Spin Dependence ◽  
Aharonov Bohm ◽  
Relativistic Particles

SPIN DEPENDENCE OF THE AHARONOV—BOHM EFFECT

1991 ◽  
Vol 06 (18) ◽  
pp. 3119-3149 ◽  
Author(s):  
C.R. HAGEN
Keyword(s):  
Wave Equations ◽  
Virial Coefficient ◽  
Arbitrary Spin ◽  
Relativistic Wave Equation ◽  
Spin Dependence ◽  
Polarized Beams ◽  
Bohm Effect ◽  
Spinless Case ◽  
Aharonov Bohm ◽  
Covariant Field

The problem of the proper inclusion of spin in Aharonov—Bohm scattering is considered. It is proposed that this should be accomplished by imposing the requirement that all singularities arising from the presence of spin in the associated wave equations be interpreted as limits of physically realizable flux distributions. This leads to results which confirm the usual cross section in the spinless case but imply nontrivial modifications for the scattering of a polarized spin one-half beam. By applying the technique to a calculation of the virial coefficient for a collection of flux carrying spin one-half particles, some severe obstacles to conventional views of the flux as a parameter which interpolates between bosonic and fermionic statistics are shown to occur. Although similar results for the scattering of arbitrary spin particles obtain in the Galilean limit, it is found that when spin one is considered in the context of a relativistic wave equation the singularity structure is too pathological to yield a consistent interpretation. The exact equivalence of the spin one-half Aharonov-Bohm effect to the Aharonov-Casher effect is also demonstrated and corresponding results for polarized beams are presented. Finally, it is shown that the Aharonov-Bohm effect for arbitrary spin in the Galilean limit is the exact solution in the two-particle sector of a Galilean covariant field theory.

scholarly journals Time-dependent Aharonov–Bohm effect on the noncommutative space

2016 ◽  
Vol 759 ◽  
pp. 306-312 ◽  
Author(s):  
Kai Ma ◽  
Jian-Hua Wang ◽  
Huan-Xiong Yang
Keyword(s):  
Time Dependent ◽  
Noncommutative Space ◽  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals POSITION OPERATORS AND CENTER-OF-MASS: NEW PERSPECTIVES

2013 ◽  
Vol 28 (29) ◽  
pp. 1350146 ◽  
Author(s):  
P. AGUILAR ◽  
C. CHRYSSOMALAKOS ◽  
H. HERNANDEZ CORONADO ◽  
E. OKON
Keyword(s):  
Special Relativity ◽  
Poisson Bracket ◽  
Ad Hoc ◽  
Center Of Mass ◽  
Space Time ◽  
Noncommutative Space ◽  
Curved Space ◽  
New Criteria ◽  
Relativistic Particles ◽  
Rule Out

After reviewing the work of Pryce on Center-of-Mass (CoM) definitions in special relativity, and that of Jordan and Mukunda on position operators for relativistic particles with spin, we propose two new criteria for a CoM candidate: associativity, and compatibility with the Poisson bracket structure. We find that they are not satisfied by all of Pryce's definitions, and they also rule out Dixon's CoM generalization to the curved space–time case. We also emphasize that the various components of the CoM position do not commute among themselves, in the general case, and thus provide a natural entry point to the arena of noncommutative space–time, without the ad-hoc assumptions of the standard paradigm.

scholarly journals Aharonov-Bohm Phase for an Electric Dipole on a Noncommutative Space

2016 ◽  
Vol 4 ◽  
Author(s):  
Mamut Ababekri ◽  
Abduwali Anwar ◽  
Mamatabdulla Hekim ◽  
Reyima Rashidin
Keyword(s):  
Electric Dipole ◽  
Noncommutative Space ◽  
Aharonov Bohm

Supernovae and interstellar gas dynamics

1967 ◽  
Vol 31 ◽  
pp. 117-119
Author(s):  
F. D. Kahn ◽  
L. Woltjer
Keyword(s):  
Lower Limit ◽  
High Velocity ◽  
Gas Dynamics ◽  
Interstellar Cloud ◽  
Interstellar Gas ◽  
Random Motions ◽  
Relativistic Particles

The efficiency of the transfer of energy from supernovae into interstellar cloud motions is investigated. A lower limit of about 0·002 is obtained, but values near 0·01 are more likely. Taking all uncertainties in the theory and observations into account, the energy per supernova, in the form of relativistic particles or high-velocity matter, needed to maintain the random motions in the interstellar gas is estimated as 1051·4±1ergs.

Singlet scalar dark matter in noncommutative space

2019 ◽  
Vol 19 (2) ◽  
pp. 455-461
Author(s):  
Z Rezaei ◽  
T Alizadeh ◽  
◽  
Keyword(s):  
Dark Matter ◽  
Noncommutative Space
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