scholarly journals Confining massless Dirac particles in two-dimensional curved space

2018 ◽  
Vol 98 (15) ◽  
Author(s):  
Kyriakos Flouris ◽  
Miller Mendoza Jimenez ◽  
Jens-Daniel Debus ◽  
Hans J. Herrmann
Keyword(s):  
Two Dimensional ◽  
Curved Space ◽  
Dirac Particles

Wolf effect of partially coherent light fields in two-dimensional curved space

2018 ◽  
Vol 97 (6) ◽  
Author(s):  
Chenni Xu ◽  
Adeel Abbas ◽  
Li-Gang Wang ◽  
Shi-Yao Zhu ◽  
M. Suhail Zubairy
Keyword(s):  
Light Fields ◽  
Two Dimensional ◽  
Coherent Light ◽  
Curved Space ◽  
Partially Coherent ◽  
Partially Coherent Light

Holstein–Primakoff realization of Higgs algebra and its q-extension

2014 ◽  
Vol 29 (10) ◽  
pp. 1450050 ◽  
Author(s):  
Won Sang Chung
Keyword(s):  
Quantum Mechanics ◽  
Kepler Problem ◽  
Heisenberg Algebra ◽  
Two Dimensional ◽  
Curved Space ◽  
Higgs Algebra ◽  
Quadratic Deformation

In this paper, Holstein–Primakoff realization of Higgs algebra is obtained by using the linear (or quadratic) deformation of Heisenberg algebra and q-deformed Higgs algebra is proposed. Some applications such as Kepler problem in a two-dimensional curved space and SUSY quantum mechanics are also discussed.

scholarly journals Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Ehab Malkawi ◽  
D. Baleanu
Keyword(s):  
Fractional Calculus ◽  
Exact Solutions ◽  
Caputo Derivative ◽  
Dimensional Space ◽  
Two Dimensional ◽  
Curved Space ◽  
Killing Vectors ◽  
Constant Of Motion ◽  
Christoffel Symbols

The classical free Lagrangian admitting a constant of motion, in one- and two-dimensional space, is generalized using the Caputo derivative of fractional calculus. The corresponding metric is obtained and the fractional Christoffel symbols, Killing vectors, and Killing-Yano tensors are derived. Some exact solutions of these quantities are reported.

Quantum vacuum stress without regularization in two-dimensional space-time

1977 ◽  
Vol 354 (1679) ◽  
pp. 529-532 ◽  
Keyword(s):  
Stress Tensor ◽  
Dimensional Space ◽  
Space Time ◽  
Massless Scalar ◽  
Two Dimensional ◽  
Quantum Vacuum ◽  
Curved Space ◽  
Spinor Fields ◽  
Dimensional Space Time ◽  
Point Splitting

It is proved that there is a unique conserved stress tensor possessing a local trace, in the two-dimensional quantum theory of massless scalar and spinor fields propagating in curved space-time. No regularization is therefore required to obtain explicit expressions for the stress tensor. The results agree exactly with earlier expressions obtained from point-splitting regularization.

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