메뉴 건너뛰기




Volumn 42, Issue 5, 2009, Pages 2614-2622

Fractional Dirac operators and deformed field theory on Clifford algebra

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; LINEAR EQUATIONS;

EID: 67651230450     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.04.002     Document Type: Article
Times cited : (39)

References (41)
  • 5
    • 0003427295 scopus 로고    scopus 로고
    • Hilfer R. (Ed), Word Scientific Publishing Co., New Jersey, London, elmh6b Hong Kong
    • In: Hilfer R. (Ed). Applications of fractional calculus in physics (2000), Word Scientific Publishing Co., New Jersey, London, elmh6b Hong Kong
    • (2000) Applications of fractional calculus in physics
  • 6
    • 34848873466 scopus 로고    scopus 로고
    • Fractional dynamics and the TeV regime of field theory particle
    • Goldfain E. Fractional dynamics and the TeV regime of field theory particle. Commun Nonlin Sci Numer Simul 13 3 (2008) 666
    • (2008) Commun Nonlin Sci Numer Simul , vol.13 , Issue.3 , pp. 666
    • Goldfain, E.1
  • 7
    • 0035399395 scopus 로고    scopus 로고
    • Simple solutions of the fractional Dirac equation of order 2/3
    • Raspini A. Simple solutions of the fractional Dirac equation of order 2/3. Phys Scr 64 (2000) 20
    • (2000) Phys Scr , vol.64 , pp. 20
    • Raspini, A.1
  • 8
    • 1842674323 scopus 로고    scopus 로고
    • Relativistic wave equations with fractional derivatives and pseudo-differential operators
    • Zàvada P.J. Relativistic wave equations with fractional derivatives and pseudo-differential operators. J Appl Math 2 4 (2002) 163
    • (2002) J Appl Math , vol.2 , Issue.4 , pp. 163
    • Zàvada, P.J.1
  • 9
    • 0034695911 scopus 로고    scopus 로고
    • On some possible generalizations of fractional Brownian motion
    • Lim C., and Muniandy S.V. On some possible generalizations of fractional Brownian motion. Phys Lett A 266 2 (2004) 140-145
    • (2004) Phys Lett A , vol.266 , Issue.2 , pp. 140-145
    • Lim, C.1    Muniandy, S.V.2
  • 10
    • 1842736221 scopus 로고    scopus 로고
    • Stochastic quantization of nonlocal fields
    • Lim C., and Muniandy S.V. Stochastic quantization of nonlocal fields. Phys Lett A 324 5-6 (2004) 396
    • (2004) Phys Lett A , vol.324 , Issue.5-6 , pp. 396
    • Lim, C.1    Muniandy, S.V.2
  • 11
    • 67651212672 scopus 로고    scopus 로고
    • Hermann R. Gauge invariance in fractional field theories. arXiv:0708.2262.
    • Hermann R. Gauge invariance in fractional field theories. arXiv:0708.2262.
  • 12
    • 53949121980 scopus 로고    scopus 로고
    • Continuous differential operators and a new interpretation of the charmonium spectrum
    • arXiv:nucl-th/0508033
    • Hermann V. Continuous differential operators and a new interpretation of the charmonium spectrum. arXiv:nucl-th/0508033.
    • Hermann, V.1
  • 13
    • 67651245868 scopus 로고    scopus 로고
    • Herrmann R. Fractional spin - a property of particles described with a fractional Schrödinger equation. arXiv:0805.3434 [physics.gen-ph].
    • Herrmann R. Fractional spin - a property of particles described with a fractional Schrödinger equation. arXiv:0805.3434 [physics.gen-ph].
  • 14
    • 53949121980 scopus 로고    scopus 로고
    • Continuous differential operators and a new interpretation of the charmonium spectrum
    • arXiv:nucl-th/0508033
    • Hermann R. Continuous differential operators and a new interpretation of the charmonium spectrum. arXiv:nucl-th/0508033.
    • Hermann, R.1
  • 15
    • 38049008046 scopus 로고    scopus 로고
    • Fractional dynamics and the standard model for particle physics
    • Goldfain E. Fractional dynamics and the standard model for particle physics. Commun Nonlin Sci Numer Simul 13 (2008) 1397
    • (2008) Commun Nonlin Sci Numer Simul , vol.13 , pp. 1397
    • Goldfain, E.1
  • 16
    • 27744453354 scopus 로고    scopus 로고
    • Complexity in quantum field theory and physics beyond the standard model
    • Goldfain E. Complexity in quantum field theory and physics beyond the standard model. Chaos, Solitons & Fractals 28 (2006) 913
    • (2006) Chaos, Solitons & Fractals , vol.28 , pp. 913
    • Goldfain, E.1
  • 17
    • 2142704418 scopus 로고    scopus 로고
    • Fractional dynamics, Cantorian spacetime and the gauge hierarchy problem
    • Goldfain E. Fractional dynamics, Cantorian spacetime and the gauge hierarchy problem. Chaos, Solitons & Fractals 22 (2004) 513
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 513
    • Goldfain, E.1
  • 18
    • 18444375584 scopus 로고    scopus 로고
    • A guide to the mathematics of E-Infinity Cantorian spacetime theory
    • El Naschie M.S. A guide to the mathematics of E-Infinity Cantorian spacetime theory. Chaos, Solitons & Fractals 25 5 (2005) 955
    • (2005) Chaos, Solitons & Fractals , vol.25 , Issue.5 , pp. 955
    • El Naschie, M.S.1
  • 19
    • 22344456240 scopus 로고    scopus 로고
    • Hilbert space, the number of Higgs particles and the quantum two-slit experiment
    • El Naschie M.S. Hilbert space, the number of Higgs particles and the quantum two-slit experiment. Chaos, Solitons & Fractals 27 1 (2006) 9
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.1 , pp. 9
    • El Naschie, M.S.1
  • 20
    • 22344438470 scopus 로고    scopus 로고
    • Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment
    • El Naschie M.S. Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment. Chaos, Solitons & Fractals 27 1 (2006) 39
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.1 , pp. 39
    • El Naschie, M.S.1
  • 21
    • 0041875919 scopus 로고
    • On the nature of complex time, diffusion and the two slit experiment
    • El Naschie M.S. On the nature of complex time, diffusion and the two slit experiment. Chaos, Solitons & Fractals 5 6 (1995) 1031
    • (1995) Chaos, Solitons & Fractals , vol.5 , Issue.6 , pp. 1031
    • El Naschie, M.S.1
  • 22
    • 0032024079 scopus 로고    scopus 로고
    • On the uncertainty of Cantorian geometry and the two slit experiment
    • El Naschie M.S. On the uncertainty of Cantorian geometry and the two slit experiment. Chaos, Solitons & Fractals 9 3 (1998) 517
    • (1998) Chaos, Solitons & Fractals , vol.9 , Issue.3 , pp. 517
    • El Naschie, M.S.1
  • 23
    • 0031269295 scopus 로고    scopus 로고
    • Fractal gravity and symmetry breaking in a hierarchical Cantorian space
    • El-Naschie M.S. Fractal gravity and symmetry breaking in a hierarchical Cantorian space. Chaos, Solitons & Fractals 8 11 (1997) 1865
    • (1997) Chaos, Solitons & Fractals , vol.8 , Issue.11 , pp. 1865
    • El-Naschie, M.S.1
  • 24
    • 0035124140 scopus 로고    scopus 로고
    • On't Hooft dimensional regularization in E-Infinity space
    • El Naschie M.S. On't Hooft dimensional regularization in E-Infinity space. Chaos, Solitons & Fractals 12 5 (2001) 851
    • (2001) Chaos, Solitons & Fractals , vol.12 , Issue.5 , pp. 851
    • El Naschie, M.S.1
  • 25
    • 44949283665 scopus 로고
    • Quantum mechanics and the possibility of Cantorian space-time
    • El Naschie M.S. Quantum mechanics and the possibility of Cantorian space-time. Chaos, Solitons & Fractals 1 5 (1992) 485
    • (1992) Chaos, Solitons & Fractals , vol.1 , Issue.5 , pp. 485
    • El Naschie, M.S.1
  • 26
    • 17644419311 scopus 로고    scopus 로고
    • On the cohomology and instantons number of E-Infinity Cantorian space-time
    • El Naschie M.S. On the cohomology and instantons number of E-Infinity Cantorian space-time. Chaos, Solitons & Fractals 26 1 (2005) 13
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.1 , pp. 13
    • El Naschie, M.S.1
  • 27
    • 0037774540 scopus 로고    scopus 로고
    • A review of E Infinity theory and the mass spectrum of high energy particle physics
    • El Naschie M.S. A review of E Infinity theory and the mass spectrum of high energy particle physics. Chaos, Solitons & Fractals 19 1 (2004) 209
    • (2004) Chaos, Solitons & Fractals , vol.19 , Issue.1 , pp. 209
    • El Naschie, M.S.1
  • 28
    • 0033899318 scopus 로고    scopus 로고
    • On the unification of the fundamental forces and complex time in the ε(∞) space
    • El Naschie M.S. On the unification of the fundamental forces and complex time in the ε(∞) space. Chaos, Solitons & Fractals 11 (2000) 1149
    • (2000) Chaos, Solitons & Fractals , vol.11 , pp. 1149
    • El Naschie, M.S.1
  • 29
    • 33748929103 scopus 로고    scopus 로고
    • On an eleven dimensional E-Infinity fractal spacetime theory
    • El Naschie M.S. On an eleven dimensional E-Infinity fractal spacetime theory. Int J Nonlin Sci Numer Simul 7 4 (2006) 407
    • (2006) Int J Nonlin Sci Numer Simul , vol.7 , Issue.4 , pp. 407
    • El Naschie, M.S.1
  • 30
    • 33747335475 scopus 로고    scopus 로고
    • The "Discrete" charm of certain eleven dimensional spacetime theories
    • El Naschie M.S. The "Discrete" charm of certain eleven dimensional spacetime theories. Int J Nonlin Sci Numer Simul 7 4 (2006) 477
    • (2006) Int J Nonlin Sci Numer Simul , vol.7 , Issue.4 , pp. 477
    • El Naschie, M.S.1
  • 31
    • 44649143140 scopus 로고    scopus 로고
    • Fractional action-like variational problems
    • and references therein
    • El-Nabulsi R.A., and Torres D.F.M. Fractional action-like variational problems. J Math Phys 49 (2008) 053521 and references therein
    • (2008) J Math Phys , vol.49 , pp. 053521
    • El-Nabulsi, R.A.1    Torres, D.F.M.2
  • 32
    • 67651237408 scopus 로고    scopus 로고
    • Fractional dynamics, fractional weak bosons masses and physics beyond the standard model
    • in press
    • El-Nabulsi RA. Fractional dynamics, fractional weak bosons masses and physics beyond the standard model. Chaos, Solitons & Fractals, in press.
    • Chaos, Solitons & Fractals
    • El-Nabulsi, R.A.1
  • 33
    • 53949090119 scopus 로고    scopus 로고
    • Fractional field theories from multi-dimensional fractional variational problems
    • and references therein
    • El-Nabulsi R.A. Fractional field theories from multi-dimensional fractional variational problems. Int J Geom Methods Mod Phys 5 6 (2008) 863 and references therein
    • (2008) Int J Geom Methods Mod Phys , vol.5 , Issue.6 , pp. 863
    • El-Nabulsi, R.A.1
  • 34
    • 65449185412 scopus 로고    scopus 로고
    • Fractional Lagrangian formulation of general relativity and emergence of complex, spinoriel and noncommutative gravity
    • El-Nabulsi R.A. Fractional Lagrangian formulation of general relativity and emergence of complex, spinoriel and noncommutative gravity. Int J Geom Methods Mod Phys 6 1 (2009) 25
    • (2009) Int J Geom Methods Mod Phys , vol.6 , Issue.1 , pp. 25
    • El-Nabulsi, R.A.1
  • 35
    • 67649613051 scopus 로고    scopus 로고
    • Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems
    • doi:10.1016/j.chaos.2008.10.022
    • El-Nabulsi RA. Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems. Chaos, Solitons & Fractals, doi:10.1016/j.chaos.2008.10.022.
    • Chaos, Solitons & Fractals
    • El-Nabulsi, R.A.1
  • 36
    • 67649610631 scopus 로고    scopus 로고
    • On the fractional minimal length Heisenberg-Weyl uncertainty relation from fractional Riccati generalized momentum operator
    • doi:10.1016/j.chaos.2008.10.031
    • El-Nabulsi RA. On the fractional minimal length Heisenberg-Weyl uncertainty relation from fractional Riccati generalized momentum operator. Chaos, Solitons & Fractals, doi:10.1016/j.chaos.2008.10.031.
    • Chaos, Solitons & Fractals
    • El-Nabulsi, R.A.1
  • 37
    • 34548583736 scopus 로고    scopus 로고
    • Necessary optimality condition for fractional action-like variational approach with Riemann-Liouville derivatives of order (alfa,betta)
    • El-Nabulsi R.A., and Torres D.F.M. Necessary optimality condition for fractional action-like variational approach with Riemann-Liouville derivatives of order (alfa,betta). Math Methods Appl Sci 30 15 (2007) 1931
    • (2007) Math Methods Appl Sci , vol.30 , Issue.15 , pp. 1931
    • El-Nabulsi, R.A.1    Torres, D.F.M.2
  • 40
    • 67651228106 scopus 로고    scopus 로고
    • Jiang W. Dirac operators. Part III of the Cambridge mathematical tripos
    • Jiang W. Dirac operators. Part III of the Cambridge mathematical tripos.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.