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On gauge invariance, dissipative quantum mechanics and self-adjoint sets

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  • El Naschie, M.S.

Abstract

The prolongation method which combines a dissipative and a flutter system to a conservative one is reconsidered in connection with ‘t Hooft’s recent proposal regarding a dissipative quantum mechanics.

Suggested Citation

  • El Naschie, M.S., 2007. "On gauge invariance, dissipative quantum mechanics and self-adjoint sets," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 271-273.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:271-273
    DOI: 10.1016/j.chaos.2006.09.017
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    References listed on IDEAS

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    1. Giné, Jaume, 2006. "On the origin of quantum mechanics," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 532-541.
    2. El Naschie, M.S., 2007. "On the topological ground state of E-infinity spacetime and the super string connection," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 468-470.
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    Cited by:

    1. Wu, Guo-cheng, 2009. "Prolongation approach to Lax pairs and Bäcklund transformation of the variable coefficient KdV equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 408-411.
    2. Shams, M. & Vaezpour, S.M., 2009. "Best approximation on probabilistic normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1661-1667.
    3. El Naschie, M.S., 2007. "SU(5) grand unification in a transfinite form," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 370-374.
    4. Giné, Jaume, 2008. "On the origin of the deflection of light," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 1-6.
    5. He, Ji-Huan & Xu, Lan & Zhang, Li-Na & Wu, Xu-Hong, 2007. "Twenty-six dimensional polytope and high energy spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 5-13.
    6. Alimohammady, Mohsen & Esmaeli, Abdolreza & Saadati, Reza, 2009. "Completeness results in probabilistic metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 765-769.
    7. Musielak, Z.E., 2009. "General conditions for the existence of non-standard Lagrangians for dissipative dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2645-2652.

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