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A Moyal quantization of the continuous Toda field
ArticleAbstract: Since the lightcone self dual spherical membrane, moving in flat target backgrounds, has a direct coPalabras claves:Autores:Carlos CastroFuentes:scopusBohm's potential, classical/quantum duality and repulsive gravity
ArticleAbstract: We propose the notion of a classical/quantum duality in the gravitational case (it can be extended tPalabras claves:(Repulsive) gravity, Bohm's potential, quantum mechanicsAutores:Carlos CastroFuentes:scopusHow the new scale relativity theory resolves some quantum paradoxes
ArticleAbstract: It is explicitly shown that within the framework of the New Relativity Theory, some Quantum MechanicPalabras claves:Autores:Carlos Castro, Granik A.Fuentes:scopusExtended scale relativity, p-loop harmonic oscillator, and logarithmic corrections to the black hole entropy
ArticleAbstract: An extended scale relativity theory, actively developed by one of the authors, incorporates Nottale'Palabras claves:black holes, Extended relativity, stringsAutores:Carlos Castro, Granik A.Fuentes:scopusIs quantum space-time infinite dimensional
ArticleAbstract: The stringy uncertainty relations, and corrections thereof, were explicitly derived recently from thPalabras claves:Autores:Carlos CastroFuentes:scopusString representation of quantum loops
ArticleAbstract: We recover a general representation for the quantum state of a relativistic closed line (loop) in tePalabras claves:Autores:Ansoldi S., Carlos Castro, Spallucci E.Fuentes:scopusString theory, scale relativity and the generalized uncertainty principle
ArticleAbstract: Extensions (modifications) of the Heisenberg uncertainty principle are derived within the frameworkPalabras claves:Fractals, Planck length, Quantum gravity, Scale relativity, strings, Uncertainty principleAutores:Carlos CastroFuentes:scopusThe Clifford-Yang algebra, noncommutative Clifford phase spaces and the deformed quantum oscillator
ArticleAbstract: We construct the novel Clifford-Yang algebra which is an extension of the Yang algebra in noncommutaPalabras claves:Clifford algebras, noncommutative geometry, quantum mechanics, Yang AlgebraAutores:Carlos CastroFuentes:scopusNonlinear corrections to the Schrödinger equation from geometric quantum mechanics
ArticleAbstract: The nonlinear corrections to the Schrödinger equation based on the results of geometric quantum mechPalabras claves:Autores:Carlos CastroFuentes:scopusNonlinear quantum mechanics as weyl geometry of a classical statistical ensemble
ArticleAbstract: We derive nonlinear relativistic and non-relativistic wave equations for spin-0 and 1/2 particles. FPalabras claves:Dirac equation, Klein-Gordon equation, Schrödinger equation, Weyl geometryAutores:Carlos CastroFuentes:scopus