On nonlinear quantum mechanics, noncommutative phase spaces, fractal-scale calculus and vacuum energy
From MaRDI portal
Publication:618794
DOI10.1007/S10701-010-9476-5zbMath1206.81063OpenAlexW2076687574MaRDI QIDQ618794
Publication date: 17 January 2011
Published in: Foundations of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10701-010-9476-5
Quantization of the gravitational field (83C45) NLS equations (nonlinear Schrödinger equations) (35Q55) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Noncommutative geometry in quantum theory (81R60)
Related Items (3)
Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus ⋮ Nonlinear quantum-dynamical system based on the Kadomtsev-Petviashvili II equation ⋮ Path integral formulation of fractionally perturbed Lagrangian oscillators on fractal
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semiclassical universe from first principles
- \(\mathcal P\mathcal T\)-symmetric quantum electrodynamics
- Anyon wave equations and the noncommutative plane
- Exotic galilean symmetry and non-commutative mechanics
- The noncommutative Landau problem
- Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
- The extended relativity theory in Born-Clifford phase spaces with a lower and upper length scales and Clifford group geometric unification
- An explicit *-product on the cotangent bundle of a Lie group
- Kontsevich star product on the dual of a Lie algebra
- Quantum chaos, complex spectral representations and time-symmetry breaking
- Scale relativity, fractal space-time and quantum mechanics
- Noncommutative geometry, negative probabilities and Cantorian-fractal spacetime
- Is quantum space-time infinite dimensional
- Covariance in general relativity and scale-covariance in scale-relativity theory, quadratic invariants and Leibniz rule
- Deformation quantization of Poisson manifolds
- Universal signature of non-quantum systems
- Wrapped Branes as Qubits
- Nonlinear corrections to the Schrödinger equation from geometric quantum mechanics
- Non-Abelian gauge field theory in scale relativity
- Fractional embedding of differential operators and Lagrangian systems
- On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification
- Canonically relativistic quantum mechanics: Representations of the unitary semidirect Heisenberg group, U(1,3)⊗sH(1,3)
- Representations of the canonical group, (the semidirect product of the unitary and Weyl$ndash$Heisenberg groups), acting as a dynamical group on noncommutative extended phase space
- Exotic Galilean symmetry in the non-commutative plane and the Hall effect
- Scale calculus and the Schrödinger equation
- Onn-ary algebras, branes and poly-vector gauge theories in noncommutative Clifford spaces
- Generalized quantum potentials
- A NOVEL APPROACH TO NONCOMMUTATIVITY IN PLANAR QUANTUM MECHANICS
- A suggestion for unifying quantum theory and relativity
- On Quantized Space-Time
- Reciprocity Theory of Elementary Particles
- Model of the Causal Interpretation of Quantum Theory in Terms of a Fluid with Irregular Fluctuations
- Quantum field theory on noncommutative spaces
- The exotic Galilei group and the ``Peierls substitution.
- Anyon spin and the exotic central extension of the planar Galilei group
- Quantum mechanics on the noncommutative plane and sphere
- Two phases of the noncommutative quantum mechanics
This page was built for publication: On nonlinear quantum mechanics, noncommutative phase spaces, fractal-scale calculus and vacuum energy