Free-fall in a uniform gravitational field in noncommutative quantum mechanics

DOI10.1063/1.3466812zbMath1314.81109arXiv0803.0981OpenAlexW2167331429MaRDI QIDQ5253942

K. H. C. Castello-Branco, António G. Martins

Publication date: 5 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0981

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) (2)-body potential quantum scattering theory (81U05) Noncommutative geometry in quantum theory (81R60)

Related Items (4)

Effective dynamics of the quantum falling particle ⋮ Two-dimensional noncommutative gravitational quantum well ⋮ Composite system in noncommutative space and the equivalence principle ⋮ Twist-deformed gravitational quantum well

Cites Work

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• On the equivalence principle in quantum theory
• Time-space non-commutativity in gravitational quantum well scenario
• Constructing quantum observables and self-adjoint extensions of symmetric operators. III. self-adjoint boundary conditions
• Spin-statistics and CPT theorems in noncommutative field theory
• String theory and noncommutative geometry
• Physical instances of noncommuting coordinates
• The quantum structure of spacetime of the Planck scale and quantum fields
• Noncommutative quantum mechanics
• Modified Newton's law, braneworlds, and the gravitational quantum well
• Ultracold neutrons, quantum effects of gravity and the weak equivalence principle
• Quantum mechanics and the equivalence principle
• The Weyl–Heisenberg group on the noncommutative two-torus: a zoo of representations
• Weyl–Wigner formulation of noncommutative quantum mechanics
• Quantized Space-Time
• Noncommutative field theory
• Noncommutative gravity
• Quantum theory: concepts and methods
• Quantum field theory on noncommutative spaces
• Space/time non-commutativity and causality
• Space-time noncommutative field theories and unitarity
• Testing non-commutative QED, constructing non-commutative MHD

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