SOLUTIONS FOR THE LANDAU PROBLEM USING SYMPLECTIC REPRESENTATIONS OF THE GALILEI GROUP

DOI10.1142/S0217751X13500139zbMath1260.81149MaRDI QIDQ4913805

R. G. G. Amorim, J. David M. Vianna, Ademir E. Santana, Marco C. B. Fernandes, Faqir C. Khanna

Publication date: 9 April 2013

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

zbMATH Keywords

Wigner functionphase spaceLandau problemMoyal productquantum fieldsgalilei group

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Geometric quantization (53D50)

Related Items (3)

Phase space Schrödinger equation and quadratic friction ⋮ On scalar electromagnetism in phase space ⋮ Non-abelian gauge symmetry for fields in phase space: a realization of the Seiberg-Witten non-abelian gauge theory

Cites Work

• Unnamed Item
• Unnamed Item
• The Cangemi-Jackiw manifold in high dimensions and symplectic structure
• Galilean-covariant Clifford algebras in the phase-space representation
• The non-commutative oscillator, symmetry and the Landau problem
• What are the bounds on space-time non-commutativity?
• A covariant generalization of the real-time Green's functions method in the theory of kinetic equations
• Symplectic quantum mechanics
• Non-commutative geometry and symplectic field theory
• REVIEW OF THE PHENOMENOLOGY OF NONCOMMUTATIVE GEOMETRY
• Wigner trajectory characteristics in phase space and field theory
• DEFORMATION QUANTIZATION: QUANTUM MECHANICS LIVES AND WORKS IN PHASE-SPACE
• Galilean Duffin Kemmer Petiau algebra and symplectic structure
• Poincaré-Lie algebra and relativistic phase space
• Orbital magnetism of a two-dimensional noncommutative confined system
• WIGNER FUNCTIONS FOR THE LANDAU PROBLEM IN NONCOMMUTATIVE SPACES
• Semi-classical propagation of wavepackets for the phase space Schrödinger equation: interpretation in terms of the Feichtinger algebra
• Quantized Space-Time
• Noncommutative field theory
• Quantum field theory on noncommutative spaces
• Noncommutative field theory and spontaneous symmetry breaking
• Renormalization group equations and the Lifshitz point in noncommutative Landau-Ginzburg theory

This page was built for publication: SOLUTIONS FOR THE LANDAU PROBLEM USING SYMPLECTIC REPRESENTATIONS OF THE GALILEI GROUP