Deformation quantization: Quantum mechanics lives and works in phase space
نویسندگان
چکیده
منابع مشابه
Deformation Quantization: Quantum Mechanics Lives and Works in Phase-space
Wigner’s quasi-probability distribution function in phase-space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence (eg, quantum computing); quantum chaos; “Welcher Weg” discussions; semiclassical limits. It is also of importance in signal processing. Nevertheless, a remarkable aspect of its...
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The aim of this paper is to give a basic overview of Deformation Quantization (DQ) to physicists. A summary is given here of some of the key developments over the past thirty years in the context of physics, from quantum mechanics to quantum field theory. Also, we discuss some of the conceptual advantages of DQ and how DQ may be related to algebraic quantum field theory. Additionally, our previ...
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Phase Space is the framework best suited for quantizing superintegrable systems— systems with more conserved quantities than degrees of freedom. In this quantization method, the symmetry algebras of the hamiltonian invariants are preserved most naturally, as illustrated on nonlinear σ -models, specifically for Chiral Models and de Sitter N-spheres. Classically, the dynamics of superintegrable m...
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ژورنال
عنوان ژورنال: EPJ Web of Conferences
سال: 2014
ISSN: 2100-014X
DOI: 10.1051/epjconf/20147802004