PhysicsMauro, D. (2002). Topics in Koopman–von Neumann theory. PhD thesis, Università degli Studi di Trieste. arXiv:quant-ph/0301172 [quant-ph].D. Mauro, Topics in Koopman-von Neumann theory, Ph.D. Thesis, Univ. Trieste (2003), arXiv:quant-ph/0301172....
In this paper we present the Koopman-von Neumann (KvN) formulation of classical non-Abelian gauge field theories. In particular we shall explore the functional (or classical path integral) counterpart of the KvN method. In the quantum path integral quantization of Yang-Mills theories concepts like...
摘要: 有限域上的二次Fourier分析是加法组合的一个重要方面,其内容主要涉及关于‖.‖U3(三次Gowers范数)的逆定理与Koopman-von Neumann分解(3-KvN),研究与‖.‖Ud相应的d-KvN成为一个自然的问题.本研究给出了d-KvN的一种形式.关键词:Gowers范数 d次因子 能量增长估计 ...
1, of the operatorial formulation of classical mechanics given by Koopman and von Neumann (KvN) in the 1930s. In particular, we show that the introduction of the KvN Hilbert space of complex and square integrable "wave functions" requires an enlargement of the set of the observables of ...
Koopman–von Neumann theoryDerivation of Schrödinger equationQuantum–classical relationKoopman and von Neumann (KvN) extended the Liouville equation by introducing a phase space function $S^{(K)}(q,p,t)$ whose physical meaning is unknown. We show that a different $S(q,p,t)$, with well-...
D. Mauro, Topics in Koopman-von Neumann theory, Ph.D. Thesis, Univ. Trieste (2003), arXiv:quant-ph/0301172.Mauro, D. Topics in Koopman-von Neumann Theory. Ph.D. thesis.E. Gozzi and D. Mauro, "Minimal coupling in Koopman-von Neumann theory," An- nals Phys. 296, 152-186 (2002...
Koopman-von Neumann Formulation of Classical Yang-Mills Theories: III”, in preparation. 45 - Gozzi - 1970 () Citation Context ...ent to a different one built out of the BFV formalism. In this first paper we have concentrated in building rigorously the formalism and the various universal ...
D. Mauro, "On Koopman-von Neumann Waves", Int. J. Mod. Phys. A17, 1301 (2002); quant-ph/0105112; E. Gozzi and D. Mauro, "On Koopman-von Neumann Waves II", quant-ph/0306029; D. Mauro, "Topics in Koopman-von Neumann Theory", quant-ph/0301172, Ph.D. thesis.Mauro, D.: On ...
(2002), “2D vortex motion of an incompresible ideal fluid: the Koopman-von Neumann approach”, Infinite Dimens. Anal. Quantum Prob., in pressAF03. S. Albeverio and B. Ferrario. 2D vortex motion of an incompressible ideal fluid: the Koopman-von Neumann approach. Infin. Dimens. Anal. ...
1, of the operatorial formulation of classical mechanics given by Koopman and von Neumann (KvN) in the 1930s. In particular, we show that the introduction of the KvN Hilbert space of complex and square integrable "wave functions" requires an enlargement of the set of the observables of ...