Properties 1–3 are quite straightforward to prove by using the definition of commutator, and as such will not be considered at this point. Here we provide the proof of property 4. It is convenient to establish a connection between wave quantum mechanics and matrix quantum mechanics. In wave ...
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Other examples from quantum mechanics are the Liouville–von-Neumann equation for the density operator ρ(t) or master equations for dissipative systems [2]. Analytical solutions of such equations can be found only in a very limited number of cases. In most situations one must resort to ...
quantum field theoryquantum mechanics quantum field theory/lee model with unstable v particle in, equal-time commutator inelementary particle models/lee, with unstable v particle, equal-time commutator inA number of statements about properties relevant to the real physical theories, illustrated by the...
Noncommutative quantum mechanics can be viewed as a quantum system represented in the space of Hilbert-Schmidt operators acting on noncommutative configura... S Gangopadhyay,FG Scholtz - 《Physical Review Letters》 被引量: 72发表: 2009年 Stress-Tensor Commutators and Schwinger Terms We investigate,...
On account of drive specific properties, the motor shaft may perform two steps c... A Sikora,A Zielonka - 《Wydawnictwo Druk Art Sc》 被引量: 5发表: 2010年 On the E10/massive IIA correspondence In this paper we investigate in detail the correspondence between E10 and Romans' massive ...
More precisely, we study an atom (an *-algebra of (quasi-local) observables for the quantum system in question, the dynamics of the system is generated by a Liouville operator acting on a positive temperature Hilbert space. Many key properties of the system, such as return to equilibrium (...
quantum mechanicsUV/IRAdS/CFTWe show that a suitably chosen position-momentum commutator can elegantly describe many features of gravity, including the IR/UV correspondence and dimensional reduction (`holography'). Using the most simplistic example based on dimensional analysis of black holes, we ...
The cases of real functions, quantum coordinate and momentum operators, time and Liouville operator, and quantum time and energy operators, are analyzed within this formalism. This procedure allows the elucidation of the properties of time in classical and quantum mechanics....
commutator bracket; quaternions; magnetic moments; angular momentum; quantum mechanics1. Introduction In quantum mechanics, particles are described by relativistic or non-relativistic wave equations. Each equation associates a spin state of the particle to its wave equation. For instance, the ...