[PDF] Top 20 Noncommutative quantum mechanics in a time-dependent background

... become time-dependent ...of time-dependent creation and annihilation operators, standard Glauber coherent states were constructed by means of the displacement operator in a straightfor- ward ... See full document

... the quantum Hall effects [8,9], the harmonic oscillator [10-12], the Fock-Darwin system [13], the coherent states [14], the classical-quantum rela- tion-ship [15], the motion of the spin-1/2 particle under ... See full document

... The outline of this chapter is as follows. In Section 10.1 we give a brief history of the development of quantum mechanics. In Section 10.2 we write down, after some motivation, the Schrodinger wave ... See full document

... own background space-time, there is no logical mess and it is easy to ...this time, it demands the instrument has the ability to differ and display the ... See full document

... with time-dependent mean and ...matrix quantum mechanics, we demonstrate that the quantum Lya- punov exponents are in general smaller than their classical counterparts, and even seem to ... See full document

... among time-like separated events is the main reason to believe in an objective passage of time, an essential feature of the natural and the social world, as well as of our inner mental ... See full document

... It is important to note, to stave o ff counterexamples, that even if particles are not individuals it can still be possible to distinguish them from others of the same kind or reidentify them over time in some ... See full document

... “space- time sedenions”, generating associative noncommutative space-time Clifford ...relativistic quantum mechanics and field theory equations based on sedenionic wave function and ... See full document

... a quantum effect of gravity and as a natural way to regularize quantum field theories ...theory, noncommutative quantum field theory (NCQFT) [2-4], noncommutative geometry [5], ... See full document

... microwave background and the present-day distribution of ...inhomogeneity. Quantum theory comes in as a pro- posed source of the inhomogeneity: the posited scalar field (the ‘inflaton field’) responsible ... See full document

... elastic cross-section can in practice be small even if we expect p to be in most cases compatible with coherent scattering. As the superbradyon rest energy will be much larger than its kinetic energy, the most ... See full document

... classical mechanics is hardly a controversial theory, at least in the following respects: according to this theory the world is made of point-like particles in three-dimensional space, which evolve according to ... See full document

... classical mechanics the conditions under which elementary propositions are claimed to be true or false are determinate independently of the context in which they are expressed, in contradistinction, the ... See full document

... In the foregoing an ambitious trajectory has been followed. Starting with Greek philosophy and following the approach of Aristotle, a solution to the antinomy of AT is presented. The solution Aristotle offers is that the ... See full document

... in quantum mechanics. It defined the basic features of two-quantum entanglement, as needed to study the relationships between two non-commuting ...Either quantum behavior is capable of ... See full document

... which both outcomes of the measurement actually occur. The trick, then, is to reconcile the actual occurrence of every possible result of a given measurement with our experience of exactly one of the possible results. ... See full document

... Remark 2 Again note that Rule 1 is a statement with- out reality (i.e., a kind of incantation or spell). Thus, it is unnecessary (or precisely speaking, impossible) to an- swer the question: “What is measurement (or, ... See full document

... fluid. They are described by wave solutions given in (5.25) and (5.45), and cor- respond to heat waves propagating along the vortex or magnetic field due to the quantum anomalies. We reproduced a general form of ... See full document

... The process viewpoint leads to the insight that the proper setting for quantum dynamics is not the Hilbert space   ( ) but rather the space Π of generating processes. Dynamical information is lost when consider- ... See full document

... the quantum mechanical operators, in particular an en- ergy operator, are given as selfadjoint operators related to some for- mal differential operators and their proper definition needs a careful determination of ... See full document