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Wednesday, August 12, 2020 | History

4 edition of Quantum Classical Correspondence found in the catalog.

Quantum Classical Correspondence

B. L. Hu

Quantum Classical Correspondence

Proceedings of the 4th Drexel Symposium on Quantum Nonintegrability, Drexel University, Philadelphia, USA, September

by B. L. Hu

  • 160 Want to read
  • 29 Currently reading

Published by International Press of Boston .
Written in English

    Subjects:
  • Quantum physics (quantum mechanics),
  • Quantum Theory,
  • Science

  • The Physical Object
    FormatPaperback
    Number of Pages583
    ID Numbers
    Open LibraryOL8731453M
    ISBN 101571460993
    ISBN 109781571460998

    We use the Schack and Caves symbolic description of the quantum baker`s map. We find an exact expression for the expectation value of the time dependent position operator. A relation between quantum and classical trajectories is investigated. Breakdown of the quantum-classical correspondence at the logarithmic timescale is rigorously established. How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. Quantum-Classical Correspondence elucidates the problem by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations.

    The correspondence principle states that the quantum system will approach to the classical system in high quantum numbers. Indeed, the average of the probability density distribution reflects a. This chapter sets the basis of quantum information theory (QIT).The central purpose of QIT is to qualify the transmission of either classical or quantum information over quantum starting point of the QIT description is von Neumann entropy, S (ρ), which represents the quantum counterpart of Shannon's classical entropy, H (X).Such a definition rests on that of the density operator.

    to arrive at the same quantum-classical correspondence and generalized the correspondence principle to nonlinear response functions [3,24]. Surprisingly, the semiclassical expression (10) or equivalently Eq. (14) still leads to exact quantum results for several exactly solvable systems in-cluding the harmonic oscillator and Morse oscillator dis-. An illustration of an open book. Books. An illustration of two cells of a film strip. Video. An illustration of an audio speaker. Audio. An illustration of a " floppy disk. Quantum-Classical Correspondence in Energy Space: Two Interacting Spin-Particles Item Preview remove-circle.


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Quantum Classical Correspondence by B. L. Hu Download PDF EPUB FB2

This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. Quantum-Classical Correspondence elucidates the problem by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations.

The logical consistency of the scheme is then. This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics.

Quantum-Classical Correspondence elucidates the problem by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by. At what level of physical existence does "quantum behavior" begin. How does it develop from classical mechanics. This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics.

It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by. In physics, the correspondence principle states that the behavior of systems described by the theory of quantum mechanics (or by the old quantum theory) reproduces classical physics in the limit of large quantum other words, it says that for large orbits and for Quantum Classical Correspondence book energies, quantum calculations must agree with classical calculations.

The principle was formulated by Niels Bohr. Classical Quantum Correspondence For Ionization In Fast Ion Quantum Classical Correspondence Quantumclassical Correspondence For The Harmonic Oscillator Quantum Classical Correspondence And Entanglement In Pdf Spectral Approach To Chaos And Quantum Classical Quantum Classical Correspondence Free Epub.

The conditions of quantum-classical correspondence for a system of two interacting spins are investigated.

Differences between quantum expectation values and classical Liouville averages are examined for both regular and chaotic dynamics well beyond the short-time regime of narrow states.

Focusing on the exciting field of 'quantum chaos', this book reveals that there is a subtle and complex relation between classical and quantum mechanics. It challenges the received view that classical and quantum mechanics are incommensurable, and revives another, largely forgotten tradition due to Niels Bohr and Paul Dirac.

The long term goal of his group is to establish the unreasonable effectiveness of classical dynamics in molecular systems using a classical-quantum correspondence based approach. Srihari received the Gopal Das Bhandari memorial outstanding teacher award at IITK in A.

Loss of the quantum-classical correspondence 11 B. Moyal bracket and Liouville flow 12 C. Symptoms of correspondence loss 13 1. Expectation values 13 2. Structure saturation 13 IV. ENVIRONMENT – INDUCED SUPERSELECTION14 A.

Models of einselection 14 1. Decoherence of a single qubit 15 2. The classical domain and a quantum halo 16 3. QUANTUM-CLASSICAL CORRESPONDENCE Classical limit of quantum mechanics The limit h -> 0 Ehrenfest theorem.

Role of decoherence WKB approximation Classical Hamilton-Jacobi theory WKB equations & interpretation Quasiclassical approximation Feynman integral Formulation of quantum mechanics in terms of trajectories. The Boltzmann distribution and the quantum-classical correspondence To cite this article: Sam Alterman et al J.

Phys. A: Math. Theor. 51 View the article online for updates and enhancements. Related content Classical transition states in quantum theory Stephen C Creagh-Shannon and Fisher entropy measures for.

this article, a theory which we have recently developed is reviewed. This theory addresses the long standing problem of quantum-classical correspondence. It begins with the axiomatic structure of quantum mechanics, from which the basic concept of dynamical degrees of freedom emerges and the associated physical geometry of an arbitrary quantum system is constructed.

Quantum-classical correspondence The classical calculation of Section and the quantum LRT calculation of Section gave the same answers for heating rate. This is remarkable because the energy evolution (spreading profile) was different: the classical spreading is gradual (for), whereas the quantum spreading involves jumps in units of.

This chapter investigates the quantum versus classical dynamics of a microwave cavity-coupled-Cooper-pair transistor (CPT) system, where a variable applied dc bias causes the system to tunably self-oscillate via the ac Josephson effect.

An essential feature of the system is that the dc bias does not significantly affect the high quality factor of the cavity mode to which the CPT predominantly. This is the first book on the subject of quantum-classical analogies.

Although quantum and classical physics are founded on very different principles, similarities between quantum and classical phenomena are not uncommon.

This fact was considered by physicists as a mere curiosity until, quite recently, it became clear that such analogies.

Classical Region of Harmonic Oscillations Find the amplitude A of oscillations for a classical oscillator with energy equal to the energy of a quantum oscillator in the quantum state n. Strategy To determine the amplitude A, we set the classical energy E = k x 2 / 2 = m ω 2 A 2 / 2 E = k x 2 / 2 = m ω 2 A 2 / 2 equal to E n E n given by.

Quantum-Classical Correspondence: Classical Limit and the Classical Limit. likes. In this book we address the problem of the relationship between classical and quantum physics in the. Decoherence, chaos, quantum-classical correspondence, and the algorithmic arrow of time To cite this article: Wojciech H Zurek Phys.

Scr. View the article online for updates and enhancements. Related content Generation and preservation of coherence in dissipative quantum optical environments B M Garraway, P L Knight and M B Plenio. Finally, we explore the quantum-to-classical correspondence by first defining a classical Gaussian ensemble in the four dimensional phase space with a mean value μ = (q 1, p 1, q 2, p 2) which corresponds to the initial quantum coherent state.

Quantum/Classical Correspondence in the Light of Bell’s Inequalities Leonid A. Khalfin1 and Boris S. Tsirelson2 Received Novem ; revised Octo Instead of the usual asymptotic passage from quantum mechanics to classical mechanics when a parameter tended to infinity, a sharp boundary is obtained for.

Quantum Classical Correspondence: Proceedings of the 4th Drexel Symposium on Quantum Nonintegrability, Drexel University, Philadelphia, USA, September Paperback – January 1, by B. L. Hu (Author) See all formats and editions Hide other formats and editions.

Price New from Used from Paperback "Please retry" Author: B. L. Hu.We find that the quantum-classical correspondence in integrable systems is characterized bytwo time scales. One is the Ehrenfest time below which the system is classical; the other is the quantum revival time beyondwhich the system is fully quantum.

In between, the quantum system can be well approximated by classicalensemble distribution in phase space.T= Edt H ± /-At µ Transfer matrix of the classical model # Quantum Ising in d space dimensions to classical Ising in D= dtl.

We can now easily generalize this to any dimension. Let's start with a transverse field Quantum Ising model in d space dimensions H=-J.E. × (oangpadjdeinegsim). Partition portion: 2-= to e-PH= Ts (e- DTH)N Dt→o N → a DTN =P fixed As before: e- At.