Results 71 to 80 of about 160,056 (177)
, 2003 In this paper we find a simple rule to reproduce the algebra of quantum observables using only the commutators and operators which appear in the Koopman-von Neumann (KvN) formulation of classical mechanics.
Abraham +22 more
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Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials
, 2012 In the framework of differential Galois theory we treat the classical spectral problem $\Psi"-u(x)\Psi=\lambda\Psi$ and its finite-gap potentials as exactly solvable in quadratures by Picard--Vessiot without involving special functions; the ideology goes
Brezhnev, Yurii V.
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About a conjecture on quadratic vector fields
, 2001 The Lotka–Volterra system of autonomous differential equations consists in three homogeneous polynomial equations of degree 2 in three variables.
J. M. Ollagnier
semanticscholar +1 more source
Semiclassical theory for many-body Fermionic systems
, 1996 We present a treatment of many-body Fermionic systems that facilitates an expression of the well-known quantities in a series expansion of the Planck's constant.
A Dellafiore +34 more
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Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields
, 2003 In this paper we analyse the integrability of a dynamical system describing the rotational motion of a rigid satellite under the influence of gravitational and magnetic fields. In our investigations we apply an extension of the Ziglin theory developed by
Maciejewski, Andrzej J. +1 more
core
, 2011 Using a real-time renormalization group method we study the minimal model of a quantum dot dominated by charge fluctuations, the two-lead interacting resonant level model, at finite bias voltage. We develop a set of RG equations to treat the case of weak
A. O. Gogolin +10 more
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Which Algorithm Best Propagates the Meyer-Miller-Stock-Thoss Mapping Hamiltonian for Non-Adiabatic Dynamics? [PDF]
J Chem Theory Comput, 2023 Cook LE +3 more
europepmc +1 more source
On (non)integrability of classical strings in p-brane backgrounds
, 2013 We investigate the question of possible integrability of classical string motion in curved p-brane backgrounds. For example, the D3-brane metric interpolates between the flat and the AdS_5 x S^5 regions in which string propagation is integrable.
Stepanchuk, A., Tseytlin, A. A.
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Improved Calculation of Vibrational Mode Lifetimes in Anharmonic Solids - Part I: Theory
, 2009 We propose here a formal foundation for practical calculations of vibrational mode lifetimes in solids. The approach is based on a recursion method analysis of the Liouvillian. From this we derive the lifetime of a vibrational mode in terms of moments of
Barenblatt +30 more
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, 2015 We obtain thermostatted ring polymer molecular dynamics (TRPMD) from exact quantum dynamics via Matsubara dynamics, a recently-derived form of linearization which conserves the quantum Boltzmann distribution.
Hele, Timothy J. H.
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