Results 71 to 80 of about 4,250,304 (141)

Analytic integrability for strings on $ \eta $ and $ \lambda $ deformed backgrounds

, 2017
In this paper, based on simple analytic techniques, we explore the integrability conditions for classical stringy configurations defined over $ \eta $ as well as $ \lambda $- deformed backgrounds.
Roychowdhury, Dibakar
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Liouvillian first integrals of homogeneouspolynomial 3-dimensional vector fields [PDF]

Colloquium Mathematicum, 1996
Summary: Given a three-dimensional vector field \(V\) with coordinates \(V_x\), \(V_y\) and \(V_z\) that are homogeneous polynomials in the ring \(k[x, y, z]\), we give a necessary and sufficient condition for the existence of a Liouvillian first integral of \(V\) which is homogeneous of degree 0.
openaire   +2 more sources

Crossover between ballistic and diffusive transport: The Quantum Exclusion Process

, 2011
We study the evolution of a system of free fermions in one dimension under the simultaneous effects of coherent tunneling and stochastic Markovian noise.
Breuer H P, Clark S R, Giamarchi T, Gradshteyn I S, Liggett T, Plenio M, Prosen T, Prosen T, Temme K Wolf M M Verstraete F, Viktor Eisler, Žnidarič M, Žnidarič M   +11 more
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Dissipative quantum chaos unveiled by stochastic quantum trajectories

Physical Review Research
We define quantum chaos and integrability in open quantum many-body systems as a dynamical property of single stochastic realizations, referred to as quantum trajectories.
Filippo Ferrari, Luca Gravina, Debbie Eeltink, Pasquale Scarlino, Vincenzo Savona, Fabrizio Minganti   +5 more
doaj   +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, A L Fetter, A L Fetter, A M Ozorio de Almeida, A Voros, B Eckhardt, D M Brink, D Ruelle, H Nishioka, J A Folk, J Chazarain, M Brack, M Brack, M C Gutzwiller, M L Du, M Pollicott, M V Berry, M V Berry, M V Berry, N L Balasz, P Ede van der Pals van, P Gaspard, P Gaspard, Pierre Gaspard, R Artuso, R Aurich, R Balescu, R Balian, S C Creagh, S R Jain, S R Jain, Sudhir R Jain, V P Maslov, V Strutinsky, Y Colin de Verdière   +34 more
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Differential Algebra and Liouvillian first integrals of foliations

Journal of Pure and Applied Algebra, 2011
Let \((k,\Delta)\) be a differential field, where \(k\) is a field and \(\Delta\) is a set of derivations of \(k\). A Liouvillian extension of \((k,\Delta)\) is a differential extension \((K,\tilde{\Delta})\) of \( (k,\Delta)\) for which there is a chain of differential extensions \(k=k_{0}\subset k_{1}\subset\dots\subset k_{m}=K\) such that \( k_{i+1}/
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The Poisson equations in the nonholonomic Suslov problem: Integrability, meromorphic and hypergeometric solutions

, 2009
We consider the problem of integrability of the Poisson equations describing spatial motion of a rigid body in the classical nonholonomic Suslov problem.
A. J. Maciejewski, Anatol Odzijewicz, M. Przybylska, Martin Schlichenmaier, Piotr Kielanowski, S. Twareque Ali, Theodore Voronov, Y. N. Fedorov   +7 more
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On solvable Dirac equation with polynomial potentials

, 2011
One dimensional Dirac equation is analysed with regard to the existence of exact (or closed-form) solutions for polynomial potentials. The notion of Liouvillian functions is used to define solvability, and it is shown that except for the linear ...
Kaplansky I., Tomasz Stachowiak
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Integrable families of hard-core particles with unequal masses in a one-dimensional harmonic trap

, 2017
We show that the dynamics of particles in a one-dimensional harmonic trap with hard-core interactions can be solvable for certain arrangements of unequal masses.
Dehkharghani, A. S., Harshman, N. L., Jackson, Steven Glenn, Olshanii, Maxim, Volosniev, A. G., Zinner, N. T.   +5 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., Przybylska, Maria   +1 more
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