Results 51 to 60 of about 160,056 (177)

A simple method for constructing non-liouvillian first integrals of autonomous planar systems [PDF]

Czechoslovak Mathematical Journal, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A new use of nonlocal symmetries for computing Liouvillian first integrals of rational second order ordinary differential equations

, 2023
Here we present an efficient method for finding and using a nonlocal symmetry admitted by a rational second order ordinary differential equation (rational 2ODE) in order to find a Liouvillian first integral (belonging to a vast class of Liouvillian functions).
Deme, I., Duarte, L. G. S., da Mota, L. A. C. P.   +2 more
openaire   +2 more sources

Scale symmetry in classical and quantum mechanics

, 2005
In this paper we address again the issue of the scale anomaly in quantum mechanical models with inverse square potential. In particular we examine the interplay between the classical and quantum aspects of the system using in both cases an operatorial ...
Abrikosov, Basu-Mallick, Cabo, Camblong, Camblong, Case, D. Mauro, de Alfaro, Deotto, E. Gozzi, Esteve, Esteve, Gozzi, Gozzi, Gupta, Holstein, Jackiw, Jackiw, Koopman, Mauro, Mauro, Parisi, Reed, von Neumann, von Neumann   +24 more
core   +2 more sources

Positive Commutators in Non-Equilibrium Statistical Mechanics [PDF]

, 2001
The method of positive commutators, developed for zero temperature problems over the last twenty years, has been an essential tool in the spectral analysis of Hamiltonians in quantum mechanics. We extend this method to positive temperatures, i.e.
Merkli, Marco
core   +3 more sources

Computation of Time‐Resolved Nonlinear Electronic Spectra From Classical Trajectories

WIREs Computational Molecular Science, Volume 15, Issue 3, May/June 2025.
Stimulated emission contribution to the two‐dimensional electronic spectrum of pyrazine at a waiting time of 60 fs as a function of the excitation and emission frequencies. ABSTRACT A variety of time‐resolved spectroscopic techniques employing femtosecond pump and probe pulses are nowadays widely used to unravel the fundamental mechanisms of ...
Maxim F. Gelin, Zhenggang Lan, Nađa Došlić, Wolfgang Domcke   +3 more
wiley   +1 more source

The role of algebraic solutions in planar polynomial differential systems [PDF]

, 2005
We study a planar polynomial differential system, given by \dot{x}=P(x,y), \dot{y}=Q(x,y). We consider a function I(x,y)=\exp \{h_2(x) A_1(x,y) \diagup A_0(x,y) \} h_1(x) \prod_{i=1}^{\ell} (y-g_i(x))^{\alpha_i}, where g_i(x) are algebraic functions, A_1(
Giacomini, Héctor, Giné, Jaume, Grau, Maite   +2 more
core   +5 more sources

Designing Variational Ansatz for Quantum‐Enabled Simulation of Non‐Unitary Dynamical Evolution ‐ An Excursion into Dicke Supperradiance

Advanced Quantum Technologies, Volume 8, Issue 2, February 2025.
The UAVQD vectorization method is demonstrated to effectively address various quantum system challenges. From simple quantum information models to the dynamics of the biological FMO complex, and Dicke superradiance, this method achieves efficient, scalable simulation with promising implications for advanced quantum computing.
Saurabh Shivpuje, Manas Sajjan, Yuchen Wang, Zixuan Hu, Sabre Kais   +4 more
wiley   +1 more source

The quantum Hall plateau transition at order 1/N

, 2001
The localization behavior of noninteracting two-dimensional electrons in a random potential and strong magnetic field is of fundamental interest for the physics of the quantum Hall effect.
A. M. M. Pruisken, A. Zee, B. Huckestein, D. E. Khmelnitskii, D. H. Lee, D. H. Lee, F. Wegner, H. P. Wei, H. P. Wei, J. Sinova, J. T. Chalker, Jairo Sinova, Joel E. Moore, P. A. Lee, R. B. Laughlin, S. Hikami, S. M. Girvin, Y. Huo   +17 more
core   +1 more source

Quantum and thermal noise in coupled non‐Hermitian waveguide systems with different models of gain and loss

Nanophotonics, Volume 14, Issue 1, Page 81-94, January 2025.
Abstract Non‐Hermitian (NH) photonic systems leverage gain and loss to open new directions for nanophotonic technologies. However, the quantum and thermal noise intrinsically associated with gain/loss affects the eigenvalue/eigenvector structure of NH systems, and thus the existence of exceptional points, as well as the practical noise performance of ...
Osmery Hernández, Iñigo Liberal
wiley   +1 more source

Generalized Schrieffer-Wolff Formalism for Dissipative Systems

, 2012
We present a formalized perturbation theory for Markovian open systems in the language of a generalized Schrieffer-Wolff (SW) transformation. A non-unitary rotation decouples the unper- turbed steady states from all fast degrees of freedom, in order to ...
A. C. Hewson, A. Rivas, E. M. Kessler, H. P. Breuer, P. W. Shor, P. Zoller   +5 more
core   +1 more source