Results 41 to 50 of about 160,056 (177)

Lehmann-Suwa residues of codimension one holomorphic foliations and applications

, 2019
Let $\mathcal{F}$ be a singular codimension one holomorphic foliation on a compact complex manifold $X$ of dimension at least three such that its singular set has codimension at least two. In this paper, we determine Lehmann-Suwa residues of $\mathcal{F}$
Fernández-Pérez, Arturo, Támara, Jimmy   +1 more
core   +1 more source

Symbolic Integration of Hyperexponential 1-Forms [PDF]

International Symposium on Symbolic and Algebraic Computation, 2019
Let H be a hyperexponential function in n variables x=(x1,…,xn) with coefficients in a field ℚ , [ℚ :ℚ ] < ∞, and ω a rational differential 1-form. Assume that Hømega is closed and H transcendental.
Thierry Combot
semanticscholar   +1 more source

Weierstrass integrability of differential equations [PDF]

, 2007
The integrability problem consists in finding the class of functions a first integral of a given system must belong to. We recall the characterization to admit an elementary or Liouvillian first integral.
Giné Mesa, Jaume, Grau Montaña, Maite
core  

Solutions for the General, Confluent and Biconfluent Heun equations and their connection with Abel equations

, 2004
In a recent paper, the canonical forms of a new multi-parameter class of Abel differential equations, so-called AIR, all of whose members can be mapped into Riccati equations, were shown to be related to the differential equations for the hypergeometric ...
Abramowitz M, Anguelova L, Chan L Cheb-Terrab E S, Cheb-Terrab E S, Decarreau A, E S Cheb-Terrab, Erdélyi A, Exton H, Finkel F, Gagnon L, Ishkhanyan1 A, Ishkhanyan1 A, Kamke E, Kovacic J, Maier R S, Polyanin A D, Ronveaux A, Ronveaux A, Sachdev P L, Slavyanov S Y, Smirnov A O, Stephani H, Whittaker E T   +22 more
core   +4 more sources

Geometric Dequantization [PDF]

, 2004
Dequantization is a set of rules which turn quantum mechanics (QM) into classical mechanics (CM). It is not the WKB limit of QM. In this paper we show that, by extending time to a 3-dimensional "supertime", we can dequantize the system in the sense of ...
A.A. Abrikosov, Abraham, Abrikosov, Abrikosov, Batalin, D. Mauro, Das, De Witt, Deotto, Deotto, Deotto, Deotto, Dolan, E. Gozzi, Elitzur, Feynman, Fujikawa, Fujikawa, Gozzi, Gozzi, Gozzi, Gozzi, Gozzi, Gozzi, Gozzi, Gozzi, Klauder, Kleinert, Koopman, Mauro, Sakita, Schulman, Tugai, von Neumann, West, Woodhouse, Zinn-Justin   +36 more
core   +1 more source

Charging a quantum battery from the Bloch Sphere

Annalen der Physik, Volume 538, Issue 1, January 2026.
This study uncovers the origin of the ergotropy stockpiled during the charging of a quantum battery, as well as the genesis of the battery capacity. It is found that both coherences and population inversion can meaningfully contribute, and the balance between these two mechanisms is intimately related to the initial state of the charger as well as the ...
Charles Andrew Downing, Muhammad Shoufie Ukhtary   +1 more
wiley   +1 more source

Time-dependent quantum transport: causal superfermions, exact fermion-parity protected decay mode, and Pauli exclusion principle for mixed quantum states [PDF]

, 2014
We extend the recently developed causal superfermion approach to the real-time transport theory to time-dependent decay problems.Its usefulness is illustrated for the Anderson model of a quantum dot with tunneling rates depending on spin due to the ...
Saptsov, R. B., Wegewijs, M. R.
core   +2 more sources

Coexistence of weak and strong coupling in a photonic molecule through dissipative coupling to a quantum dot

Nanophotonics, Volume 14, Issue 27, Page 5163-5175, December 2025.
Abstract We study the emission from a molecular photonic cavity formed by two proximal photonic crystal defect cavities containing a small number (<3) of In(Ga)As quantum dots. Under strong excitation, we observe photoluminescence from the bonding and antibonding modes in agreement with ab initio numerical simulations.
Stefan Lichtmannecker, Santiago Echeverri‐Arteaga, Michael Kaniber, Isabel C. Andrade Martelo, Joaquín Ruiz‐Rivas, Thorsten Reichert, Günther Reithmaier, Per‐Lennart Ardelt, Max Bichler, Eduardo Zubizarreta Casalengua, Edgar A. Gómez, Herbert Vinck‐Posada, Elena del Valle, Kai Müller, Fabrice P. Laussy, Jonathan J. Finley   +15 more
wiley   +1 more source

Qubit quantum-dot sensors: noise cancellation by coherent backaction, initial slips, and elliptical precession

, 2016
We theoretically investigate the backaction of a sensor quantum dot with strong local Coulomb repulsion on the transient dynamics of a qubit that is probed capacitively. We show that the measurement backaction induced by the noise of electron cotunneling
DiVincenzo, D. P., Hell, M., Wegewijs, M. R.   +2 more
core   +1 more source

Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations

Annalen der Physik, Volume 537, Issue 6, June 2025.
A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona, Davide Cocco, Giuseppe Procopio   +2 more
wiley   +1 more source