Can one bind three electrons with a single proton? (2009)
Bressanini, Dario, Brummelhuis, Raymond, Duclos, Pierre, Ruamps, Renaud
Of course not for an ideal $\mathrm{H}^{--}$ atom. But with the help of an intense homogeneous magnetic field $B$, the question deserves to be reconsidered. It is known (see e.g. \cite{BSY,BD}) that...
Can one bind three electrons with a single proton? (2009)
Bressanini, Dario, Brummelhuis, Raymond, Duclos, Pierre, Ruamps, Renaud
Of course not for an ideal $\mathrm{H}^{--}$ atom. But with the help of an intense homogeneous magnetic field $B$, the question deserves to be reconsidered. It is known (see e.g. \cite{BSY,BD}) that...
Adiabatic spectrum for relativistic hydrogen in a strong homogeneous magnetic field (2009)
Duclos, Pierre, Briet, Philippe, Brummelhuis, Raymond
We study the bound states of relativistic hydrogen-like atoms coupled to strong homogeneous magnetic fields, assuming a fixed, infinitely heavy nucleus. Working in the adiabatic approximation in...
Adiabatic spectrum for relativistic hydrogen in a strong homogeneous magnetic field (2009)
Duclos, Pierre, Briet, Philippe, Brummelhuis, Raymond
We study the bound states of relativistic hydrogen-like atoms coupled to strong homogeneous magnetic fields, assuming a fixed, infinitely heavy nucleus. Working in the adiabatic approximation in...
On the spectrum of a bent chain graph (2008)
Duclos, Pierre, Exner, Pavel, Turek, Ondrej
We study Schr\"odinger operators on an infinite quantum graph of a chain form which consists of identical rings connected at the touching points by $\delta$-couplings with a parameter $\alpha\in\R$....
On the skeleton method and an application to a quantum scissor (2008)
Cornean, Horia D., Duclos, Pierre, Ricaud, Benjamin
In the spectral analysis of few one dimensional quantum particles interacting through delta potentials it is well known that one can recast the problem into the spectral analysis of an integral...
On the skeleton method and an application to a quantum scissor (2008)
Cornean, Horia, Duclos, Pierre, Ricaud, Benjamin
In the spectral analysis of few one dimensional quantum particles interacting through delta potentials it is well known that one can recast the problem into the spectral analysis of an integral...
On the skeleton method and an application to a quantum scissor (2008)
Cornean, Horia, Duclos, Pierre, Ricaud, Benjamin
In the spectral analysis of few one dimensional quantum particles interacting through delta potentials it is well known that one can recast the problem into the spectral analysis of an integral...
Duclos, Pierre, Lev, Ondra, Stovicek, Pavel
We consider quantum Hamiltonians of the form H(t)=H+V(t) where the spectrum of H is semibounded and discrete, and the eigenvalues behave as E_n~n^\alpha, with 0
On the stability of periodically time-dependent quantum systems (2007)
Duclos, Pierre, Soccorsi, Eric, Stovicek, Pavel, Vittot, Michel
The main motivation of this article is to derive sufficient conditions for dynamical stability of periodically driven quantum systems described by a Hamiltonian H(t), i.e., conditions under which it...
Cornean, Horia D., Duclos, Pierre, Nenciu, Gheorghe, Purice, Radu
Consider a three dimensional system which looks like a cross-connected pipe system, i.e. a small sample coupled to a finite number of leads. We investigate the current running through this system, in...
Effective Hamiltonians for atoms in very strong magnetic fields (2007)
Brummelhuis, Raymond, Duclos, Pierre
We propose three effective Hamiltonians which approximate atoms in very strong homogeneous magnetic fields $B$ modelled by the Pauli Hamiltonian, with fixed total angular momentum with respect to...
On critical stability of three quantum charges interacting through delta potentials (2006)
Cornean, Horia, Duclos, Pierre, Ricaud, Benjamin
We consider three one dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at least one bound...
On critical stability of three quantum charges interacting through delta potentials (2006)
Cornean, Horia, Duclos, Pierre, Ricaud, Benjamin
We consider three one dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at least one bound...
On critical stability of three quantum charges interacting through delta potentials (2006)
Cornean, Horia Decebal, Duclos, Pierre, Ricaud, Benjamin
We consider three one dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at least one bound...
Effective models for excitons in carbon nanotubes (2006)
Cornean, Horia D., Duclos, Pierre, Ricaud, Benjamin
We analyse the low lying spectrum of a model of excitons in carbon nanotubes. Consider two particles with an attractive Coulomb self-interaction, placed on an infinitely long cylinder. If the...
On critical stability of three quantum charges interacting through delta potentials (2006)
Cornean, Horia, Duclos, Pierre, Ricaud, Benjamin
We consider three one dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at least one bound...
On critical stability of three quantum charges interacting through delta potentials (2006)
Cornean, Horia, Duclos, Pierre, Ricaud, Benjamin
We consider three one dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at least one bound...
Effective Hamiltonians for atoms in very strong magnetic fields (2005)
Brummelhuis, Raymond, Duclos, Pierre
We propose three effective Hamiltonians which approximate atoms in very strong homogeneous magnetic fields $B$ modelled by the Pauli Hamiltonian, with fixed total angular momentum with respect to...
Absolute continuity in periodic thin tubes and strongly coupled leaky wires (2003)
Bentosela, Francois, Duclos, Pierre, Exner, Pavel
Using a perturbative argument, we show that in any finite region containing the lowest transverse eigenmode, the spectrum of a periodically curved smooth Dirichlet tube in two or three dimensions is...
Bound States in Curved Quantum Layers (2001)
Duclos, Pierre, Exner, Pavel, Krejcirik, David
We consider a nonrelativistic quantum particle constrained to a curved layer of constant width built over a non-compact surface embedded in $R^3$. We suppose that the latter is endowed with the...
Duclos, Pierre, Exner, Pavel, Meller, Bernhard
We discuss the Noeckel model of an open quantum dot, i.e., a straight hard-wall channel with a potential well. If this potential depends on the longitudinal variable only, there are embedded...
Stability of driven systems with growing gaps, Quantum rings and Wannier ladders (1998)
Asch, Joachim, Duclos, Pierre, Exner, Pavel
We consider a quantum particle in a periodic structure submitted to a constant external electromotive force. The periodic background is given by a smooth potential plus singular point interactions...
Curvature-Induced Bound States In Quantum Waveguides In Two And Three Dimensions (1995)
Dirichlet Laplacian on curved tubes of a constant cross section in two and three dimensions is investigated. It is shown that if the tube is non--straight and its curvature vanishes asymptotically,...
Pierre Duclos, Pavel Exner, Bernhard Meller
from perturbed symmetry in open quantum dots
Contribution à l'étude de la radiocinématographie de l'articulation temporo-maxillaire / (1965)
Thesis (doctoral)--Faculté de médecine et de pharmacie de Lyon, 1965.