Search Results - "Jex, Michal"

Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality by Hundertmark, Dirk, Jex, Michal, Lange, Markus

“…One of the crucial properties of a quantum system is the existence of bound states. While the existence of eigenvalues below zero, that is, below the essential…”
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Trace Hardy inequality for the Euclidean space with a cut and its applications by Dauge, Monique, Jex, Michal, Lotoreichik, Vladimir

“…We obtain a trace Hardy inequality for the Euclidean space with a bounded cut Σ⊂Rd, d≥2. In this novel geometric setting, the Hardy-type inequality…”
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On the ground state of quantum graphs with attractive δ-coupling by Exner, Pavel, Jex, Michal

“…We study relations between the ground-state energy of a quantum graph Hamiltonian with attractive δ coupling at the vertices and the graph geometry. We derive…”
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Spectral asymptotics of a strong δ′ interaction supported by a surface by Exner, Pavel, Jex, Michal

“…•Attractive δ′ interactions supported by a smooth surface are considered.•Surfaces can be either infinite and asymptotically planar, or compact and…”
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Spectral asymptotics of a strong delta super(') delta ' interaction supported by a surface by Exner, Pavel, Jex, Michal

“…We derive asymptotic expansion for the spectrum of Hamiltonians with a strong attractive delta super(') delta ' interaction supported by a smooth surface in R…”
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Classical Density Functional Theory: Representability and Universal Bounds by Jex, Michal, Lewin, Mathieu, Madsen, Peter S.

“…We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density ρ ( x ) . We study both the canonical and…”
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The Lieb–Thirring inequality revisited by Frank, Rupert L., Hundertmark, Dirk, Jex, Michal, Nam, Phan Thành

“…We provide new estimates on the best constant of the Lieb–Thirring inequality for the sum of the negative eigenvalues of Schrödinger operators, which…”
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On the ground state of lattice Schr\"{o}dinger operators by Jex, Michal, Štampach, František

“…We prove necessary and sufficient conditions for lattice Schr\"{o}dinger operators to have a zero energy bound state in arbitrary dimension. The two criteria…”
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Discrete dissociation model of photogenerated inter-chain charge transfer states in external electric field by Jex, Michal, Menšík, Miroslav, Toman, Petr, Pfleger, Jiří

“…A new theoretical model of photogeneration yield of free charge carriers on the electric field in π-conjugated polymers was introduced. It generalizes the…”
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Classical Density Functional Theory: The Local Density Approximation by Jex, Michal, Lewin, Mathieu, Madsen, Peter

“…We prove that the lowest free energy of a classical interacting system at temperature $T$ with a prescribed density profile $\rho(x)$ can be approximated by…”
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Classical Density Functional Theory: Representability and Universal Bounds by Jex, Michal, Lewin, Mathieu, Madsen, Peter S

“…We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density $\rho(x)$. We study both the canonical and…”
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Quantum Systems at The Brink by Hundertmark, Dirk, Jex, Michal, Lange, Markus

“…INdAM Meeting: Quantum Mathematics Workshop (2023) We present a method to calculate the asymptotic behavior of eigenfunctions of Schr\"odinger operators that…”
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Quantum Systems at the Brink: Existence of Bound States, Critical Potentials and Dimensionality by Hundertmark, Dirk, Jex, Michal, Lange, Markus

“…One of the crucial properties of a quantum system is the existence of bound states. While the existence of eigenvalues below zero, i.e., below the essential…”
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Quantum Systems at The Brink: Properties of Atomic Bound States at The Ionization Threshold by Hundertmark, Dirk, Jex, Michal, Lange, Markus

“…We give a rigorous argument that long--range repulsion stabilizes quantum systems; ground states of such quantum systems exist even when the ground state…”
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Trace Hardy inequality for the Euclidean space with a cut and its applications by Dauge, Monique, Jex, Michal, Lotoreichik, Vladimir

“…J. Math. Anal. Appl. 500 (2021), no. 2, Paper No. 125124, 13 pp We obtain a trace Hardy inequality for the Euclidean space with a bounded cut…”
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Spectral asymptotics for $\delta'$ interaction supported by a infinite curve by Jex, Michal

“…We consider a generalized Schr\"odinger operator in $L^2(\mathbb R^2)$ describing an attractive $\delta'$ interaction in a strong coupling limit. $\delta'$…”
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Quantum Systems at The Brink. Existence and Decay Rates of Bound States at Thresholds; Atoms by Hundertmark, Dirk, Jex, Michal, Lange, Markus

“…It is well known that $N$-electron atoms undergoes unbinding for a critical charge of the nucleus $Z_c$, i.e. the atom has eigenstates for the case $Z> Z_c$…”
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Quantum Systems at The Brink: Helium-type systems by Hundertmark, Dirk, Jex, Michal, Lange, Markus

“…In the present paper we study two challenging problems for helium-type systems. Existence of eigenvalues at thresholds and the asymptotic behavior of the…”
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On absence of bound states for weakly attractive $\delta^\prime$-interactions supported on non-closed curves in $\mathbb{R}^2 by Jex, Michal, Lotoreichik, Vladimir

“…J. Math. Phys. 57 (2016), 022101 Let $\Lambda\subset\mathbb{R}^2$ be a non-closed piecewise-$C^1$ curve, which is either bounded with two free endpoints or…”
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Spectral asymptotics of a strong $\delta'$ interaction supported by a surface by Exner, Pavel, jex, Michal

“…Phys. Lett. A378 (2014), 2091-2095 We derive asymptotic expansion for the spectrum of Hamiltonians with a strong attractive $\delta'$ interaction supported by…”
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