Tootfinder

TIL: Erwin Schrödinger was a pedophile, sexual abuser, predator and male supremacist.
To me the cat is definitively dead now.
https://web.archive.org/web/20221030233603/ht…

How Erwin Schrödinger indulged his ‘Lolita complex’ in Ireland
Nobel Prize-winning physicist, who spent 17 years in Ireland, was a serial groomer of girls

Self-concordant Schr\"odinger operators: spectral gaps and optimization without condition numbers
Sander Gribling, Simon Apers, Harold Nieuwboer, Michael Walter
https://arxiv.org/abs/2510.06115

Self-concordant Schrödinger operators: spectral gaps and optimization without condition numbers
Spectral gaps play a fundamental role in many areas of mathematics, computer science, and physics. In quantum mechanics, the spectral gap of Schrödinger operators has a long history of study due to its physical relevance, while in quantum computing spectral gaps are an important proxy for efficiency, such as in the quantum adiabatic algorithm. Motivated by convex optimization, we study Schrödinger operators associated with self-concordant barriers over convex domains and prove non-asymptotic …

Rubio on Ukraine:
“It’s not our war. It’s a war on another continent,”
Meanwhile USA bombs Syria.
Schrödinger's foreign policy.
Five key takeaways from US State Secretary Rubio’s year-end briefing | Politics News | Al Jazeera
https://www.

Five key takeaways from US State Secretary Rubio’s year-end briefing
Top US diplomat Marco Rubio reiterates hard line against Venezuela’s Maduro, says Ukraine conflict is ‘not our war’.

Unique continuation and Hardy's uncertainty principle for hyperbolic Schr\"odinger equations
Torunn Jensen
https://arxiv.org/abs/2510.09202 https://

Unique continuation and Hardy's uncertainty principle for hyperbolic Schrödinger equations
We prove unique continuation properties related to the Hardy uncertainty principle for solutions of the hyperbolic nonlinear Schrödinger equation and the hyperbolic Schrödinger equation with potential. Under suitable conditions on the nonlinearity, or the potential, we show that if $u$ is a solution with Gaussian decay at two different times, then $u\equiv 0$. These results extend to the hyperbolic setting the work of Escauriaza, Kenig, Ponce, and Vega (JEMS, 10, 2008) for the classical Schr�…

Ballistic electron transport described by a generalized Schr\"{o}dinger equation
Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano
https://arxiv.org/abs/2510.03765 htt…

Ballistic electron transport described by a generalized Schrödinger equation
We propose a Schrödinger equation of arbitrary order for modeling charge transport in semiconductors operating in the ballistic regime. This formulation incorporates non-parabolic effects through the Kane dispersion relation, thereby extending beyond the conventional effective mass approximation. Building upon the framework introduced in G. E. Aliffi, G. Nastasi, V. Romano, {ZAMP} {76}, 155 (2025), we derive a hierarchy of models, each governed by a Schrödinger equation of increasing order. A…

Martingale Optimal Transport and Martingale Schr\"odinger Bridges for Calibration of Stochastic Volatility Models
Antonios Zitridis
https://arxiv.org/abs/2510.10860 https:/…

Martingale Optimal Transport and Martingale Schrödinger Bridges for Calibration of Stochastic Volatility Models
Motivated by recent developments in the calibration of stochastic volatility models (SVMs for short), we study continuous-time formulations of martingale optimal transport and martingale Schrödinger bridge problems. We establish duality formulas and also provide alternative proofs, via different techniques, of duality results previously established in the mathematical finance literature. Applications include calibration of SVMs to SPX options, as well as joint calibration to both SPX and VIX o…

Polizeiruf 110: Frau Schrödingers Katze - #ARD #BR
#crimi #krimi #Schrödinger

The foundational value of quantum computing for classical fluids
Sauro Succi, Claudio Sanavio, Peter Love
https://arxiv.org/abs/2510.09178 https://arxiv.or…

The foundational value of quantum computing for classical fluids
Quantum algorithms for classical physics problems expose new patterns of quantum information flow as compared to the many-body Schrödinger equation. As a result, besides their potential practical applications, they also offer a valuable theoretical and computational framework to elucidate the foundations of quantum mechanics, particularly the validity of the many-body Schrödinger equation in the limit of large number of particles, on the order of the Avogadro number. This idea is illustrated …

Integrability in Three-Dimensional Gravity: Eigenfunction-Forced KdV Flows
Hamed Adami, Anousheh Latifi
https://arxiv.org/abs/2510.10519 https://arxiv.org/…

Integrability in Three-Dimensional Gravity: Eigenfunction-Forced KdV Flows
We uncover a direct connection between three-dimensional gravity with chiral boundary conditions and a class of forced integrable systems. Starting from the Chern-Simons formulation, we derive consistent boundary conditions on a non-compact spatial slice, leading to boundary dynamics described by the potential modified KdV hierarchy. The dynamics reduce to a forced KdV equation, where the forcing term is determined self-consistently by the eigenfunctions of the associated Schrödinger operator.…

Semiclassical tunneling for some 1D Schr\"odinger operators with complex-valued potentials
Martin Averseng, Nicolas Frantz, Fr\'ed\'eric H\'erau, Nicolas Raymond
https://arxiv.org/abs/2510.04296

Semiclassical tunneling for some 1D Schrödinger operators with complex-valued potentials
We consider the non-selfadjoint, semiclassical Schrödinger operator $\mathscr{L}(h) := -h^2\partial_x^2+e^{iα}V$, where $α\in (-π,π)$ and $V: \mathbb{R}\to \mathbb{R}_+$ is even and vanishes at exactly two (symmetric) non-degenerate minima. We establish a semiclassical tunneling result: the spectrum of $\mathscr{L}(h)$ near the origin is given by a sequence of algebraically simple eigenvalues which come in exponentially close pairs (within a $\mathscr{O}(e^{-S/h})$ distance where $S > 0$ i…

Determining a magnetic Schr\"odinger equation by a single far-field measurement
Chaohua Duan, Zhen Xue
https://arxiv.org/abs/2510.08198 https://arxiv.…

Determining a magnetic Schrödinger equation by a single far-field measurement
This paper investigates the inverse scattering problem for the magnetic Schrödinger equation. We first establish the well-posedness of the direct problem through a variational approach under physically meaningful assumptions on the magnetic and electric potentials. Our main results demonstrate that a single far-field measurement uniquely determines the support of the potential functions when the scatterer has polyhedral structures. A significant theoretical byproduct of our analysis reveals …

Engineering Rogue Waves via Multimode Interactions in Integrated Waveguides
G\"uls\"um Yaren Durdu, Azka Maula Iskandar Muda, U\u{g}ur Te\u{g}in
https://arxiv.org/abs/2510.07082

Engineering Rogue Waves via Multimode Interactions in Integrated Waveguides
We explore rogue wave formation in multimode silicon nitride (Si$_3$N$_4$) waveguides with multimode nonlinear Schrödinger equation-based simulations. Pure fundamental-mode excitation produces smooth propagation without extreme events, whereas higher-order modes or multimode superpositions yield heavy-tailed statistics with bursts exceeding the $8σ$ threshold. These results reveal that rogue wave generation in integrated waveguides is controlled not only by material properties such as nonline…

Three-Dimensional Electrostatic and Quantum-Confinement Modeling of Silicon Nanowire Double Quantum Dots
Nilesh Pandey, Dipanjan Basu, Leonard F Register, Sanjay K Banerjee
https://arxiv.org/abs/2510.07831

Three-Dimensional Electrostatic and Quantum-Confinement Modeling of Silicon Nanowire Double Quantum Dots
We present a three-dimensional simulation study of silicon nanowire double quantum dots with leads, which extends beyond traditional effective-mass or quasi-1D and quasi-2D approaches typically applied to bulk or planar geometries. Using the Sentaurus QTX, we self-consistently couple a 3-D Poisson solver with two-dimensional Schrödinger solutions along the strongly confined width * thickness cross-sections normal to the transport direction, yielding bound-state energies and wavefunctions acros…

Solutions of abstract wave equations, eigenvalues and resonances
Yuri Latushkin, Alin Pogan
https://arxiv.org/abs/2510.03637 https://arxiv.org/pdf/2510.036…

Solutions of abstract wave equations, eigenvalues and resonances
We prove general representation formulas for strongly continuous cosine and sine operator families in terms of scattering resonances of their generators. This generalizes known results related to decay, growth and oscillatory behavior of solutions of abstract wave equations to a wide class of non-self-adjoint operators in Banach spaces. Inspired by the classical results on scattering resonances for Schrödinger operators with compactly supported potentials, we develop quite general abstract sch…

Hubbard-like Interactions and Emergent Dynamical Regimes Between Modulational Instability and Self-Trapping
L. J. R. Bezerra Jr., W. S. Dias
https://arxiv.org/abs/2510.08781 htt…

Hubbard-like Interactions and Emergent Dynamical Regimes Between Modulational Instability and Self-Trapping
We investigate the modulational instability of uniform wave packets governed by a discrete third-order nonlinear Schrödinger equation in finite square lattices, modeling light propagation in two-dimensional nonlinear waveguide arrays. We analyze how initially stable uniform distributions evolve into self-trapped (localized) regimes and the influence of a refractive index detuning selectively applied along the diagonal waveguides on this transition. This detuning effectively emulates the effect…

Nonlinear stability of vector multi-solitons in coupled NLS and modified KdV equations
Liming Ling, Huajie Su
https://arxiv.org/abs/2510.12129 https://arxi…

Nonlinear stability of vector multi-solitons in coupled NLS and modified KdV equations
We prove that the $N$-solitons, including breathers and multi-hump solitons, of the coupled nonlinear Schrödinger (CNLS) equations are nonlinearly stable in the Sobolev space $H^{N}$. Moreover, $(N_{1},N_{2})$-solitons of the coupled modified Korteweg--de Vries (CmKdV) equations are shown to be nonlinearly stable in the Sobolev space $H^{2N_{1}+N_{2}}$. The number of negative eigenvalues of the second variation of the Lyapunov functional is $N$ for $N$-solitons of the CNLS equations, and $N_{1…

A Flux-Tunable Discrete Angular Filter
Tristan M. Lawrie, Oliver M. Brown
https://arxiv.org/abs/2510.06395 https://arxiv.org/pdf/2510.06395

A Flux-Tunable Discrete Angular Filter
Recent work by Lawrie et al. [PRR 7, 023209 (2025)] introduced a non-diffracting resonant angular filter on a network of thin channels (modelled via quantum graph theory) that exhibits unit transmission of acoustic waves at a discrete, symmetry-paired set of incidence angles determined solely by the graph topology, while transmission at all other angles is strictly forbidden. In the present work, we study the same filtering geometry for waves governed by the magnetic Schrödinger equation rathe…

Forward and backward problems for abstract time-fractional Schr\"odinger equations
S. E. Chorfi, F. Et-tahri, L. Maniar, M. Yamamoto
https://arxiv.org/abs/2510.03600 https:…

Forward and backward problems for abstract time-fractional Schrödinger equations
We investigate forward and backward problems associated with abstract time-fractional Schrödinger equations $\mathrm{i}^ν\partial_t^αu(t) + A u(t)=0$, $α\in (0,1)\cup (1,2)$ and $ν\in\{1,α\}$, where $A$ is a self-adjoint operator with compact resolvent on a Hilbert space $H$. This kind of equation, which incorporates the Caputo time-fractional derivative of order $α$, models quantum systems with memory effects and anomalous wave propagation. We first establish the well-posedness of the f…

I wonder if the Schrödinger's cat knows what actually goes on. 🐈🤔
#quantum #cats #technology #physics #question #joke

Wavefunction Flows: Efficient Quantum Simulation of Continuous Flow Models
David Layden, Ryan Sweke, Vojt\v{e}ch Havl\'i\v{c}ek, Anirban Chowdhury, Kirill Neklyudov
https://arxiv.org/abs/2510.08462

Wavefunction Flows: Efficient Quantum Simulation of Continuous Flow Models
Flow models are a cornerstone of modern machine learning. They are generative models that progressively transform probability distributions according to learned dynamics. Specifically, they learn a continuous-time Markov process that efficiently maps samples from a simple source distribution into samples from a complex target distribution. We show that these models are naturally related to the Schrödinger equation, for an unusual Hamiltonian on continuous variables. Moreover, we prove that the…

Negative Order Bochner-Riesz Operators for the Critical Magnetic Schr\"odinger Operator in $\mathbb{R}^2$
Huanqing Guo, Junyong Zhang, Jiqiang Zheng
https://arxiv.org/abs/2510.04082

Negative Order Bochner-Riesz Operators for the Critical Magnetic Schrödinger Operator in $\mathbb{R}^2$
This paper studies the sharp $L^p$-$L^q$ boundedness of the Bochner-Riesz operator $S^δ_λ(\mathcal{L}_{\mathbf{A}})$ associated with a scaling-critical magnetic Schrödinger operator $\mathcal{L}_{\mathbf{A}}$ on $\mathbb{R}^2$, where $δ\in (-3/2, 0)$. We determine the conditions on the exponents $p$ and $q$ under which the operator is bounded from $L^p(\mathbb{R}^2)$ to $L^q(\mathbb{R}^2)$. Our main result characterizes the boundedness region as a pentagonal subset $Δ(δ)$ of the $(1/p, 1/…

Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schr\"{o}dinger equations
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Masataka Shibata, Juncheng Wei
https://arxiv.org/abs/2510.12484

Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schrödinger equations
In this paper, we investigate positive radial solutions to double-power nonlinear stationary Schrodinger equations in three space dimensions. It is now known that the non-uniqueness of H^{1}-positive solutions can occur in three dimensions when the frequency is sufficiently small. Under suitable conditions, in addition to the ground state solution (whose L^{\infty} norm vanishes as the frequency tends to zero), there exists another positive solution that minimizes a different constrained variat…

Scattering Theory and dispersive estimates for general $1$d Charge Transfer Models
Gong Chen, Abdon Moutinho
https://arxiv.org/abs/2510.11807 https://arxiv…

Scattering Theory and dispersive estimates for general $1$d Charge Transfer Models
We continue our study of scattering theory and dispersive properties for one-dimensional charge transfer models, namely linear Schrödinger equations with multiple moving potentials. By the discovery of a refined structure of the construction of distorted Fourier transforms adapted to the multi-potential framework, we remove the large-velocity separation assumption imposed in [8]. This work thus completes the full scattering theory and dispersive analysis for general one-dimensional charge tran…

Complex Gaussianity and spatio-frequential memory effect of random wave processes
Guillaume Bal, Anjali Nair
https://arxiv.org/abs/2510.09402 https://arxiv…

Complex Gaussianity and spatio-frequential memory effect of random wave processes
Wavefield speckle patterns are generated by interference of randomly scattered coherent light. In the weak-coupling regime of the Itô-Schrödinger paraxial model for long-distance wave propagation, we show the following multiscale character: a macroscopic envelope solves a deterministic diffusion equation while the local wavefield (the speckle) is described by a complex Gaussian process both in terms of spatial axial and lateral displacements as well as frequency and angular variations of the …