Results 61 to 70 of about 267,596 (283)
Uniqueness and Stability in Inverse Spectral Problems for Collapsing Manifolds [PDF]
, 2012 We consider a geometric inverse problems associated with interior measurements: Assume that on a closed Riemannian manifold $(M, h)$ we can make measurements of the point values of the heat kernel on some open subset $U \subset M$. Can these measurements
Kurylev, Yaroslav +2 more
core
Inverse spectral problems for Sturm--Liouville operators with matrix-valued potentials
, 2009 We give a complete description of the set of spectral data (eigenvalues and specially introduced norming constants) for Sturm--Liouville operators on the interval $[0,1]$ with matrix-valued potentials in the Sobolev space $W_2^{-1}$ and suggest an ...
Adams R A +29 more
core +2 more sources
Diophantine tori and non-selfadjoint inverse spectral problems [PDF]
Mathematical Research Letters, 2013 We study a semiclassical inverse spectral problem based on a spectral asymptotics result of arXiv:math/0502032, which applies to small non-selfadjoint perturbations of selfadjoint $h$-pseudodifferential operators in dimension 2. The eigenvalues in a suitable complex window have an expansion in terms of a quantum Birkhoff normal form for the operator ...
openaire +2 more sources
Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley +1 more source
Heat kernels on metric graphs and a trace formula
, 2007 We study heat semigroups generated by self-adjoint Laplace operators on metric graphs characterized by the property that the local scattering matrices associated with each vertex of the graph are independent from the spectral parameter.
Kostrykin, Vadim +2 more
core +3 more sources
Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges
Advanced Functional Materials, EarlyView.Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley +1 more source
Abstract and Applied Analysis, 2013 The purpose of this paper is to solve the inverse spectral problems for Sturm-Liouville operator with boundary conditions depending on spectral parameter and double discontinuities inside the interval.
A. S. Ozkan, B. Keskin, Y. Cakmak
doaj +1 more source
Spectral Difference Equations Satisfied by KP Soliton Wavefunctions
, 1998 The Baker-Akhiezer (wave) functions corresponding to soliton solutions of the KP hierarchy are shown to satisfy eigenvalue equations for a commutative ring of translational operators in the spectral parameter.
Alex Kasman +16 more
core +3 more sources
Advanced Functional Materials, EarlyView.Cephalopod‐inspired photonic microparticles with dynamic structural coloration are fabricated via confined self‐assembly of linear block copolymers into ellipsoids containing stacked lamellae. Embedded superparamagnetic nanoparticles enable rapid magnetic alignment, restoring vivid, angle‐dependent color.
Gianluca Mazzotta +8 more
wiley +1 more source
A New Inverse Eigenvalue Problem for Jacobi Matrices and Corresponding Mass-Spring System
پژوهشهای ریاضی, 2020 Introduction Many problems in sciences and engineering can be studied by mathematical models. These models are classified as direct problems and inverse problems.
Hanif Mirzaei
doaj