Spectral branch points of the Bloch–Torrey operator

DOI10.1088/1751-8121/ac9ff9OpenAlexW4310303760MaRDI QIDQ5878746

Nicolas Moutal, Denis S. Grebenkov

Publication date: 22 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.09721

zbMATH Keywords

convergence radiusexceptional pointperturbative expansionsnon-Hermitian operatorBloch-Torrey operatordiffusion NMR spectral branch point

Mathematics Subject Classification ID

Numerical analysis (65-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Meromorphic functions without real critical values and related braids

Cites Work

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• Analytic perturbation theory for matrices and operators. Licensed ed
• Unfolding the quartic oscillator
• Schrödinger operators with complex potential but real spectrum
• Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume
• On spectral asymptotic of quasi-exactly solvable quartic potential
• Spectral analysis of the complex cubic oscillator
• Geometrical Structure of Laplacian Eigenfunctions
• Level crossing in random matrices: I. Random perturbation of a fixed matrix
• Non-Hermitian Quantum Mechanics
• Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides
• Signatures of three coalescing eigenfunctions
• Diabolical points in the spectra of triangles
• Airy function - exact WKB results for potentials of odd degree
• A family of complex potentials with real spectrum
• Exceptional points of non-Hermitian operators
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant
• On Spectral Properties of the Bloch--Torrey Operator in Two Dimensions
• Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains
• Coupling of eigenvalues of complex matrices at diabolic and exceptional points
• 𝓟𝓣-symmetric quantum mechanics
• Spectral Theory and its Applications
• Quantum Theory for Mathematicians
• Exact resolution method for general 1D polynomial Schrödinger equation
• Level crossing in random matrices. II. Random perturbation of a random matrix
• On a Schrödinger operator with a purely imaginary potential in the semiclassical limit
• Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation
• A Krein space related perturbation theory for MHD α²-dynamos and resonant unfolding of diabolical points
• The Complex Airy Operator on the Line with a Semipermeable Barrier
• Asymptotics and Monodromy of the Algebraic Spectrum of Quasi-Exactly Solvable Sextic Oscillator
• Projective Hilbert space structures at exceptional points
• Diffusion NMR in periodic media: efficient computation and spectral properties

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