Spectral properties of the Bloch-Torrey operator in three dimensions

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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A finite elements method to solve the Bloch-Torrey equation applied to diffusion magnetic resonance imaging
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume
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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
Pseudospectra of Linear Operators
Exceptional points of non-Hermitian operators
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
Spectral Theory and its Applications
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
The Complex Airy Operator on the Line with a Semipermeable Barrier
Diffusion NMR in periodic media: efficient computation and spectral properties
Spectral branch points of the Bloch–Torrey operator

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