Differential operator related to the generalized superradiance integral equation

DOI10.1016/j.jmaa.2010.02.034zbMath1190.47091OpenAlexW2081475273WikidataQ115346192 ScholiaQ115346192MaRDI QIDQ982571

Indranil SenGupta

Publication date: 7 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.034

zbMATH Keywords

eigenvaluespherical harmonicsGegenbauer polynomialsquantum mechanicsBessel functionseigenfunctionhyperspherical harmonics

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) General theory of ordinary differential operators (47E05) Quantum optics (81V80) Applications of operator theory to differential and integral equations (47N20) Fredholm integral equations (45B05)

Related Items (10)

Spherical harmonics approach to parabolic partial differential equations ⋮ Spectral analysis for a three-dimensional superradiance problem ⋮ Numerical solutions for option pricing models including transaction costs and stochastic volatility ⋮ Solutions to integro-differential problems arising on pricing options in a Lévy market ⋮ Concentration problems for bandpass filters in communication theory over disjoint frequency intervals and numerical solutions ⋮ Solutions to a gradient-dependent integro-differential parabolic problem arising in the pricing of financial options in a Lévy market ⋮ Solutions to an integro-differential parabolic problem arising in the pricing of financial options in a Lévy market ⋮ Spherical harmonics applied to differential and integro-differential equations arising in mathematical finance ⋮ Second-order integro-differential parabolic variational inequalities arising from the valuation of American option ⋮ Nonlinear problems modeling stochastic volatility and transaction costs

Cites Work

• The effects of the \(N\) atom collective Lamb shift on single photon superradiance
• Differential Operators Commuting with Finite Convolution Integral Operators: Some Nonabelian Examples
• Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions
• Coherence in Spontaneous Radiation Processes
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Differential operator related to the generalized superradiance integral equation