On two-dimensional Bessel functions
arXiv:quant-ph/0608216 · doi:10.1088/0305-4470/39/48/008
Abstract
The general properties of two-dimensional generalized Bessel functions are discussed. Various asymptotic approximations are derived and applied to analyze the basic structure of the two-dimensional Bessel functions as well as their nodal lines.
25 pages, 17 figures
References in corpus (1)
Cited by in corpus (29)
- Advances in QED with intense background fields
- Electrically driven optical interferometry with spins in silicon carbide
- Nonperturbative treatment of double Compton backscattering in intense laser fields
- Analytical results for non-linear Compton scattering in short intense laser pulses
- Correlated two-photon emission by transitions of Dirac-Volkov states in intense laser fields: QED predictions
- Wide-bandwidth atomic magnetometry via instantaneous-phase retrieval
- Recursive algorithm for arrays of generalized Bessel functions: Numerical access to Dirac-Volkov solutions
- Fully polarized nonlinear Breit-Wheeler pair production in pulsed plane waves
- Non-linear Compton scattering of ultrahigh-intensity laser pulses
- Simulating Anisotropic quantum Rabi model via frequency modulation
- Tunable Chern insulator with shaken optical lattices
- Tides in a body librating about a spin-orbit resonance. Generalisation of the Darwin-Kaula theory
- Engineered Nearest-Neighbour Interactions with Doubly Modulated Optical Lattices
- Asymptotics for the number of spanning trees in circulant graphs and degenerating d-dimensional discrete tori
- Floquet engineering from long-range to short-range interactions
- Locally monochromatic two-step nonlinear trident process in a plane wave
- Quantum transport and localization in biased periodic structures under bi- and polychromatic driving
- Photoelectron spectra in strong-field ionization by a high frequency field
- Discrete time translation symmetry breaking in a Josephson junction laser
- Identities and Properties of Multi-Dimensional Generalized Bessel Functions
- Individually tunable tunnelling coefficients in optical lattices using local periodic driving
- Unified Bessel, Modified Bessel, Spherical Bessel and Bessel-Clifford Functions
- Relativistic elastic scattering of a muon neutrino by an electron in an elliptically polarized laser field
- Hawking-Page transition on a spin chain
- Analytical exploration of the optomechanical attractor diagram and of limit cycles
- On a novel iterative method to compute polynomial approximations to Bessel functions of the first kind and its connection to the solution of fractional diffusion/diffusion-wave problems
- Correlational properties of two-dimensional solvable chaos on the unit circle
- Multipartite entanglement in a Josephson Junction Laser
- Josephson Photonics with Simultaneous Resonances