Black holes, bandwidths and Beethoven

DOI10.1063/1.533244zbMath0971.94004arXivgr-qc/9907084OpenAlexW3102195576MaRDI QIDQ2737936

Achim Kempf

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9907084

zbMATH Keywords

ultraviolet cutofffrequency limitationsfixed bandwidthfunctions with a bounded Fourier spectrumgeneric superoscillations

Mathematics Subject Classification ID

Black holes (83C57) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items

Transmission through a regular vs. a superoscillating barrier, Four aspects of superoscillations, An approach to constructing super oscillatory functions, Deformed special relativity as an effective flat limit of quantum gravity, Yield statistics of interpolated superoscillations, Driving quantum systems with superoscillations, Beyond superoscillation: general theory of approximation with bandlimited functions, Photon trajectories, anomalous velocities and weak measurements: a classical interpretation, Quantum gravity, information theory and the CMB, Analysis of superoscillatory wave functions, Superoscillations

Cites Work

• The wavelet transform, time-frequency localization and signal analysis
• Uncertainty relation in quantum mechanics with quantum group symmetry
• On quantum field theory with nonzero minimal uncertainties in positions and momenta
• A simple model of Aharonov - Berry's superoscillations
• Evanescent and real waves in quantum billiards and Gaussian beams