Quantum Physics, Relativity, and Complex Spacetime: Towards a New Synthesis

zbMath0709.53061arXiv0910.0352MaRDI QIDQ3997573

Gerald Kaiser

Publication date: 17 September 1992

Full work available at URL: https://arxiv.org/abs/0910.0352

zbMATH Keywords

waveletshomogeneous spacesLie groupsphase spacecomplex structurecoherent statesquantized fieldstime-frequency localizationcomplex spacetimeholomorphic gauge theory

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Applications of global differential geometry to the sciences (53C80) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Applications of holomorphic fiber spaces to the sciences (32L81)

Related Items (17)

SYMMETRIZATION AND ENHANCEMENT OF THE CONTINUOUS MORLET TRANSFORM FOR SPECTRAL DENSITY ESTIMATION ⋮ Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups ⋮ Inversions of the windowed ray transform ⋮ Complex boosts: a Hermitian Clifford algebra approach ⋮ Classical charged particle models derived from complex shift methods ⋮ Seeing the Möbius disc-transformation group like never before. ⋮ Generalized frames and their redundancy ⋮ Generalized Fourier frames in terms of balayage ⋮ Complex geometry, unification, and quantum gravity. I: The geometry of elementary particles ⋮ Two-spinors, oscillator algebras, and qubits: aspects of manifestly covariant approach to relativistic quantum information ⋮ The mystery of the Kerr-Newman metric ⋮ On some identities and inequalities for frames in Hilbert spaces ⋮ \(CPT\) groups of higher spin fields ⋮ Wavelet electrodynamics ⋮ CONFORMAL SPINNING QUANTUM PARTICLES IN COMPLEX MINKOWSKI SPACE AS CONSTRAINED NONLINEAR SIGMA MODELS IN U(2, 2) AND BORN'S RECIPROCITY ⋮ Particle geodesics and spectra in the spacetime tangent bundle ⋮ Finslerian fields in the spacetime tangent bundle

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