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19992023
most citedPhysical wavelets and their sources: Real physics in complex spacetime

43 citations · 256 across the 27 of their papers we have counts for

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21 papers · 1 filter

math-ph2023

Thermal Spacetime, Part I: Relativistic Bohmian Mechanics

Gerald Kaiser

Positive-energy solutions of the Klein-Gordon equation form a Hilbert space of holomorphic functions on the future tube. This domain is interpreted as an extended phase space for t…

math-ph2014★ 3 cited

Completing the complex Poynting theorem: Conservation of reactive energy in reactive time

Gerald Kaiser

The complex Poynting theorem is extended canonically to a time-scale domain by replacing the phasors of time-harmonic fields by the analytic signals of fields…

math-ph2012★ 9 cited

The Reactive Energy of Transient EM Fields

Gerald Kaiser

We give a physically compelling definition of the instantaneous reactive energy density associated with an arbitrary transient electromagnetic field in vacuum.

math-ph2011★ 5 cited

Coherent electromagnetic wavelets and their twisting null congruences

Gerald Kaiser

We construct an electromagnetic field whose scalar potential is a pulsed-beam wavelet Psi (an analytic continuation of a classical Huygens wavelet). The vector potential A is deter…

math-ph2009★ 7 cited

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

Gerald Kaiser

The positivity of the energy in relativistic quantum mechanics implies that wave functions can be continued analytically to the forward tube T in complex spacetime. For Klein-Gordo…

math-ph2009★ 1 cited

Huygens' principle in classical electrodynamics: a distributional approach

Gerald Kaiser

We derive Huygens' principle for electrodynamics in terms of 4-vector potentials defined as distributions supported on a surface surrounding the charge-current density. By combinin…