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Proca Thermal Equation for Attosecond Laser Pulse Interaction with Matter
Magdalena Pelc, Janina Marciak-Kozlowska and Miroslwa Kozlowski

In this paper the interaction of attosecond laser pulses with matter is investigated. Scattering and the potential motion of heat carriers in addition to the external force are considered. It is shown that the heat transport is described by the thermal Proca equation. In a thermal Heisenberg type relation, V • ~ (• is the relaxation time and V is the potential), and the solution of the Proca equation (PR) is the distortion less damped wave equation.

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