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Development of the Schrödinger Equation for Attosecond Laser Pulse Interaction with Planck Gas
M. Kozlowski and J. Marciak–Kozlowska

With the creation of new particles by the interaction of the ultrarelativistic ions from the Large Hadron Collider (LHC) and the possibility of generating attosecond laser pulses, new possibilities have opened up for physicists in the laser community. In this paper we propose the hyperbolic Schrödinger equation for the gas of particles with a mass equal to the Planck mass, the so called “classical particles”. We also discuss the inclusion of gravity into the hyperbolic Schrödinger equation and the solution of the hyperbolic Schrödinger equation for a particle in a box is obtained. It has been shown that for particles with a mass much larger than the characteristic Planck mass (m >> Mp) the energy spectrum was independent of the mass of the particle.

Keywords: Schrödinger equation, attosecond laser pulses, Planck particles, thermal processes, Large Hadron Collider (LHC)

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