A Possible Experiment to Test the Nature of the Spreading of Matter Wave Packets.

J. R. Croca, Miguel Ferrero, Augusto Garuccio +1 more

Peeter Saari, Ioannis M. Besieris

Hall and Abouraddy [1] have reported first experimental observation of optical de Broglie-Mackinnon wave packets, which is a seminal achievement in the study of so-called non-diffracting optical pulses. These wave packets propagate in free space without spreading with subluminal relativistic velocities, i.e., with speeds slower but close to the velocity of light in vacuum. The experiments in [1] became possible thanks to the application of quite a witty method. Unfortunately, the explanation of the physical nature of the wave packets and their graphical and mathematical descriptions in the theoretical part of [1] suffer from some ambiguities that need to be clarified.

Jieli Qin

Abstract Non-spreading wave packets and matter-wave packets in ring traps have both attracted great research interest for quite a long time due to their remarkable physical properties and intriguing applications. Here, we prove that there is only one set of non-spreading matter-wave packets in a free ring, and this set of wave packets has been found analytically. These non-spreading matter-wave packets can be realized in a toroidal trapped Bose–Einstein condensate system with the help of Feshbach resonance to eliminate contact interaction between atoms. Since experimentally residual interaction noise will always exist, its effect on the stability of these non-spreading wave packets is also examined. Qualitatively, under weak residual interaction noise, these non-spreading wave packets can preserve their shape for quite a long time, while a stronger interaction noise will induce shape breathing of the wave packets. The shape-keeping abilities of these wave packets are further studied quantitatively. We found that this set of wave packets has the same shape-keeping ability against interaction noise, and the shape-keeping ability is linearly related to the strength of the interaction noise.

Augusto Garuccio, Anastasios Kyprianidis, D. Sardelis +1 more

Hasmukh K. Tank

For more than twenty years I have been trying to communicate the true nature of 'matter' through the system of 'peer-reviewed-journals', but the prestigious journals are not courageous-enough to publish. So I am expressing my view here to the open-minded readers. 'Matter' is not a 'substance', 'matter' is a 'process' i.e. 'a phenomenon'. 'Matter' is a process of fluctuations arisen in a 'continuum'. The continuum nature of the fundamental-reality allows formations of spherical 'wave-packets' of micro-microscopic-dimensions*. There are: integer (whole number) of such 'wave-packets'. The waves generated by these packets spread in all the directions. An interesting difference between the interference of conventional electromagnetic waves and the waves of 'matter-particles' is: that in the case of electromagnetic waves generated by radio-stations, the waves add constructively or destructively depending upon their relative phase, and the antennas remain firmly fixed; whereas in the case of 'matter-waves' depending upon the constructive or destructive superimposition of the waves, the antennas change their positions! Because the 'particles of matter' are so light-weight, that they change their positions like 'free-floating-antennas. Interference of 'matter-waves' causes the changes in the positions of the 'spherical wave-packets' called 'particles of matter'. We require not just 'strings' or 'loops' but rather three or four-dimensional-continuum to describe the 'particles of matter'. Thus, the particles of 'matter' are 'particles' as far as their micro-microscopic size, and their whole, integer number is concerned; and they are 'waves' as far as their true nature, of 'fluctuations of the most fundamental continuum’, is concerned.

Joār Andrade e Silva, F. Selleri, Jean Pierre Vigier