DISCOVERING NEW NON-HERMITIAN STATES AND THEIR PHYSICAL REALIZATIONS

Masahito Ueda

Enrique Cantera del Río

A SYMMETRY OF LORENTZ TRANSFORMATION IS PROPOSED FOR THE VISUALIZATION OF THE MOST BASIC PHYSICAL LANDSCAPE DERIVED FROM SPECIAL RELATIVITY. ALTHOUGH BASIC ARGUMENTS ,THE SYMMETRY SHOWS A CLOSE RELATIONSHIP WITH WAVE-PARTICLE DUALITY AND THE EXISTENCE OF TWO POSSIBLE STATES FOR THIS PHYSICAL RELATION. THE SPIN AND THE ABRAHAM-MINKOWSKI CONTROVERSY ARE ANALYZED REGARDING THIS IDEAS AND A NEW HYPOTHESIS ON WAVE-PARTICLE DUALITY IS PRESENTED.

Ali Mostafazadeh

Jules Beckers, N. Debergh, José F. Cariñena +1 more

Previous λ-deformed non-Hermitian Hamiltonians with respect to the usual scalar product of Hilbert spaces dealing with harmonic oscillator-like developments are (re)considered with respect to a new scalar product in order to take into account their property of self-adjointness. The corresponding deformed λ-states lead to new families of coherent states according to the DOCS, AOCS and MUCS points of view.

Jianming Wen, Yanhong Xiao, Peng Peng +4 more