99 citations · 454 across the 13 of their papers we have counts for
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Uncertainty Relation of Functions for Kernel-based Transforms Obtained in Quantum Mechanics
Jun-Hua Chen, Hong-Yi Fan
In this paper, the generic uncertainty relation (UR) for kernel-based transformations (KT) of signals is derived. Instead of using the statistics approach as shown in the literatur…
Quantum mechanical perspectives and generalization of the fractional Fourier Transformation
Jun-Hua Chen, Hong-Yi Fan
Fourier and fractional-Fourier transformations are widely used in theoretical physics. In this paper we make quantum perspectives and generalization for the fractional Fourier tran…
Classification of the conditionally observable spectra exhibiting central symmetry
Jun-Hua Chen, Edita Pelantova, Miloslav Znojil
We show how in PT-symmetric 2J-level quantum systems the assumption of an upside-down symmetry (or duality) of their spectra simplifies their classification based on the non-equiva…
PT-Symmetric Extension of the Korteweg-de Vries Equation
Carl M. Bender, Dorje C. Brody, Junhua Chen +1
The Korteweg-de Vries equation u_t+uu_x+u_{xxx}=0 is PT symmetric (invariant under space-time reflection). Therefore, it can be generalized and extended into the complex domain in…
Classical Trajectories for Complex Hamiltonians
Carl M. Bender, Jun-Hua Chen, Daniel W. Darg +1
It has been found that complex non-Hermitian quantum-mechanical Hamiltonians may have entirely real spectra and generate unitary time evolution if they possess an unbroken $\cP\cT$…