56 citations · 520 across the 52 of their papers we have counts for
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Bohm's Quantum Potential as an Internal Energy
Glen Dennis, Maurice de Gosson, Basil Hiley
We pursue our discussion of Fermi's surface initiated in Dennis, de Gosson and Hiley and show that Bohm's quantum potential can be viewed as an internal energy of a quantum system.…
Paths of Canonical Transformations and their Quantization
Maurice A. de Gosson
In their simplest formulations, classical dynamics is the study of Hamiltonian flows and quantum mechanics that of propagators. Both are linked, and emerge from the datum of a sing…
On the prolate spheroidal wave functions and Hardy's uncertainty principle
Elmar Pauwels, Maurice de Gosson
We prove a weak version of Hardy's uncertainty principle using properties of the prolate spheroidal wave functions (PSWFs). We describe the eigenvalues of the sum of a time limitin…
Born--Jordan Quantization and the Equivalence of Matrix and Wave Mechanics
Maurice A. de Gosson
The aim of the famous Born and Jordan 1925 paper was to put Heisenberg's matrix mechanics on a firm mathematical basis. Born and Jordan showed that if one wants to ensure energy co…
On the (Non)Equivalence of the Schrödinger and Heisenberg Pictures of Quantum Mechanics
Maurice A. de Gosson
The aim of this short Note is to show that the Schrödinger and Heisenberg pictures of quantum mechanics are not equivalent unless one uses a quantization rule clearly stated by Bor…
Metaplectic formulation of the Wigner transform and applications
Nuno Costa Dias, Maurice A. de Gosson, João Nuno Prata
We show that the cross Wigner function can be written in the form where is the Fourier transform of and is a me…