61 citations · 360 across the 42 of their papers we have counts for
42 papers
The explicit form of the unitary representation of the Poincaré group for vector-valued wave functions (massive and massless), with applications to photon's localization and position operators
Arkadiusz Jadczyk
We geometrically derive the explicit form of the Unitary representation of the Poincare group and use it to apply speed-of-light boosts to simple polarization basis to end up with…
A Comment on the "Photon position operator with commuting components" by Margaret Hawton
A. Jadczyk, A. M. Schlichtinger
We show that the position operator with commuting components proposed by M. Hawton [M. Hawton, Phys. Rev. A {\bf 59}, 954 (1999)] and developed in subsequent papers, including the…
Time of arrival operator in the momentum space
A. M. Schlichtinger, A. Jadczyk
It is shown that in presence of certain external fields a well defined self-adjoint time operator exists, satisfying the standard canonical commutation relations with the Hamiltoni…
On the bundle of Clifford algebras over the space of quadratic forms
Arkadiusz Jadczyk
For each quadratic form Q in Quad(V) over a given vector space over a field R we have the Clifford algebra Cl(V,Q) defined as the quotient T(V)/I(Q) of the tensor algebra T(V) over…
Lorentz transformation from an elementary point of view
Arkadiusz Jadczyk, Jerzy Szulga
Elementary methods are used to examine some nontrivial mathematical issues underpinning the Lorentz transformation. Its eigen-system is characterized through the exponential of a $…
Random walk on quantum blobs
Arkadiusz Jadczyk
We describe the action of the symplectic group on the homogeneous space of squeezed states (quantum blobs) and extend this action to the semigroup. We then extend the metaplectic r…