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Publications Influence

Uncertainty relations for information entropy in wave mechanics

- I. Białynicki-Birula, J. Mycielski
- Mathematics
- 1 June 1975

New uncertainty relations in quantum mechanics are derived. They express restrictions imposed by quantum theory on probability distributions of canonically conjugate variables in terms of… Expand

688 21

Nonlinear Wave Mechanics

- I. Białynicki-Birula, J. Mycielski
- Physics
- 10 September 1976

Nonlinear wave mechanics is constructed, based on Schrodinger-type equation with nonlinearity −bψ ln | ψ |2. This nonlinearity is selected by assuming the factorization of wavefunctions for composed… Expand

482 20

On the Wave Function of the Photon

- I. Białynicki-Birula
- Physics
- 1 July 1994

It is believed that certain matrix elements of the electromagnetic field operators in quantum electrodynamics, in close analogy with nonrelativistic quantum theory of massive particles, may be… Expand

204 18- PDF

Formulation of the uncertainty relations in terms of the Rényi entropies

- I. Białynicki-Birula
- Physics
- 14 August 2006

Quantum-mechanical uncertainty relations for position and momentum are expressed in the form of inequalities involving the Renyi entropies. The proof of these inequalities requires the use of the… Expand

187 12- PDF

Theory of Quanta

- I. Białynicki-Birula, M. Cieplak, J. Kamiński, Anna M. Furdyna
- Physics
- 5 November 1992

1: The Birth of Quantum Theory. 1.1: The radiation of an ideal black body. 1.2: Line spectra and Bohr's model of the atom. 1.3: The quantum conditions of Bohr-Sommerfield. 1.4: Waves of matters.… Expand

112 12

V Photon Wave Function

- I. Białynicki-Birula
- Physics
- 1996

Publisher Summary This chapter describes the photon wave function, and explains the basic properties of a well-defined mathematical object—a six-component function of space-time variables—that… Expand

120 6

The role of the Riemann–Silberstein vector in classical and quantum theories of electromagnetism

- I. Białynicki-Birula, Z. Białynicka-Birula
- Physics
- 8 November 2012

It is shown that the use of the Riemann–Silberstein (RS) vector greatly simplifies the description of the electromagnetic field both in the classical domain and in the quantum domain. In this review,… Expand

107 5- PDF

Tying knots in light fields.

- Hridesh Kedia, I. Białynicki-Birula, D. Peralta-Salas, W. Irvine
- Physics, Medicine
- Physical review letters
- 2 February 2013

We construct analytically, a new family of null solutions to Maxwell's equations in free space whose field lines encode all torus knots and links. The evolution of these null fields, analogous to a… Expand

116 4- PDF

Relativistic Electron Wave Packets Carrying Angular Momentum.

- I. Białynicki-Birula, Z. Białynicka-Birula
- Physics, Medicine
- Physical review letters
- 14 November 2016

There are important differences between the nonrelativistic and relativistic description of electron beams. In the relativistic case the orbital angular momentum quantum number cannot be used to… Expand

42 4- PDF

Entropic uncertainty relations

- I. Białynicki-Birula
- Physics
- 9 July 1984

Abstract New entropic uncertainty relations for angle-angular momentum and position-momentum, derived recently by Partovi, are related to older relations of a similar type, which were proved by… Expand

94 3- PDF

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