Results 11 to 20 of about 3,351,616 (116)

The ZX-calculus is incomplete for quantum mechanics [PDF]

open access: yes, 2014
We prove that the ZX-calculus is incomplete for quantum mechanics. We suggest the addition of a new 'color-swap' rule, of which currently no analytical formulation is known and which we suspect may be necessary, but not sufficient to make the ZX-calculus
de Witt, Christian Schröder   +1 more
core   +2 more sources

From Classical to Quantum Mechanics: "How to translate physical ideas into mathematical language"

open access: yes, 2001
In this paper, we investigate the connection between Classical and Quantum Mechanics by dividing Quantum Theory in two parts: - General Quantum Axiomatics (a system is described by a state in a Hilbert space, observables are self-adjoint operators and so
Bayen F.   +7 more
core   +1 more source

AV-differential geometry and Newtonian mechanics [PDF]

open access: yes, 2006
A frame independent formulation of analytical mechanics in the Newtonian space-time is presented The differential geometry of affine values i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional ...
Grabowska, Katarzyna, Urbanski, Pawel
core   +1 more source

Quantum Mechanics with Random Imaginary Scalar Potential

open access: yes, 1998
We study spectral properties of a non-Hermitian Hamiltonian describing a quantum particle propagating in a random imaginary scalar potential. Cast in the form of an effective field theory, we obtain an analytical expression for the ensemble averaged one ...
  +10 more
core   +1 more source

Some Aspects of Modality in Analytical Mechanics [PDF]

open access: yes, 2002
This paper discusses some of the modal involvements of analytical mechanics. I first review the elementary aspects of the Lagrangian, Hamiltonian and Hamilton-Jacobi approaches. I then discuss two modal involvements; both are related to David Lewis' work
J. Butterfield, Paderborn Mentis
core   +4 more sources

Changes of the topological charge of vortices

open access: yes, 2002
We consider changes of the topological charge of vortices in quantum mechanics by investigating analytical examples where the creation or annihilation of vortices occurs.
Andronikashvili E L   +17 more
core   +1 more source

A Generalized Analytical Mechanics in which Quantum Phenomena Appear [PDF]

open access: yes, 2015
We propose a mechanics of a massive particle in a potential field effective for both classical and quantum system as a modified classical analytical mechanics (modified CM). We transform, under coordinate transformation, the covariant tensor of order two
Yasuda, Masao
core  

Some Open Points in Nonextensive Statistical Mechanics

open access: yes, 2011
We present and discuss a list of some interesting points that are currently open in nonextensive statistical mechanics. Their analytical, numerical, experimental or observational advancement would naturally be very welcome.Comment: 30 pages including 6 ...
Biro T. S.   +17 more
core   +1 more source

Validation of a finite element model for fracture mechanics specimens [PDF]

open access: yes, 2012
Single parameter formulations have shown to be insufficient to describe constraint effects in fracture mechanics specimens. This has lead researchers to a two parameter approach like the J-Q theory. In order to investigate constraint effects, the authors
Cauwelier, Matthias   +5 more
core  

A variational formulation of analytical mechanics in an affine space

open access: yes, 2006
Variational formulations of statics and dynamics of mechanical systems controlled by external forces are presented as examples of variational principles.Comment: 17 pages, corrected typos, accepted for publication in Rep.
Antonio De Nicola   +4 more
core   +1 more source

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