Results 1 to 10 of about 104,594 (185)

Fractal Weyl Law for Open Chaotic Maps [PDF]

open access: yes, 2004
This contribution summarizes our work with M.Zworski on open quantum open chaoticmaps (math-ph/0505034). For a simple chaotic scattering system (the open quantum baker's map), we compute the "long-living resonances" in the semiclassical r\'{e}gime, and ...
Asch, Joachim, Joye, Alain
core   +7 more sources

Extracting dynamical equations from experimental data is NP-hard [PDF]

open access: yes, 2012
The behavior of any physical system is governed by its underlying dynamical equations. Much of physics is concerned with discovering these dynamical equations and understanding their consequences.
A. Mukherjea   +9 more
core   +4 more sources

Krein-Space Formulation of PT-Symmetry, CPT-Inner Products, and Pseudo-Hermiticity [PDF]

open access: yes, 2006
Emphasizing the physical constraints on the formulation of a quantum theory based on the standard measurement axiom and the Schroedinger equation, we comment on some conceptual issues arising in the formulation of PT-symmetric quantum mechanics.
A. Gonzalez-Lopez   +40 more
core   +2 more sources

Modular Theory, Non-Commutative Geometry and Quantum Gravity [PDF]

open access: yes, 2010
This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A.
Bertozzini, Paolo   +2 more
core   +4 more sources

Exact Wave Functions for Generalized Harmonic Oscillators [PDF]

open access: yes, 2011
We transform the time-dependent Schroedinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time-evolution of exact wave functions of generalized harmonic oscillators is determined in terms
Lanfear, Nathan   +2 more
core   +1 more source

Three-Hilbert-Space Formulation of Quantum Mechanics [PDF]

open access: yes, 2009
In paper [Znojil M., Phys. Rev. D 78 (2008), 085003, 5 pages, arXiv:0809.2874] the two-Hilbert-space (2HS, a.k.a. cryptohermitian) formulation of Quantum Mechanics has been revisited. In the present continuation of this study (with the spaces in question
Znojil, Miloslav
core   +4 more sources

Quantization of the Riemann Zeta-Function and Cosmology [PDF]

open access: yes, 2007
Quantization of the Riemann zeta-function is proposed. We treat the Riemann zeta-function as a symbol of a pseudodifferential operator and study the corresponding classical and quantum field theories.
Barnaby N.   +18 more
core   +2 more sources

The absolute continuity of the integrated density of states for magnetic Schr\"odinger operators with certain unbounded random potentials

open access: yes, 2001
The object of the present study is the integrated density of states of a quantum particle in multi-dimensional Euclidean space which is characterized by a Schr{\"o}dinger operator with magnetic field and a random potential which may be unbounded from ...
Hupfer, Thomas   +3 more
core   +2 more sources

p-Adic Mathematical Physics

open access: yes, 2009
A brief review of some selected topics in p-adic mathematical physics is presented.Comment: 36 ...
A. Connes   +181 more
core   +1 more source

Developments in Random Matrix Theory

open access: yes, 2003
In this preface to the Journal of Physics A, Special Edition on Random Matrix Theory, we give a review of the main historical developments of random matrix theory.
Forrester, P. J.   +2 more
core   +1 more source

Home - About - Disclaimer - Privacy