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[كتاب][B] Spectral theory of block operator matrices and applications
C Tretter - 2008 - books.google.com
This book presents a wide panorama of methods to investigate the spectral properties of
block operator matrices. Particular emphasis is placed on classes of block operator matrices …
block operator matrices. Particular emphasis is placed on classes of block operator matrices …
[كتاب][B] Mathematical concepts of quantum mechanics
SJ Gustafson, IM Sigal, IM Sigal, I Physicien, IM Sigal… - 2003 - Springer
Stephen J. Gustafson Israel Michael Sigal Third Edition Page 1 Universitext Stephen J.
Gustafson Israel Michael Sigal Mathematical Concepts of Quantum Mechanics Third Edition …
Gustafson Israel Michael Sigal Mathematical Concepts of Quantum Mechanics Third Edition …
Counterexample to the Laptev–Safronov conjecture
Abstract Laptev and Safronov (Commun Math Phys 292 (1): 29–54, 2009) conjectured an
inequality between the magnitude of eigenvalues of a non-self-adjoint Schrödinger operator …
inequality between the magnitude of eigenvalues of a non-self-adjoint Schrödinger operator …
Ground states in the spin boson model
We prove that the Hamiltonian of the model describing a spin which is linearly coupled to a
field of relativistic and massless bosons, also known as the spin-boson model, admits a …
field of relativistic and massless bosons, also known as the spin-boson model, admits a …
Bose particles in a box II. A convergent expansion of the ground state of the Bogoliubov Hamiltonian in the mean field limiting regime
A Pizzo - arxiv preprint arxiv:1511.07025, 2015 - arxiv.org
In this paper we consider an interacting Bose gas at zero temperature, in a finite box and in
the mean field limiting regime. The N gas particles interact through a pair potential of …
the mean field limiting regime. The N gas particles interact through a pair potential of …
On spectral renormalization group
The operator-theoretic renormalization group (RG) methods are powerful analytic tools to
explore spectral properties of field-theoretical models such as quantum electrodynamics …
explore spectral properties of field-theoretical models such as quantum electrodynamics …
Analytic perturbation theory and renormalization analysis of matter coupled to quantized radiation
For a large class of quantum mechanical models of matter and radiation we develop an
analytic perturbation theory for non-degenerate ground states. This theory is applicable, for …
analytic perturbation theory for non-degenerate ground states. This theory is applicable, for …
Spectral analysis of a model for quantum friction
An otherwise free classical particle moving through an extended spatially homogeneous
medium with which it may exchange energy and momentum will undergo a frictional drag …
medium with which it may exchange energy and momentum will undergo a frictional drag …
Ground state and resonances in the standard model of the non-relativistic QED
We prove existence of a ground state and resonances in the standard model of the non-
relativistic quantum electro-dynamics (QED). To this end we introduce a new canonical …
relativistic quantum electro-dynamics (QED). To this end we introduce a new canonical …
Bose particles in a box I. A convergent expansion of the ground state of a three-modes Bogoliubov Hamiltonian
A Pizzo - arxiv preprint arxiv:1511.07022, 2015 - arxiv.org
In this paper we introduce a novel multi-scale technique to study many-body quantum
systems where the total number of particles is kept fixed. The method is based on Feshbach …
systems where the total number of particles is kept fixed. The method is based on Feshbach …