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Asymptotic completeness in quantum in field theory: massive Pauli–Fierz hamiltonians
Spectral and scattering theory of massive Pauli–Fierz Hamiltonians is studied. Asymptotic
completeness of these Hamiltonians is shown. The proof consists of three parts. The first is a …
completeness of these Hamiltonians is shown. The proof consists of three parts. The first is a …
[كتاب][B] Schrödinger operators: With application to quantum mechanics and global geometry
A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling
the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it …
the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it …
Commutator methods and spectral theory of N-body hamiltonian
The relevance of commutator methods in spectral and scattering theory has been known for
a long time, and numerous interesting results have been obtained by such methods. The …
a long time, and numerous interesting results have been obtained by such methods. The …
[كتاب][B] Scattering theory of classical and quantum N-particle systems
J Derezinski, C Gérard - 2013 - books.google.com
This monograph addresses researchers and students. It is a modern presentation of time-
dependent methods for studying problems of scattering theory in the classical and quantum …
dependent methods for studying problems of scattering theory in the classical and quantum …
Quantum electrodynamics of confined nonrelativistic particles
We consider a system of finitely many nonrelativistic, quantum mechanical electrons bound
to static nuclei. The electrons are minimally coupled to the quantized electromagnetic field; …
to static nuclei. The electrons are minimally coupled to the quantized electromagnetic field; …
Exponential bounds and absence of positive eigenvalues forN-body Schrödinger operators
For a large class of N-body potentials V we prove that if ϕ is an eigenfunction of− δ+ V with
eigenvalue E then sup {α 2+ E: α≧ 0, exp (α| x|) ϕ∈ L 2} is either a threshold or+∞ …
eigenvalue E then sup {α 2+ E: α≧ 0, exp (α| x|) ϕ∈ L 2} is either a threshold or+∞ …
Asymptotic completeness forN-body short-range quantum systems: A new proof
GM Graf - Communications in mathematical physics, 1990 - Springer
Asymptotic completeness for <Emphasis Type="Italic">N </Emphasis>-body short-range quantum
systems: A new Page 1 Commun. Math. Phys. 132, 73-101 (1990) Communications in …
systems: A new Page 1 Commun. Math. Phys. 132, 73-101 (1990) Communications in …
[كتاب][B] Scattering theory: some old and new problems
DR Yafaev - 2007 - books.google.com
Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the
(absolutely) continuous spectrum. It has its origin in mathematical problems of quantum …
(absolutely) continuous spectrum. It has its origin in mathematical problems of quantum …
Schrödinger operators in the twentieth century
S. Agmon,“On positive solutions of elliptic equations with periodic coefficients in RN, spectral
results and extensions to elliptic operators on Riemannian manifolds,” in Differential …
results and extensions to elliptic operators on Riemannian manifolds,” in Differential …
Bounds on exponential decay of eigenfunctions of Schrödinger operators
S Agmon - Schrödinger Operators: Lectures given at the 2nd 1984 …, 2006 - Springer
Introduction consider a Schrodinger differential operator P=-6.+ V on Rn where V is a real
function in L1l(Rn). Under general cond itions oc on V the operator P admits a unique self …
function in L1l(Rn). Under general cond itions oc on V the operator P admits a unique self …