Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions.
Quantification et analyse pseudo-différentielle
Quantization effects for a variant of the Ginzburg-Landau type system.
Quantizations and symbolic calculus over the -adic numbers
We develop the basic theory of the Weyl symbolic calculus of pseudodifferential operators over the -adic numbers. We apply this theory to the study of elliptic operators over the -adic numbers and determine their asymptotic spectral behavior.
Quantum detailed balance
Quantum diffusion and generalized Rényi dimensions of spectral measures
We estimate the spreading of the solution of the Schrödinger equation asymptotically in time, in term of the fractal properties of the associated spectral measures. For this, we exhibit a lower bound for the moments of order at time for the state defined by . We show that this lower bound can be expressed in term of the generalized Rényi dimension of the spectral measure associated to the hamiltonian and the state . We especially concentrate on continuous models.
Quantum dynamical entropy and an algorithm by Gene Golub.
Quantum energy expectation in periodic time-dependent Hamiltonians via Green functions.
Quantum fluctuations of elementary excitations in discrete media.
Quantum graph spectra of a graphyne structure
We study the dispersion relations and spectra of invariant Schrödinger operators on a graphyne structure (lithographite). In particular, description of different parts of the spectrum, band-gap structure, and Dirac points are provided.
Quantum mechanics in strong time dependent external fields
Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field
For fixed magnetic quantum number m results on spectral properties and scattering theory are given for the three-dimensional Schrödinger operator with a constant magnetic field and an axisymmetrical electric potential V. In various, mostly singular settings, asymptotic expansions for the resolvent of the Hamiltonian H m+Hom+V are deduced as the spectral parameter tends to the lowest Landau threshold. Furthermore, scattering theory for the pair (H m, H om) is established and asymptotic expansions...
Quantum-dot-based photon emission and media conversion for quantum information applications.
Quantum-graph vertex couplings: some old and new approximations
In 1986 P. Šeba in the classic paper considered one-dimensional pseudo-Hamiltonians containing the first derivative of the Dirac delta function. Although the paper contained some inaccuracy, it was one of the starting points in approximating one-dimension self-adjoint couplings. In the present paper we develop the above results to the case of quantum systems with complex geometry.
Quasi-covariant repesentations of nuclear ...-algebras
Quasi-exactly solvable -body spin Hamiltonians with short-range interaction potentials.
Quasi-exactly solvable Schrödinger operators in three dimensions.