Asymptotic solutions of nonrelativistic equations of quantum mechanics in curved nanotubes. I: Reduction to spatially one-dimensional equations

Related Items (16)

Energy levels of a quantum particle on a cylindrical surface with non-circular cross-section in electric and magnetic fields ⋮ The emergence of eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin strip ⋮ Quantum graphs as holonomic constraints ⋮ Semiclassical asymptotic approximations and the density of states for the two-dimensional radially symmetric Schrödinger and Dirac equations in tunnel microscopy problems ⋮ Quantum scattering by a Viviani's curve ⋮ Asymptotic behavior of the eigenvalues of the Schrödinger operator with transversal potential in a weakly curved infinite cylinder ⋮ Operator separation of variables for adiabatic problems in quantum and wave mechanics ⋮ Semiclassical asymptotics of the vector Sturm-Liouville problem ⋮ Generalized Foldy-Wouthuysen transformation and pseudodifferential operators ⋮ Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity ⋮ Asymptotic behavior of eigenvalues of the Laplace operator in infinite cylinders perturbed by transverse extensions ⋮ Dynamics on quantum graphs as constrained systems ⋮ Asymptotic behavior of the eigenvalues of the Schrödinger operator in thin closed tubes ⋮ Asymptotic behavior of eigenvalues of the Laplace operator in thin infinite tubes ⋮ Asymptotic solution of the Helmholtz equation in a three-dimensional layer of variable thickness with a localized right-hand side ⋮ Planar waveguide with “twisted” boundary conditions: Small width

This page was built for publication: Asymptotic solutions of nonrelativistic equations of quantum mechanics in curved nanotubes. I: Reduction to spatially one-dimensional equations