Wave Equations in Higher Dimensions
From MaRDI portal
Publication:3012900
DOI10.1007/978-94-007-1917-0zbMath1248.81003OpenAlexW425208196MaRDI QIDQ3012900
Publication date: 7 July 2011
Full work available at URL: https://doi.org/10.1007/978-94-007-1917-0
Kaluza-Klein theoryCoulomb potentialLevinson theoremexactly solvable modelsSchrödinger equation with position-dependent masshypervirial theorem
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Methods of quantum field theory in general relativity and gravitational theory (83C47) Kaluza-Klein and other higher-dimensional theories (83E15) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Special quantum systems, such as solvable systems (81Q80)
Related Items (50)
Entropic properties of \(D\)-dimensional Rydberg systems ⋮ Lie symmetry and the Bethe ansatz solution of a new quasi-exactly solvable double-well potential ⋮ Semi-exact solutions of sextic potential plus a centrifugal term ⋮ Exact solutions of the Razavy cosine type potential ⋮ Cornell potential in generalized uncertainty principle formalism: the case of Schrödinger equation ⋮ Semiexact solutions of the Razavy potential ⋮ Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials ⋮ Does Dirac equation for a generalized Coulomb-like potential in \(\mathrm D+1\) dimensional flat space-time admit any solution for \(D\geq 4\)? ⋮ Exact solutions of an asymmetric double well potential ⋮ Exact solution to the Schrödinger’s equation with pseudo-Gaussian potential ⋮ Spectra generated by a confined softcore Coulomb potential ⋮ On the non-canonical noncommutative Wheeler-DeWitt equation for Schwarzschild and Kantowski-Sachs black holes ⋮ Unified treatment of a class of spherically symmetric potentials: quasi-exact solution ⋮ Schrödinger equation with singular position dependent mass ⋮ Splitting the source term for the Einstein equation to classical and quantum parts ⋮ Exact solutions of the Schrödinger equation with a complex periodic potential ⋮ Spin interaction and magnetic field strength effects on the system of two interacting electrons in a 2D quartic confinement potential ⋮ Investigation of the nuclear system using the D-dimensional wave equation ⋮ Spin and pseudo-spin symmetries of fermionic particles with an energy-dependent potential in non-commutative phase space ⋮ Analytical solutions of the Klein-Gordon equation with a combined potential ⋮ Analytical approximate bound state solution of Schrödinger equation in \(D\)-dimensions with a new mixed class of potential for arbitrary \(\ell\)-state via asymptotic iteration method ⋮ Generalized uncertainty principle in astrophysics from Fermi statistical physics arguments ⋮ Biparametric complexities and generalized Planck radiation law ⋮ Time independent fractional Schrödinger equation for generalized Mie-type potential in higher dimension framed with Jumarie type fractional derivative ⋮ Exact solutions of the 1D Schrödinger equation with the Mathieu potential ⋮ The search for fractional order in heavy quarkonia spectra ⋮ Bound state solution and thermodynamic properties of the screened cosine Kratzer potential under influence of the magnetic field and aharanov-Bohm flux field ⋮ The biparametric Fisher–Rényi complexity measure and its application to the multidimensional blackbody radiation ⋮ Complexity measures and uncertainty relations of the high-dimensional harmonic and hydrogenic systems ⋮ Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces ⋮ D-dimensional energies for scandium monoiodide ⋮ Comparing exact energy solutions of quartic eigenvalue polynomials in commutative, non-commutative and non-commutative phase frameworks for boson π− ⋮ On some polynomial potentials in d-dimensions ⋮ On the gamma matrix representations of \(\mathrm{SO}(8)\) and Clifford algebras ⋮ Analytical traveling-wave solutions to a generalized Gross-Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields ⋮ New solutions of the \(D\)-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential ⋮ Breaking of continuous scale invariance to discrete scale invariance: a universal quantum phase transition ⋮ A high-order integrator for the Schrödinger equation with time-dependent, homogeneous magnetic field ⋮ How the spin-orbit interaction appears with the same order of a non-commutative change of framework for relativistic fermions ⋮ The hydrogen atom in \(D = 3 - 2\epsilon\) dimensions ⋮ New findings for two new type sine hyperbolic potentials ⋮ Semi-exact Solutions of Konwent Potential ⋮ Heisenberg-like uncertainty measures for D-dimensional hydrogenic systems at large D ⋮ A new approach to solve the Schrodinger equation with an anharmonic sextic potential ⋮ Exact solutions of a quartic potential ⋮ Exact solutions of the sine hyperbolic type potential ⋮ SOLUTION OF THE DIRAC EQUATION WITH POSITION-DEPENDENT MASS IN A COULOMB AND SCALAR FIELDS IN A CONICAL SPACETIME ⋮ Exact solutions of deformed Schrödinger equation with a class of non-central physical potentials ⋮ Rydberg multidimensional states: Rényi and Shannon entropies in momentum space ⋮ Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters
This page was built for publication: Wave Equations in Higher Dimensions
