On the Vibrations of Polyatomic Molecules
From MaRDI portal
Publication:4334382
DOI10.1103/PhysRev.42.210zbMath0005.33001WikidataQ60361152 ScholiaQ60361152MaRDI QIDQ4334382
Publication date: 1932
Published in: Physical Review (Search for Journal in Brave)
Related Items (84)
Dirac particles interacting with the improved Frost-Musulin potential within the effective mass formalism ⋮ Exact path integral treatment of a diatomic molecule potential ⋮ Analytical solution of the Schrödinger equation for the linear combination of the Manning-Rosen and the class of Yukawa potentials ⋮ Confinement in bilayer graphene via intra- and inter-layer interactions ⋮ EFFECTS OF A MIXED VECTOR-SCALAR KINK-LIKE POTENTIAL FOR SPINLESS PARTICLES IN TWO-DIMENSIONAL SPACE–TIME ⋮ Schrödinger potentials solvable in terms of the confluent Heun functions ⋮ Exact solution to the Schrödinger’s equation with pseudo-Gaussian potential ⋮ Approximate solutions of the Dirac equation for the Manning-Rosen potential including the spin-orbit coupling term ⋮ A high-speed method for eigenvalue problems. III: Case of unsymmetrical potentials in Milne's method ⋮ Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians ⋮ Pseudo Hermitian interactions in the Dirac equation ⋮ Thermal properties of Deng-Fan-Eckart potential model using Poisson summation approach ⋮ Exact \(S\)-wave solution of the Schrödinger equation for three new potentials using the transformation method ⋮ A class of solvable potentials ⋮ Application of the Sturm-Liouville theorem and shape invariance formalism to the Dirac equation with hyperbolic like potential ⋮ Algebra representations on eigenfunctions of the Rosen–Morse potential ⋮ General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions ⋮ Pekeris approximation -- another perspective ⋮ Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems ⋮ Calculation of the interaction potential energy curve and vibrational levels for the \(a^3\Sigma_u^+\) state of \({}^7Li_2\) molecule ⋮ Some remarks concerning the centrifugal term approximation ⋮ Kinks and branes in models with hyperbolic interactions ⋮ Geiger–Nuttall law for Schrödinger solitons ⋮ Study of bound states for diatomic molecules by resolution of Schrödinger equation with pseudo-harmonic and Mie potentials via Nikiforov–Uvarov (NU) method ⋮ Quasinormal modes of generalized Pöschl–Teller potentials ⋮ The Duffin-Kemmer-Petiau equation in Friedmann-Robertson-Walker metric in \((1+1)\)-dimensions ⋮ Investigation of the quasinormal modes of a Schwarzschild black hole by a new generalized approach ⋮ Parent potentials for an infinite class of reflectionless kinks ⋮ Schrödinger potentials solvable in terms of the general Heun functions ⋮ GENERALIZED BÄCKLUND–DARBOUX TRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS ⋮ On the normalization constant of \(PT\)-symmetric and real Rosen-Morse I potentials ⋮ Approximate bound states of the Dirac equation with some physical quantum potentials ⋮ Bound states of the D-dimensional Schrödinger equation for the generalized Woods–Saxon potential ⋮ Bound state solutions of the Schrödinger equation for reducible potentials: general Laurent series and four-parameter exponential-type potentials ⋮ Quasi-normal frequencies: key analytic results ⋮ Bound State Solutions of the Klein-Gordon Equation for Rosen-Morse Potential in Spin and Pseudo-Spin Symmetry ⋮ Real spectra for the non-Hermitian Dirac equation in 1+1 dimensions with the most general coupling ⋮ Minimum-uncertainty coherent states of the hyperbolic and trigonometric Rosen-Morse oscillators ⋮ Quantum dynamical algebra \(\mathrm{SU}(1,1)\) in one-dimensional exactly solvable potentials ⋮ Bound states of the Klein-Gordon equation with vector and scalar five-parameter exponential-type potentials ⋮ Bound states of the Klein-Gordon equation with vector and scalar Rosen-Morse-type potentials ⋮ Path integral discussion of the improved Tietz potential ⋮ Deformed Morse-like potential ⋮ Integrable anharmonic potentials for stretching and bending molecular vibrations ⋮ On a solution of the Schrödinger equation with a hyperbolic double-well potential ⋮ String corrections to circular Wilson loop and anomalies ⋮ Solutions to position-dependent mass quantum mechanics for a new class of hyperbolic potentials ⋮ A parametric approach to supersymmetric quantum mechanics in the solution of Schrödinger equation ⋮ Mapping deformed hyperbolic potentials into nondeformed ones ⋮ On the geometry of the phase spaces of some \(\text{SO}(2, 1)\) invariant systems ⋮ Coherent states à la Klauder-Perelomov for the Pöschl-Teller potentials ⋮ Temporally stable coherent states for infinite well and Pöschl–Teller potentials ⋮ Quantum Bocce: magnon-magnon collisions between propagating and bound states in 1D spin chains ⋮ Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl-Teller-Ginocchio potential wave functions ⋮ An extended class of \(L^2\)-series solutions of the wave equation ⋮ A power series potential energy function with adjustable index ⋮ Analytical approximations to the solutions of the Manning-Rosen potential with centrifugal term ⋮ THE QUANTIZATION RULE AND MASLOV INDEX ⋮ Unified path integral treatment for generalized Hulthén and Woods-Saxon potentials ⋮ Analytical solution of the Klein-Fock-Gordon equation for the Rosen-Morse potential ⋮ Heavy quarkonia properties from a hard-wall confinement potential model with conformal symmetry perturbing effects ⋮ Approximate solutions of the Schrödinger equation for the Rosen-Morse potential including centrifugal term ⋮ EXACT SOLUTIONS OF THE KLEIN–GORDON EQUATION FOR THE ROSEN–MORSE TYPE POTENTIALS VIA NIKIFOROV–UVAROV METHOD ⋮ Rectangular well as perturbation ⋮ Diatomic molecules energy spectra for the generalized Mobius square potential model ⋮ A Statistical Mechanical Analysis on the Bound State Solution of an Energy-Dependent Deformed Hulthén Potential Energy* ⋮ Semi-exact Solutions of Konwent Potential ⋮ The Factorization Method ⋮ Group theory approach to scattering. IV: Solvable potentials associated with \(\mathrm{SO}(2,2)\) ⋮ Bessel-type operators and a refinement of Hardy's inequality ⋮ Euclidean wormholes and holography ⋮ Quantum oscillator and Kepler–Coulomb problems in curved spaces: Deformed shape invariance, point canonical transformations, and rational extensions ⋮ APPROXIMATE ANALYTICAL SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE MANNING–ROSEN POTENTIAL MODEL ⋮ Path integral treatment for the one-dimensional Natanzon potentials ⋮ Quasi-exactly solvable hyperbolic potential and its anti-isospectral counterpart ⋮ Approximate solutions of the Dirac equation for the Rosen–Morse potential including the spin-orbit centrifugal term ⋮ Path integral solutions for Klein–Gordon particle in vector plus scalar generalized Hulthén and Woods–Saxon potentials ⋮ On the Theory of the Structure of CH4 and Related Molecules: Part II ⋮ A class of exactly solvable potentials. I: One-dimensional Schrödinger equation ⋮ Zero modes, boundary conditions and anomalies on the lattice and in the continuum ⋮ Relations between 1D shape invariant potentials and the commutation relations of the Lie algebra sl\((2,\mathbb{C})\) ⋮ Potentials that admit solution of the one-dimensional time-independent Schrödinger equation in terms of known functions ⋮ Comment on ‘Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter’ ⋮ Ladder operators and coherent states for the Rosen–Morse system and its rational extensions
Cites Work
This page was built for publication: On the Vibrations of Polyatomic Molecules
