Hyperspherical harmonics for polyatomic systems: basis set for collective motions (original) (raw)

Hyperspherical harmonics for polyatomic systems: Basis set for kinematic rotations

Vincenzo Aquilanti

International Journal of Quantum Chemistry, 2002

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Quantum dynamics of kinematic invariants in tetra- and polyatomic systems

Vincenzo Aquilanti

Physical Chemistry Chemical Physics, 1999

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Few-body quantum and many-body classical hyperspherical approaches to reactions and to cluster dynamics

Vincenzo Aquilanti

Theoretical Chemistry Accounts, 2007

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On the Method of N-Body Hyperspherical Basis Symmetrization On the Method of N-Body Hyperspherical Basis Symmetrization

Lia Margolin

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Alternative sets of hyperspherical harmonics: Satisfying cusp conditions through frame transformations

dmitry green

Journal of Mathematical Physics, 1999

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Hyperspherical harmonics as Sturmian orbitals in momentum space: A systematic approach to the few-body Coulomb problem

Vincenzo Aquilanti

International Reviews in Physical Chemistry, 2001

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Kinematic Rotations of N-particle Hyperspherical Basis

Lia Margolin

arXiv: Nuclear Theory, 2006

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Hyperangular momenta and energy partitions in multidimensional many-particle classical mechanics: The invariance approach to cluster dynamics

Vincenzo Aquilanti

Physical Review A, 2005

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Geometry and symmetries of multi-particle systems

dmitry green

Journal of Physics B: Atomic, Molecular and Optical Physics, 1999

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String-like model for internal rotations in linear polyatomic molecules: new dynamical variables

R. Alvarez-Estrada

1991

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Some specific solutions to the translation-invariant N-body harmonic oscillator Hamiltonian

Claude Semay

Journal of Physics Communications

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A general treatment of vibration-rotation coordinates for triatomic molecules

Jonathan Tennyson

International Journal of Quantum Chemistry, 1991

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Spherical and hyperspherical representation of potential energy surfaces for intermolecular interactions

Vincenzo Aquilanti

International Journal of Quantum Chemistry, 2011

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Matrix elements of potentials in the correlation-function hyperspherical-harmonic method

Rajmund Krivec

Physical Review A, 1990

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The discrete variable representation of the rotational-vibrational Hamiltonian of triatomic molecules

Laszlo Nemes

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Program to calculate coefficients of transformations between three-particle hyperspherical harmonics

Victor Efros

Computer Physics Communications, 2020

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Nonsymmetrized Hyperspherical Harmonics Approach to A = 6 System

A. Kievsky

Few-Body Systems, 2011

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Theoretical methods for the rotation–vibration spectra of triatomic molecules: distributed Gaussian functions compared with hyperspherical coordinates

Maykel Mijares

International Reviews in Physical Chemistry

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Hyperspherical approach to the four-body problem

Chris Greene

2007

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The d-dimensional hydrogen atom: hyperspherical harmonics as momentum space orbitals and alternative Sturmian basis sets

Vincenzo Aquilanti

Chemical Physics, 1997

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O(6) algebraic approach to three bound identical particles in the hyperspherical adiabatic representation

veljko dmitrasinovic

Physics Letters A, 2016

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Hyperspherical representation of potential energy surfaces: intermolecular interactions in tetra-atomic and penta-atomic systems

Alessandra Albernaz

Physica Scripta, 2011

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Spherical and hyperspherical harmonics representation of van der Waals aggregates

Alessandra Albernaz

2016

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New features of collective motion of intrinsic degrees of freedom: Toward a possible way to classify the intrinsic states

Apolodor Raduta, V. Baran

Physical Review C, 2003

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Rotation matrices for real spherical harmonics: general rotations of atomic orbitals in space-fixed axes

Didier Pinchon, Philip Hoggan

Journal of Physics A: Mathematical and Theoretical, 2007

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The spherical-harmonics representation for the interaction between diatomic molecules: The general case and applications to CO CO and CO HF

Alessandra Albernaz

Journal of Molecular Spectroscopy

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Relativistic method to get analytic solutions for many-body problems: Application to theH+2 molecule

Antonio Fonseca

International Journal of Quantum Chemistry, 2003

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Mass parameters for large amplitude collective motion: A perturbative microscopic approach

J. Libert

Physics Letters B, 1999

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Vector parametrization of the N-atom problem in quantum mechanics. III. Separation into two subsystems: Application to NH 3

Fabien Gatti

Chem Phys, 1999

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Vector parametrization of the N-atom problem in quantum mechanics. I. Jacobi vectors

Fabien Gatti, Michel Menou

The Journal of Chemical Physics, 1998

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The subduction of vibrational states of molecules from the momentum space of simple harmonic motion

Arnout Ceulemans

Theoretica Chimica Acta, 1982

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Hyperspherical Symmetry of Hydrogenic Orbitals and Recoupling Coefficients among Alternative Bases

Cecilia Coletti

Physical Review Letters, 1998

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Full Quantum Dynamics of Atom−Diatom Chemical Reactions in Hyperspherical Elliptic Coordinates †

Oleg Tolstikhin

The Journal of Physical Chemistry A, 2004

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Reply to the paper of VD Efros: Comments in some recent papers on the Hyperspherical approach in few--body system

A. Kievsky

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A microscopic nuclear collective rotation-vibration model: 2D submodel

Parviz Gulshani

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