Computational method for the quantum Hamilton-Jacobi equation: Bound states in one dimension
CC Chou, RE Wyatt - The Journal of chemical physics, 2006 - pubs.aip.org
An accurate computational method for the one-dimensional quantum Hamilton-Jacobi
equation is presented. The Möbius propagation scheme, which can accurately pass through …
equation is presented. The Möbius propagation scheme, which can accurately pass through …
Computational method for the quantum Hamilton-Jacobi equation: One-dimensional scattering problems
CC Chou, RE Wyatt - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
One-dimensional scattering problems are investigated in the framework of the quantum
Hamilton-Jacobi formalism. First, the pole structure of the quantum momentum function for …
Hamilton-Jacobi formalism. First, the pole structure of the quantum momentum function for …
Hamilton–Jacobi and fractional like action with time scaling
This paper represents the Hamilton–Jacobi formulation for fractional variational problem
with fractional like action written as an integration over a time scaling parameter. Also we …
with fractional like action written as an integration over a time scaling parameter. Also we …
Rational solutions for the Riccati–Schrödinger equations associated to translationally shape invariant potentials
Y Grandati, A Bérard - Annals of Physics, 2010 - Elsevier
We develop a new approach to build the eigenfunctions of a translationally shape invariant
potential. For this we show that their logarithmic derivatives can be expressed as terminating …
potential. For this we show that their logarithmic derivatives can be expressed as terminating …
The quantum effective mass Hamilton–Jacobi problem
Ö Yeşiltaş - Journal of Physics A: Mathematical and Theoretical, 2010 - iopscience.iop.org
In this paper, the quantum Hamilton–Jacobi theory based on the position-dependent mass
model is studied. Two effective mass functions having different singularity structures are …
model is studied. Two effective mass functions having different singularity structures are …
An extension of quantum Hamilton-Jacobi formalism to N-spatial dimensions and its applications
Due to the importance of hyperspherical coordinates, we report the quantum Hamilton-
Jacobi formalism in N≥ 2 spatial dimensions. The quantum momentum function equations …
Jacobi formalism in N≥ 2 spatial dimensions. The quantum momentum function equations …
Shape invariance and the exactness of the quantum Hamilton–Jacobi formalism
Quantum Hamilton–Jacobi theory and supersymmetric quantum mechanics (SUSYQM) are
two parallel methods to determine the spectra of a quantum mechanical systems without …
two parallel methods to determine the spectra of a quantum mechanical systems without …
Numerical solutions of the quantum Hamilton-Jacobi equation and WKB like representations for one dimensional wave functions
MF Girard - arxiv preprint arxiv:1403.0825, 2014 - arxiv.org
By means of numerical solutions of the quantum Hamilton Jacobi equation, a general WKB-
like representation for one-dimensional wave functions is obtained. This representation is …
like representation for one-dimensional wave functions is obtained. This representation is …
Exponential type complex and non-Hermitian potentials within quantum Hamilton-Jacobi formalism
O Yesiltas, R Sever - arxiv preprint quant-ph/0701155, 2007 - arxiv.org
arxiv:quant-ph/0701155v1 22 Jan 2007 Exponential Type Complex and non-Hermitian
Potentials within Quantum Hamilton-Jacobi Forma Page 1 arxiv:quant-ph/0701155v1 22 Jan …
Potentials within Quantum Hamilton-Jacobi Forma Page 1 arxiv:quant-ph/0701155v1 22 Jan …
Solutions of two-mode bosonic and transformed Hamiltonians
We have constructed the quasi-exactly-solvable two-mode bosonic realization of SU (2).
Two-mode boson Hamiltonian is defined through a differential equation which is solved by …
Two-mode boson Hamiltonian is defined through a differential equation which is solved by …