Zobrazeno 1 - 10
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pro vyhledávání: '"Zhao, W Q"'
Publikováno v:
Journal of Physics: Conference Series; 2024, Vol. 2752 Issue 1, p1-10, 10p
Autor:
Zhao, W. Q.
An explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with generalized $N$-dimensional Sombrero-shaped potential is presented. The condition for the convergence of the iteration procedure and the dependenc
Externí odkaz:
http://arxiv.org/abs/0712.4054
We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with a generalized double well potential $V=\frac{g^2}{2}(x^2-1)^2(x^2+a)$. The condition for the convergence of the iteration procedure and
Externí odkaz:
http://arxiv.org/abs/0709.1997
The convergent iterative procedure for solving the groundstate Schroedinger equation is extended to derive the excitation energy and the wave function of the low-lying excited states. The method is applied to the one-dimensional quartic potential pro
Externí odkaz:
http://arxiv.org/abs/quant-ph/0607075
We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with an $N$-dimensional radial potential $V=\frac{g^2}{2}(r^2-1)^2$ and an angular momentum $l$. For $g$ large, the rate of convergence is s
Externí odkaz:
http://arxiv.org/abs/quant-ph/0510193
Autor:
Zhao, W. Q.
The newly developed iterative method based on Green function defined by quadratures along a single trajectory is combined with the variational method to solve the ground state quantum wave function for central potentials. As an example, the method is
Externí odkaz:
http://arxiv.org/abs/quant-ph/0202161
We present a new convergent iterative solution for the two lowest quantum wave functions $\psi_{ev}$ and $\psi_{od}$ of the Hamiltonian with a quartic double well potential $V$ in one dimension. By starting from a trial function, which is by itself t
Externí odkaz:
http://arxiv.org/abs/quant-ph/0105142
We present a new method to derive low-lying N-dimensional quantum wave functions by quadrature along a single trajectory. The N-dimensional Schroedinger equation is cast into a series of readily integrable first order ordinary differential equations.
Externí odkaz:
http://arxiv.org/abs/quant-ph/0005039
We discuss a new relation between the low lying Schroedinger wave function of a particle in a one-dimentional potential V and the solution of the corresponding Hamilton-Jacobi equation with -V as its potential. The function V is $\geq 0$, and can hav
Externí odkaz:
http://arxiv.org/abs/quant-ph/9910047
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