A new class of exact solutions of the Schrödinger equation

被引：0
作者：
E. E. Perepelkin
B. I. Sadovnikov
N. G. Inozemtseva
A. A. Tarelkin
机构：
[1] Lomonosov Moscow State University,Faculty of Physics
[2] Dubna State University,undefined
来源：
Continuum Mechanics and Thermodynamics | 2019年 / 31卷
关键词：
Exact solution; Schrödinger equation; Legendre transform; Nonlinear partial differential equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to find the exact solutions of the Schrödinger equation. As is known, the Schrödinger equation can be reduced to the continuum equation. In this paper, using the nonlinear Legendre transform the equation of continuity is linearized. Particular solutions of such a linear equation are found in the paper, and an inverse Legendre transform is considered for them with subsequent construction of solutions of the Schrödinger equation. Examples of the classical and quantum systems are considered.
引用
收藏
页码：639 / 667
页数：28
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