General solution of the Schrödinger equation with potential field quantization
نویسندگان
چکیده
منابع مشابه
Schrödinger equation of general potential
It is well known that the Schrödinger equation is only suitable for the particle in common potential V (~r, t). In this paper, a general Quantum Mechanics is proposed, where the Lagrangian is the general form. The new quantum wave equation can describe the particle which is in general potential V (~r, ~̇r, t). We think these new quantum wave equations can be applied in many fields. PACS numbers:...
متن کاملNumerical solution for one-dimensional independent of time Schrödinger Equation
In this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison ...
متن کاملGeneral theorem on the Schrödinger equation.
It is unnecessary, nowadays, to point out the importance of the Schrodinger equation to disciplines of science and technology. In principle, one can understand any natural phenomenon if one can solve the corresponding Schrodinger equations. Unfortunately, the Schrodinger equation can only be analytically solved in a few special cases. Therefore, it is very important to know the properties of th...
متن کاملSolution of a Nonlinear Schrödinger Equation
A slightly modified variant of the cubic periodic one-dimensional nonlinear Schrödinger equation is shown to be well-posed, in a relatively weak sense, in certain function spaces wider than L. Solutions are constructed as sums of infinite series of multilinear operators applied to initial data; no fixed point argument or energy inequality are used.
متن کاملExact Multisoliton Solutions of General Nonlinear Schrödinger Equation with Derivative
Multisoliton solutions are derived for a general nonlinear Schrödinger equation with derivative by using Hirota's approach. The dynamics of one-soliton solution and two-soliton interactions are also illustrated. The considered equation can reduce to nonlinear Schrödinger equation with derivative as well as the solutions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: TURKISH JOURNAL OF PHYSICS
سال: 2018
ISSN: 1300-0101,1303-6122
DOI: 10.3906/fiz-1801-10