Quantum Wave Equation of Non-conservative System

Abstract

It is well known that Schrödinger's equation is only suitable for the particle in conservative force field. In atomic and molecular field, a particle can suffer the action of non-conservative force. In this paper, a new quantum wave equation is proposed, which can describe the particle in non-conservative force field. We think the new quantum wave equation can be used in many fields.

Quantum Theory of Atom Laser Cooling

“…In this paper, we study the laser cooling mechanisms with new Schrodinger quantum wave equation, which can describe the particle in conservative and non-conservative force field [27]. We prove the atom can be cooled in laser field, i,e, the atom velocity approach zero, and find the cooling temperature of atom T is directly proportional to the atom vibration frequency ω, which is in accordance with experiment result.…”

“…For the particle in non-conservative field, it is needed new quantum wave equation describe it. Recently, we have proposed a new quantum wave equation, which can describe the particle in conservative and non-conservative force field [27]. It is…”

Integral equations for the wave function of particle systems

“…However, in fundamental and applied researches of processes occurring in physical systems, integral equations corresponding to the wave function of a particle system are a powerful, effective means to obtain results. Therefore, in recent years, interest to the integral form of the equations of quantum mechanics has increased [1][2][3][4][5][6][7].…”

Derived wave of gradient driven diffusion's convective flux of efavirenz

“…It is a Hamiltonian system, consisting of the total of the two fluxes that is diffusivity and conductivity. Hamiltonian and Lagrangian systems have been used to describe waves [17,18]. The internal system (anti-solvation) consists of two movements the advective and saturation.…”