论文标题
差异原理，波颗粒二元性和schrödinger方程
A variational principle, wave-particle duality, and the Schrödinger equation
论文作者
论文摘要
A principle is proposed according to which the dynamics of a quantum particle in a one-dimensional configuration space (OCS) is determined by a variational problem for two functionals: one is based on the mean value of the Hamilton operator, while the second one is based on the mean value of the total energy of the particle, which is determined through the phase of the wave function with help of the generalized Planck-Einstein relation.第一个函数包含有关量子粒子的红体性质的信息，第二个功能包含其波性质。真正的动力学由波函数描述，这两个功能的变化相等。该变异原理也可以看作是波颗粒二元性的数学公式，导致了Schrödinger方程。
A principle is proposed according to which the dynamics of a quantum particle in a one-dimensional configuration space (OCS) is determined by a variational problem for two functionals: one is based on the mean value of the Hamilton operator, while the second one is based on the mean value of the total energy of the particle, which is determined through the phase of the wave function with help of the generalized Planck-Einstein relation. The first functional contains information about the corpuscular properties of a quantum particle, and the second one comprises its wave properties. The true dynamics is described by a wave function for which the variations of these two functionals are equal. This variational principle, which can also be viewed as a mathematical formulation of wave-particle duality, leads to the Schrödinger equation.
