It had the following features:(in brief) He defined areas near the nucleus of an atom according to the probability of finding an electron in that area. The Schrodinger equation plays the role of Newtons laws and conservation of energy in classical mechanics - i.e., it predicts the future behavior of a. Examples of numerical computations of high order harmonic generation and of electric field propagation are presented for one molecule and up to 512, thus highlighting cooperative effects in harmonic generation at high order. Answer: The atomic model given by Erwin Schrodinger is generally called the electron cloud model. In particular, we focus on the polarization computation allowing an efficient coupling between the Maxwell and time dependent Schrödinger equations (TDSE), and on an efficient parallelization. After a presentation of the model and a short mathematical study, we examine some numerical approximations for its computation. The model we present is the first one to our knowledge (excepted in, where a one-dimensional version is presented) to be totally nonperturbative, vectorial and multidimensional, taking into account ionization, and high order nonlinearities going far beyond classical nonlinear Maxwell or Schrödinger models.
Schrdingers method involves partial differential equations.
We present in this paper an original ab initio Maxwell-Schrödinger model and a methodology to simulate intense ultrashort laser pulses interacting with a 3D H + 2-gas in the nonlinear nonperturbative regime under and beyond Born-Oppenheimer approximation. In 1925, Erwin Schrdinger and Werner Heisenberg independently developed the new quantum theory.
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