论文标题

通过振动哈密顿量计算从氢原子辐射出的自发发射的噪声通量,并从环境效应中忽略

Calculating the noise flux of spontaneous emission radiated from Hydrogen-like atoms by means of vibrational Hamiltonian and ignoring from ambient effects

论文作者

Jahanpanah, J.

论文摘要

引入了一种理论模型,用于构建类似氢原子(HLA)的振动哈密顿量。然后使用哈密顿量来得出Heisenberg图片中HLA的振动运动方程。根据波动 - 散落定理(FDT),将最终形成langevin方程在添加耗散项并波动(langevin)力后形成。然后将位置噪声通量定义为电子位置在其相当快的振动振荡期间发生的波动的相关函数()。另一方面,位置波动导致振荡电子的电势和动能的波动,因此电势和动力学噪声通量的出现非常脆弱。振荡电子的位置,电势和动力学噪声通量将通过求解频域中的langevin方程来确定。最终证明,潜在和动力学噪声通量通常充当内部来源,以产生HLA发出的外部噪声通量,并以洛伦兹曲线的自发发射形式发出。与以前的所有程序相反,没有涉及到首次描述自发发射的形成机理的环境效应。

A theoretical model is introduced for constructing the vibrational Hamiltonian of Hydrogen-like atoms (HLA). The Hamiltonian is then used to derive the vibrational motion equations of HLA in Heisenberg picture. The Langevin equation will ultimately be formed after adding the dissipative term and fluctuating (Langevin) force according to the fluctuation-dissipation theorem (FDT). The positional noise flux is then defined as the correlation function of fluctuations that happens for the electron position during its rather fast vibrational oscillations ( ). On the other hand, the positional fluctuations led to the fluctuations in the potential and kinetic energies of oscillating electron so that the appearance of the potential and kinetic noise fluxes is vulnerable. The positional, potential, and kinetic noise fluxes of oscillating electron will be determined by solving the Langevin equation in frequency domain. It is finally demonstrated that the potential and kinetic noise fluxes commonly act as an internal source for producing the external noise flux emitted from HLA in the form of spontaneous emission with a Lorentzian profile. In contrast with all previous procedures, no ambient effect has been involved to describe the forming mechanism of spontaneous emission for the first time.

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