Stabilization of circular states of the hydrogen atom in a strong field

A solution of the three-dimensional time-dependent Schrödinger equation, describing the ionization dynamics of the hydrogen atom in a circular state in an electromagnetic field, is obtained by direct numerical integration. It is shown that the observed stabilization effect can be interpreted on the basis of the Kramers-Henneberger approach. A simple analytical model is proposed, which qualitatively describes the basic laws of the ionization process under the conditions of the reported calculations and laboratory experiments on ionization of the circular hydrogenlike 5g, m=4 state of the Ne atom.     

Perturbative approach to the hydrogen atom in a strong magnetic field

We consider states of the hydrogen atom with the principal quantum number n≤3 and zero magnetic quantum number in a constant homogeneous magnetic field ?. The perturbation theory series is summed using the Borel transformation and conformal mapping of the Borel variable. Convergence of the approximate energy eigenvalues and their agreement with the corresponding existing results are observed for external fields up to n³?/?₀～5, where ?₀ is the atomic magnetic field. The possibility of restoring the asymptotic behavior of energy levels using perturbation theory coefficients is also discussed.     

强磁场中氢原子的能级结构

发展了一套简单高效的非微扰理论方法研究强磁场中的原子能级结构.作为例子,给出了磁场强度从0到1000个原子单位,氢原子基态和低激发态的结合能以及四极矩等重要原子能级结构参数.结果表明:相对于其他的高精度计算方法,该方法不仅能计算出高精度的能级位置而且可方便给出精确的电子波函数.此外,该法还具有很强的普适性,可直接推广到原子与任意方向的交叉电磁场相互作用的研究. 关键词： 强磁场 CWDVR谱方法 氢原子能级结构 四极矩     

微扰法计算中等强磁场中氢原子的能级

本文在考虑氢原子轨道运动磁矩与磁场之间、自旋磁矩与磁场之间和感生磁矩与外磁场之间的相互作用的基础上,根据角动量和球谐函数的性质,应用简并态微扰方法研究了在中等强磁场中氢原子的能级,给出了计算中等强磁场中氢原子的一级近似能级的方法,具体计算了23.5126≤B≤1.881728×10~4T范围内氢原子n=2的各能级的数值,结果与有关文献给出的理论计算值是相近的,表明本文所给出的方法是简单的、计算结果是正确的.     

正交非均匀电场中氢原子的高激发态

用数学软件Mathematica研究正交非均匀电场中氢原子两个高激发态(n=4和5)的能级和波函数.讨论能级分裂,并绘制零级近似下氢原子的电子概率角分布图.     

Fine splits of photon emission spectrum of hydrogen atom caused by transitions between different dressed states in intense high frequency laser field

The photon emission spectrum of the hydrogen atoms in an intense high-frequency laser pulse is simulated by using one-dimensional soft Coulomb potential. Regular fine structures appear on the two sides of both the odd and even multiples of photon energy of the laser field besides the ordinary odd harmonic peaks. It is proved that the splits of the fine structures are responsible for hyper-Raman lines and the energy spacing between the odd harmonic lines is equal to the difference in energy between the eigenstates with the same parity of the time averaged Krameters Henneberger （KH） potential. By analysing the features of the fine structures, we also verify that the so-called even order harmonics under the stabilization condition are indeed hyper-Raman lines caused by the transitions between the dressed atomic states with different values of parity.     

会聚线偏振强激光场中氢原子的能态变化

本文研究氢原子在会聚的线偏振强激光场中原子势的变化以及由此而引起的原子能级移位和波函数的空间扩展问题.结果表明,变化后的原子势等价于半径由外场决定而荷电量为核电荷的振荡球壳的势.在此势下,原子能级将变浅和分裂,波函数的空间分布将增大.     

The hydrogen atom in strong magnetic fields: Summation of the weak field series expansion

Using the weak field expansion, we have calculated the ground-state energy of the hydrogen atom in a magnetic field for values of the field up to about 10¹³G. The perturbative expansion has been summed by an order-dependent mapping method. We compare our results with previous calculations. Our method allows us to obtain: first, more accurate values of the binding energy for a field up to 10¹⁰G, then good results in the transition region between the two sets of accurate calculations of the literature, and finally still reasonably accurate values up to 10¹³G.     

Excited states of two-dimensional hydrogen atom in tilted magnetic field: Quantum chaos

The aim of the current work is the research of the influence of a tilted magnetic field direction on the spectrum and the energy level spacing distribution of a two-dimensional (2D) hydrogen atom and of an exciton in GaAs/Al_0.33Ga_0.67As quantum well. It was discovered that the quantum chaos (QC) is initiated with an increasing angle α between the magnetic field direction and the normal to the atomic plane. It is characterized by the repulsion of levels leading to the eliminating of the shell structure and by changing the spectrum statistical properties. The statement about the initiation of chaos and its dominance over regular motion with increasing angle α is confirmed by the results of our calculations of the classical dynamics presented in this paper. The evolution of the spatial distribution of the square of the absolute value of the wave function at an increasing angle α was observed. The differences of calculated dependencies of energies for various excited states on the tilt angle at a wide range of the magnetic field strength were described.     

Effect of the proton mass on the spectrum of the hydrogen atom in a strong magnetic field

Contrary to a recent claim, we point out that, in the problem of a hydrogen atom in a strong magnetic field, the centre-of-mass motion and the relative motion of the particles can be separated, and that the effect of the finite proton mass on the spectrum is negligible.     

强场与级联型三能级原子相互作用中原子的偶极压缩效应

采用数值计算方法研究了强相干初态光场与级联型三能级原子相互作用中原子的偶极压缩效应结果表明:级联型三能级原子偶极算符的两个正交分量均呈现出周期性的压缩现象,原子存在偶极压缩,且压缩的最大深度比弱场作用情况下要深得多;随着n值的不断增大,偶极算符两个正交分量的振荡频率随之增大,场与原子的非线性耦合越来越强,且振荡重复地出现复苏缩现象.     

Limitations of the strong field approximation in ionization of the hydrogen atom by ultrashort pulses

We present a theoretical study of the ionization of hydrogen atoms as a result of the interaction with an ultrashort external electric field. Doubly-differential momentum distributions and angular momentum distributions of ejected electrons calculated in the framework of the Coulomb-Volkov and strong field approximations, as well as classical calculations are compared with the exact solution of the time dependent Schr ödinger equation. We show that in the impulsive limit, the Coulomb-Volkov distorted wave theory reproduces the exact solution. The validity of the strong field approximation is probed both classically and quantum mechanically. We found that classical mechanics describes the proper quantum momentum distributions of the ejected electrons right after a sudden momentum transfer, however pronounced the differences at latter stages that arise during the subsequent electron-nucleus interaction. Although the classical calculations reproduce the quantum momentum distributions, it fails to describe properly the angular momentum distributions, even in the limit of strong fields. The origin of this failure can be attributed to the difference between quantum and classical initial spatial distributions.     

Electromagnetic field of a dipole in an anisotropic medium

The harmonically varying field of point electric and magnetic dipoles in an anisotropic medium with an anisotropic axis is found for the first time.     

Stabilization of an atom in a strong high-frequency field

The dynamics of a classical model two-electron atom in a strong high-frequency electromagnetic field is investigated by numerical integration. It is found that, with an increase in the field intensity, the system demonstrates enhanced stability with respect to ionization. It is shown that stabilization arises due to the formation of a new object—a Kramers-Henneberger atom.     

Stabilization of an atom in a strong laser field

A quasiresonant laser field initiates the decay of an initially occupied atomic level into the continuum. If the amplitude of the external field is sufficiently high, other atomic levels, not meeting the condition for exact resonance, begin to participate in the atomic dynamics. This phenomenon leads to the stabilization of the atom. Zh. éksp. Teor. Fiz. 115, 1236–1242 (April 1999)     

Ionization of a two-electron atom in a strong electromagnetic field

A one-dimensional model of a helium atom in an intense field of a femtosecond electromagnetic pulse has been constructed using the Hartree technique. “Exact” calculations have been compared to the approximations of “frozen” and “passive” electrons. A nonmonotonic dependence of the single-electron ionization probability on the radiation intensity has been detected. Minima in the ionization probability are due to multiphoton resonances between different atomic states due to the dynamic Stark effect. We suggest that the ionization suppression is due to the interference stabilization in this case. Zh. éksp. Teor. Fiz. 112, 470–482 (August 1997)     

Glauber amplitudes for transitions from low lying states in hydrogen atom by charged particle impact

The Glauber amplitudes for the general transitionnlm→n’l’m’ in charged particle hydrogen atom collisions have been obtained in the form of a one-dimensional integral. The final expression involves only a few hypergeometric functions ifn is not too large and is particularly suited to study excitation to highly excited states from a low lying state.     

Parities of strong dipole ground state transitions in88Sr

By on-line mass separation and subsequent gamma and electron decay-spectroscopy at very low energy, two new isomers,^124mCs (T_1/2=6.3 ±0.3 seconds) and^127mBa (T_1/2=1.9±0.2 seconds) have been identified.