We report theoretical investigations of the tomographic procedure suggested by Itatani et al. [Nature (London) 432, 867 (2004)] for reconstructing highest occupied molecular orbitals (HOMOs) using high-order harmonic generation (HHG). Due to limited range harmonics from plateau region, we found that even under most favorable assumptions, it is still very difficult obtain accurate HOMO wave functions procedure, but symmetry HOMOs and internuclear separation between atoms can be accurately...

<title>Abstract</title> Objective Suicide trends among adolescents aged 15 to 24 are often linked significant life transitions, such as changes in living and working environments; however, Vietnam, research on suicide the general population remains limited. The aim of this study was identify at-risk youth related suicidal ideation self-destructive behavior young adult psychiatric patients. Methods This included 101 participants receiving inpatient treatment at Institute Mental Health, Bach...

By analyzing theoretical results from a numerical solution of the time-dependent Schr\"odinger equation for atoms in few-cycle bicircular laser pulses, we show that high-energy photoelectron momentum spectra can be used to extract accurate elastic scattering differential cross sections target ion with free electrons. We find retrieval range angle pulses is wider than linearly polarized although method has modified account different returning directions electron continuum. This result extend...

We present a detailed theoretical investigation on strong-field ionization of polar (CO and NO) as well nonpolar molecules (${\mathrm{N}}_{2}, {\mathrm{O}}_{2}$, ${\mathrm{CO}}_{2}$). Our results indicate that accounting for the Stark correction in molecular tunneling theory leads to overall fairly good agreements with numerical solutions time-dependent Schr\"odinger equation. Furthermore, we show effect dynamic core-electron polarization, general, has weak influence angle-dependent...

Dynamic core-electron polarization (DCeP) is a correction to the single-active electron (SAE) approximation by considering response of core electrons time-dependent laser field. Despite being initially construed as perturbative correction, in some cases especially atoms and molecules with large polarizabilities, DCeP can qualitatively alter predictions produced bare SAE theory. In this study, we unambiguously demonstrate nonperturbative role resolved odd-even high-order harmonic generation...

We theoretically investigate the influence of dynamic core-electron polarization (DCeP) CO molecules on high-order harmonic generation (HHG) by solving time-dependent Schr\"odinger equation (TDSE) within single-active-electron (SAE) approximation. The effect DCeP is shown to depend strongly molecular orientation angle $\ensuremath{\theta}$. Particularly, compared calculations without DCeP, inclusion this gives rise an enhancement intensity at $\ensuremath{\theta}={0}^{\ensuremath{\circ}}$...

Voice control is an important function in many mobile devices, a smart home, especially providing people with disabilities convenient way to communicate the device. Despite studies on this problem world, there has not been formal study for Vietnamese language. In addition, did offer solution that can be expanded easily future. During study, dataset of speech commands labeled and organized shared community general language research particular. This paper provides collection processing...

We develop an approach to directly control the phase of electron's sub-cycle motion in intense laser field. The method is established by tuning a low-frequency electric field applied on centrosymmetric gaseous target during its interaction with few-cycle infrared pulse. find universal analytical relation between and induced harmonic frequency shift, derived strong-field approximation. This simple universality are confirmed numerically solving time-dependent Schrödinger equation. Moreover, we...

We illustrate an iterative method for retrieving the internuclear separations of N2, O2 and CO2 molecules using high-order harmonics generated from these by intense infrared laser pulses. show that accurate results can be retrieved with a small set one or few alignment angles molecules. For linear also isotropically distributed By extracting transition dipole moment harmonic spectra, we further demonstrated it is preferable to retrieve interatomic separation iteratively fitting extracted...

A hydrogen atom in a constant magnetic field is problem whose Schrödinger equation has been considered to be analytically unsolvable. However, it found for the case of two-dimensional space some specific values which analytical solutions. In this paper, we give full theory these First, construct an calculate exact-solution-points, allow exact solutions equation. The explicit forms wave functions corresponding are also given. Second, analyse exact-solution-points and discover important rules....

Reduced exciton mass, polarizability, and dielectric constant of the surrounding medium are essential properties for semiconducting materials, they have been extracted recently from magnetoexciton energies. However, acceptable accuracy suggested method requires very high magnetic intensity. Therefore, in present paper, we propose an alternative extracting these material available experimental s-state energies monolayer transition-metal dichalcogenides (TMDCs). The is based on sensitivity to...

Odd-even harmonic generation contains the system's dynamical symmetry breaking, and its decoding is desirable not only in understanding physics but also for applications of dynamics extraction. In this work we discover a simple universal relation between odd-even harmonics asymmetry terahertz (THz)-assisted laser-atomic system: atoms primary midinfrared laser pulse combined with THz laser. We demonstrate numerically then derive analytically dependence even-to-odd ratio on electric field....

We suggest one variant of generalization the Hurwitz transformation by adding seven extra variables that allow an inverse to be obtained. Using this generalized we establish connection between Schrödinger equation a 16-dimensional isotropic harmonic oscillator and nine-dimensional hydrogen-like atom in field monopole described septet potential vectors non-Abelian model 28 operators. The explicit form all commutation relations algebra are given.

We point out the possibility of probing nuclear vibration by using high-order harmonic generation (HHG) with ultrashort laser pulses. By analyzing HHG spectra obtained from numerical solution time-dependent Schr\"odinger equation, we find that intensity emitted harmonics is strongly determined not only molecular configuration but also initial velocity nuclei. The calculations show enhanced nearly time when internuclear separation takes equilibrium value and nuclei are moving closer together....

Exact analytical solutions of the Schrödinger equation for a two-dimensional purely sextic double-well potential are proved to exist denumerably infinite set geometry parameter well. First, values which allow exact determined. Then, explicit wave functions and corresponding energies calculated allowed values. Concrete given principal quantum number n up 10. Moreover, some interesting rules obtained also given; particularly, negative energy levels is obtained. For analyzing their...

We present a detailed theoretical study of the odd-even harmonics generated from polar molecule CO by method based on numerically solving time-dependent Schrödinger equation within single-active-electron approximation. First, we reproduce pure even harmonic generation predicted theoretically Hu et al. using density functional theory [H. al., Phys. Rev. Lett., 2017, 119, 173201]. Then, Floquet approach, are able to attribute this behavior half-cycle mirror symmetry molecule-field system when...

It is argued that the dynamic core-electron polarization (DCEP) in polar molecules primarily affects harmonic processes at ionization step only. This manifestation can also be understood view of strong-field assumption parent ion's potential becomes irrelevant when electron accelerated continuum-energy region. However, scenario vastly different, especially case long-wavelength lasers as shown this paper, where we demonstrate a complete physical picture DCEP on process from asymmetric carbon...

It is widely comprehended that temperature may cause phonon-exciton scattering, enhancing the energy level's linewidth and leading to some spectrum shifts. However, in present paper, we suggest a different mechanism allows thermal motion of exciton's center mass (c.m.) affect magnetoexciton energies monolayer dichalcogenides (TMDCs). By nontrivial but precise separation c.m. from an exciton TMDC with magnetic field, obtain equation for relative containing motional Stark term proportional...

The authors establish the exact solution of Dirac equation for a charged particle moving in Coulomb field plus Aharonov-Bohm monopole by using two-dimensional complex space. On basis found solution, relativistic analogy effect system diogen atom existing an infinite cylindrical solenoid is studied. In this case obtain some surprising results. One them that absent certain states.