磁场中液氦薄膜表面电子涟波子系统的性质

研究了磁场中液氦薄膜表面电子与涟波子强耦合和弱耦合的性质。采用线性组合算符方法导出磁场中液氦薄膜表面电子 涟波子系统的振动频率和基态能量。讨论磁场对表面电子 涟波子系统的振动频率和基态能量的影响。

Properties of the Electron-ripplon System on the Surface of Liquid Helium Films in a Magnetic Field

The properties of the electron-ripplon system on the surface of liquid helium film in a magnetic field influence the properties of liquid helium very markedly. The problem of a 2D electron on the surface of a liquid helium film was formlated by Jackson and Platzaman as a surface polaron problem. The properties of electron-ripplon system on the surface of liquid helium film in a magnetic field have been of considerable interest. In recent years the ripplon problem in a magnetic field has been studied by many theoretical methods and the properties of the ripplonic polaron in a magnetic field are measured using experimental method by many investigators. An electron on the surface of a liquid-helium film in a uniform magnetic field is studied as a polaron problem by Kato and Tokuda by an extended variational scheme of the Lee-Low-Pines theory.Using the harmo nicos cillator algebra,Lin,Chen and Jin calculate the ground-state energy of the system of an electron coupled to a ripplon on the outer surface of the liquid-helium film under the influence of a magnetic field of arbitrary strength. By means of a variational scheme of the Pekar type,a system of strongly coupled ripplonic polarons on the outer surface of liquid-helium film under the influence of a mag netic field of arbitrary strength is studied by Chen and Jin.Cesar et al. determined the energy spectrum of the surface electrons on liquid helium films in the presence of a perpendicular applied magnetic field by different approaches within second order perturbation theory.We studied the properties of the surface magnetopolaron in polar crystals by using a linear com bination operator method. However,by means of a linear combination operator method,the research on the pr operties of the electron-ripplon system on the surface of liquid helium fimls in a magnetic field has not been studied so far. The properties of the surface electron weakly and strongly coupled with ripplon on films of liquid helium in amagnetic field are studied. The vibrational frequency and ground state energy of the surface electron-ripplon system on liquid-helium films in amagnetic field was derived by using a linear combination operator method. The results show that,for the strong coupling the vibrational frequency λ of the surface electron-ripplon system on liquid hel ium films in a magnetic field will increase with increasing electron-ripplon coupling constant α and magnetic field B,whereas the ground state energy E₀ will increase with increasing electron-ripplon coupling constant α and with de creasing magnetic field B.