Time-dependent induced potentials in convoy electron emission

Acuña, Gerardo; Miraglia, J. E.

doi:10.1016/j.susc.2006.08.016

Cited by 2 publications

(3 citation statements)

References 19 publications

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“…where α(t) − ξ(t) are time-dependent coefficients which should be determined afterward. Substitution of equations ( 5) and ( 6) into the Liouville-von Neumann equation represented in equation (1) gives the equations for the coefficients:…”

Section: Hamiltonian and Invariant Operatormentioning

confidence: 99%

“…This has happened due to its apparent applicability for understanding diverse problems in different areas of physics. For example, the construction of a time-dependent potential is necessary in studying the collisions of fast ions with metal surfaces [1], the charged-particle beams in accelerators [2] and the electronic structure of atoms in a time-dependent field [3].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Exact wavefunctions for a time-dependent Coulomb potential

Maamache¹,

Saadi²,

Choi³

2008

J. Phys. A: Math. Theor.

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The one-dimensional Schrödinger equation associated with a time-dependent Coulomb potential is studied. The invariant operator method (Lewis and Riesenfeld) and unitary transformation approach are employed to derive quantum solutions of the system. We obtain an ordinary second-order differential equation whose analytical exact solution has been unknown. It is confirmed that the form of this equation is similar to the radial Schrödinger equation for the hydrogen atom in a (arbitrary) strong magnetic field. The qualitative properties for the eigenstates spectrum are described separately for the different values of the parameter ω0 appearing in the x2 term, x being the position, i.e., ω0 > 0, ω0 < 0 and ω0 = 0. For the ω0 = 0 case, the eigenvalue equation of invariant operator reduces to a solvable form and, consequently, we have provided exact eigenstates of the time-dependent Hamiltonian system.

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Section: Hamiltonian and Invariant Operatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exact wavefunctions for a time-dependent Coulomb potential

Maamache¹,

Saadi²,

Choi³

2008

J. Phys. A: Math. Theor.

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show abstract

“…Consequently, its effect on the perturbative potential V(t) can be neglected [47]. We also neglect the time-dependent induced potential originated by the emitted electron [48], whose contribution is reduced by transient dynamic effects [49,50]. Under these assumptions the transition amplitude reduces to…”

Section: A Bsb-v Transition Amplitudementioning

confidence: 99%

Band-structure effects in photoelectron-emission spectra from metal surfaces

et al. 2012

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Photoelectron emission from the valence band of a metal surface due to the grazing incidence of ultrashort laser pulses is studied in the framework of a distorted-wave formulation. We propose a model, named the band-structure-based-Volkov (BSB-V) approximation, which takes into account the contribution of the band structure of the solid. The BSB-V approach is applied to calculate differential electron-emission probabilities for Al(111) and Be(0001) surfaces. A noticeable influence of the electronic band structure was observed in the case of beryllium, while for aluminum such effects were found to play a minor role.

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Time-dependent induced potentials in convoy electron emission

Cited by 2 publications

References 19 publications

Exact wavefunctions for a time-dependent Coulomb potential

Exact wavefunctions for a time-dependent Coulomb potential

Band-structure effects in photoelectron-emission spectra from metal surfaces

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