# Exact solution of the Schrodinger equation for photoemission from a metal

@article{Costin2019ExactSO, title={Exact solution of the Schrodinger equation for photoemission from a metal}, author={O. Costin and Rodica D. Costin and Ian Jauslin and Joel L Lebowitz}, journal={arXiv: Quantum Physics}, year={2019} }

We solve rigorously the time dependent Schrodinger equation describing electron emission from a metal surface by a laser field perpendicular to the surface. We consider the system to be one-dimensional, with the half-line $x 0$ to the vacuum. The laser field is modeled as a classical electric field oscillating with frequency $\omega$, acting only at $x>0$. We consider an initial condition which is a stationary state of the system without a field, and, at time $t=0$, the field is switched on. We…

## References

SHOWING 1-10 OF 21 REFERENCES

Solution of the time dependent Schrödinger equation leading to Fowler-Nordheim field emission

- PhysicsJournal of Applied Physics
- 2018

We solve the time-dependent Schrodinger equation describing the emission of electrons from a metal surface by an external electric field E, turned on at t=0. Starting with a wave function ψ(x,0),…

Strong-field photoemission from surfaces: Theoretical approaches

- Physics
- 2011

The problem of highly nonlinear photoemission from a metal surface is considered using analytical and numerical approaches. Descriptions are found which cover both the weak-field and the strong-field…

Attosecond control of electrons emitted from a nanoscale metal tip

- PhysicsNature
- 2011

The results indicate that the attosecond techniques developed with atoms and molecules can also be used with solids, and foresee subfemtosecond, subnanometre probing of collective electron dynamics in solid-state systems ranging in scale from mesoscopic solids to clusters and to single protruding atoms.

Initial value problem for the time-dependent linear Schr\"odinger equation with a point singular potential by the uniform transform method

- Mathematics
- 2016

We study an initial value problem for the one-dimensional non-stationary linear Schr\"odinger equation with a point singular potential. In our approach, the problem is considered as a system of…

Electron Emission in Intense Electric Fields

- Physics
- 1928

1. Introduction .—The main features of the phenomenon of the extraction of electrons from cold metals by intense electric fields are well known, and an approximate theory of the effect was first…

A Direct Photoelectric Determination of Planck's " h "

- Physics
- 1916

Quantum theory was not originally developed for the sake of
interpreting photoelectric phenomena. It was solely a theory
as to the mechanism of absorption and emission of electromagnetic
waves by…

Plasma perspective on strong field multiphoton ionization.

- PhysicsPhysical review letters
- 1993

During strong-field multiphoton ionization, a wave packet is formed each time the laser field passes its maximum value, and one important parameter which determines the strength of these effects is the rate at which the wave packet spreads in the direction perpendicular to the laser electric field.

INITIAL VALUE PROBLEM FOR THE TIME-DEPENDENT LINEAR SCHRÖDINGER EQUATION WITH A POINT SINGULAR POTENTIAL BY THE UNIFIED TRANSFORM METHOD

- Mathematics
- 2018

Abstract. We study an initial value problem for the one-dimensional non-stationary linear Schrödinger equation with a point singular potential. In our approach, the problem is considered as a system…

A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type

- MathematicsAdv. Comput. Math.
- 1996

A, k, q are known constants. Equation (1) is of the type which arises in problems of heat flow when there is an internal generation of heat within the medium; if the heat is due to a chemical…

A unified transform method for solving linear and certain nonlinear PDEs

- MathematicsProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 1997

A new transform method for solving initial boundary value problems for linear and for integrable nonlinear PDEs in two independent variables is introduced. This unified method is based on the fact…