Introduction to the Theory of Laser-Atom Interactions

Mittleman, Marvin H.

doi:10.1007/978-1-4684-1143-0

Cited by 219 publications

(129 citation statements)

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“…Such powerful lasers are currently operational and open new areas of interest, both experimental and theoretical, in problems of half collisions [1,2].…”

mentioning

confidence: 99%

Multiphoton absorption line shapes and branching ratios in intense laser fields: An application toH2+photodissociation

1992

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“…Such powerful lasers are currently operational and open new areas of interest, both experimental and theoretical, in problems of half collisions [1,2].…”

mentioning

confidence: 99%

Multiphoton absorption line shapes and branching ratios in intense laser fields: An application toH2+photodissociation

1992

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“…e 0 is the free electron charge times minus one, and in H int selfinteraction terms are not included (first and third terms). b kλ and b transverse vector potential of the electromagnetic field is expressed in terms of these operators by [12] A(r) = k,λ 2π c…”

Section: Mmentioning

confidence: 99%

“…For a single-mode laser which we will consider below, φ kλ leads just to a time shift and does not enter any physical result and may thus be dropped. For a strict justification of the classical result, see [12].…”

Section: Limit Of a Classical Electromagnetic Fieldmentioning

confidence: 99%

“…Finally, we can write the drift term as ∇ k¯ (k) with the effective single-particle energy being renormalized by the Hartree-Fock and confinement energy (using the fact that Σ H and V I are momentumindependent),¯ (R, k, t) ≡ (k)+Σ H (R, t)+Σ F (R, k, t)+V I (R). Finally, the gradient of the effective potential can be written in terms of the same effective single-particle energy, since the kinetic energy is R-independent, ∇ R V eff I = ∇ R¯ , allowing for a highly symmetric form of the kinetic equation 12 .…”

Section: Gauge-invariant Expression For the Hartree-fock And Collisiomentioning

confidence: 99%

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Quantum kinetic theory of metal clusters in an intense electromagnetic field

Bonitz¹,

Dufty²

2004

Condens. Matter Phys.

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A quantum kinetic theory for weakly inhomogeneous charged particle systems is derived within the framework of nonequilibrium Green's functions. The results are of relevance for valence electrons of metal clusters as well as for confined Coulomb systems, such as electrons in quantum dots or ultracold ions in traps and similar systems. To be specific, here we concentrate on the application to metal clusters, but the results are straightforwardly generalized. Therefore, we first give an introduction to the physics of correlated valence electrons of metal clusters in strong electromagnetic fields. After a brief overview on the jellium model and the standard density functional approach to the ground state properties, we focus on the extension of the theory to nonequilibrium. To this end a general gauge-invariant kinetic theory is developed. The results include the equations of motion of the two-time correlation functions, the equation for the Wigner function and an analysis of the spectral function. Here, the concept of an effective quantum potential is introduced which retains the convenient local form of the propagators. This allows us to derive explicit results for the spectral function of electrons in a combined strong electromagnetic field and a weakly inhomogeneous confinement potential.

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“…This enables one to use the two-state model over a wide range of field frequencies. The interaction between a two-state atom and a single mode radiation field is often treated using the rotating wave approximation (RWA) that makes the problem exactly solvable [7,10,15,16]. It was first discussed in detail in 1963 by Jaynes and Cummings [17].…”

Section: Introductionmentioning

confidence: 99%

Population control of2s−2ptransitions in hydrogen

Shakov

McGuire

2003

Phys. Rev. A

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We consider the time evolution of the occupation probabilities for the 2s − 2p transition in a hydrogen atom interacting with an external field, V (t). A two-state model and a dipole approximation are used. In the case of degenerate energy levels an analytical solution of the time-dependent Shrödinger equation for the probability amplitudes exists. The form of the solution allows one to choose the ratio of the field amplitude to its frequency that leads to temporal trapping of electrons in specific states. The analytic solution is valid when the separation of the energy levels is small compared to the energy of the interacting radiation.

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Introduction to the Theory of Laser-Atom Interactions

Cited by 219 publications

References 0 publications

Multiphoton absorption line shapes and branching ratios in intense laser fields: An application toH2+photodissociation

Multiphoton absorption line shapes and branching ratios in intense laser fields: An application toH2+photodissociation

Quantum kinetic theory of metal clusters in an intense electromagnetic field

Population control of2s−2ptransitions in hydrogen

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