Interference in nonlinear Compton scattering using a Schrödinger-equation approach

Venkatesh, Akilesh; Robicheaux, F.

doi:10.1103/physreva.103.013111

Cited by 3 publications

(6 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One-photon scattering processes in the parameter regime studied in this paper were shown in Ref. [30] to be adequately described by the first order perturbative treatment of the incoming field. For a complete description of this approach and its validity, see Ref.…”

Section: A Deriving the Double Differential Scattering Probabilitymentioning

confidence: 69%

“…( 11) has been evaluated and bench marked with the results of the non-perturbative Schrödinger equation from Ref. [30,31]. They show excellent agreement for the parameter regime discussed in the manuscript thus validating the approximations involved.…”

Section: A Deriving the Double Differential Scattering Probabilitymentioning

confidence: 77%

“…For a complete description of this approach and its validity, see Ref. [30]. Using this approach, the scattering probability amplitude for the process ψ…”

Section: A Deriving the Double Differential Scattering Probabilitymentioning

confidence: 99%

“…The final results are independent of the choice of the windowing function provided it is sufficiently smooth. [30,31] For the parameter regime explored, the only source term in Eq. (1) that contributes to the scattering probability is the Compton scattering term A C ψ (0) 0 [30].…”

Section: A Deriving the Double Differential Scattering Probabilitymentioning

confidence: 99%

“…[30,31] For the parameter regime explored, the only source term in Eq. (1) that contributes to the scattering probability is the Compton scattering term A C ψ (0) 0 [30]. This term is sometimes referred to as the off-resonant contribution in x-ray scattering [32,33] and this step is analogous to neglecting the dispersive correction term in Ref.…”

Section: A Deriving the Double Differential Scattering Probabilitymentioning

confidence: 99%

See 4 more Smart Citations

Simulations for x-ray imaging of wave-packet dynamics

Venkatesh¹,

Robicheaux²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

Previous work on imaging wave packet dynamics with x-ray scattering revealed that the scattering patterns deviate substantially from the notion of instantaneous momentum density of the wave packet. Here we show that scattering patterns can provide clear insights into the electron wave packet dynamics if the final state of the scattered electron and the scattered photon momentum are determined simultaneously. The scattering probability is shown to be proportional to the modulus square of the Fourier transform of the instantaneous spatial wave function weighted by the final state of the electron. Several cases for the choice of final state of the electron are explored. First, the case where the final state can be measured up to a given principal quantum number n and orbital angular momentum l are presented. Next, the case where the final states can only be determined up to a given energy is discussed. Finally, the case of an initial wave packet consisting of a large amount of a known stationary state and a small amount of an unknown stationary state is examined. The scattering profile is used to determine the properties of the unknown state in the wave packet.

show abstract

Section: A Deriving the Double Differential Scattering Probabilitymentioning

confidence: 69%

Section: A Deriving the Double Differential Scattering Probabilitymentioning

confidence: 77%

“…For a complete description of this approach and its validity, see Ref. [30]. Using this approach, the scattering probability amplitude for the process ψ…”

Section: A Deriving the Double Differential Scattering Probabilitymentioning

confidence: 99%

Section: A Deriving the Double Differential Scattering Probabilitymentioning

confidence: 99%

Section: A Deriving the Double Differential Scattering Probabilitymentioning

confidence: 99%

See 3 more Smart Citations

Simulations for x-ray imaging of wave-packet dynamics

Venkatesh¹,

Robicheaux²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Simulations for x-ray imaging of wave-packet dynamics

Venkatesh

Robicheaux

2022

Phys. Rev. A

View full text Add to dashboard Cite

Solitary and periodic pattern solutions for time-fractional generalized nonlinear Schrödinger equation

Zhao

2024

Nonlinear Engineering

View full text Add to dashboard Cite

In this study, the fractional variational iteration method using He’s polynomials is employed for constructing semi-analytical solutions of the fractional-in-time generalized nonlinear Schrödinger equation involving Jumarie’s modified Riemann–Liouville derivative. As a result, we obtain the solutions of the original problems in the forms of convergent series that are calculated easily. Our calculation results indicate that the method is quite efficient and convenient for these problems.

show abstract

Interference in nonlinear Compton scattering using a Schrödinger-equation approach

Cited by 3 publications

References 38 publications

Simulations for x-ray imaging of wave-packet dynamics

Simulations for x-ray imaging of wave-packet dynamics

Simulations for x-ray imaging of wave-packet dynamics

Solitary and periodic pattern solutions for time-fractional generalized nonlinear Schrödinger equation

Contact Info

Product

Resources

About