Two-photon transitions in confined hydrogenic atoms

Lumb, Sonia; Prasad, Vinod

doi:10.31349/revmexfis.64.42

Cited by 6 publications

(2 citation statements)

References 31 publications

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“…Only a few recent calculations on two‐photon transition amplitudes and transparency amplitudes under classical plasma are available for H‐like ions using nonvariational pseudo state and other approaches. [ 78–82 ] Two‐photon absorption in large molecules have important applications in microscopy, microfabrication, upconverted lasing, photodynamic therapy, localized release of bioactive species, and several others, leading to the actual development and fabrication of efficient two‐photon dyes. [ 83 ] TDDFT calculations are available on two‐photon processes in such large systems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear response properties of atomic hydrogen under quantum plasma environment: A time‐dependent variation perturbation study on hyperpolarizability and two‐photon excitations

Bhattacharyya¹,

Mukherjee

Fricke

2020

Int J of Quantum Chemistry

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Pilot calculations on the frequency-dependent nonlinear response property, viz. the electric dipole hyperpolarizability of atomic hydrogen under quantum plasma environment, have been performed using an external oscillatory electric field. Fourthorder perturbation theory within a variational scheme is adopted to obtain the hyperpolarizability within and beyond normal dispersion region. Two-photon absorption from the ground state is explicitly obtained from the pole positions of nonlinear response of the system and studied up to principal quantum number n = 4. Ground and perturbed wave functions of appropriate symmetries are represented by linear combination of Slater-type orbitals. Exponential cosine-screened Coulomb potential is used to simulate the quantum plasma environment. With respect to plasma strength, the nonlinear response properties are considerably enhanced. Results are compared with those under classical plasma environment represented by screened Coulomb potential. Departure from Coulomb potential results in lifting of the accidental degeneracy in the respective two-photon excited states beyond n = 2. For free hydrogen atom, the transition energies and the radial density profiles of the respective two-photon excited states match exactly with those obtained from analytical wave functions.

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Section: Introductionmentioning

confidence: 99%

Nonlinear response properties of atomic hydrogen under quantum plasma environment: A time‐dependent variation perturbation study on hyperpolarizability and two‐photon excitations

Bhattacharyya¹,

Mukherjee

Fricke

2020

Int J of Quantum Chemistry

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“…In recent years several calculations on two photon transitions on low Z atomic systems under external confinements like that under a spherical box or weakly coupled plasma represented by screened Coulomb potential (SCP) have been reported [22,[26][27][28][29]. Results exist also on two photon transition amplitudes, transparency frequencies and absorption coefficients using non-variational pseudo state summation techniques and other approaches.…”

Section: Introductionmentioning

confidence: 99%

Information theoretic measures on the two-photon transitions of hydrogen atom embedded in weakly coupled plasma environment

Mondal

Saha²,

Mukherjee³

et al. 2023

Phys. Scr.

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The quantum information theoretic measures in terms of Shannon entropy and Fisher entropy (both in position and momentum spaces) on the ground, excited as well as virtual states arising out of the two-photon transitions (1s--> nl; n=2-4, l=0,2) of H atom embedded in classical weakly coupled plasma environment are done for the first time. Fourth order time dependent perturbation theory is adopted within a variational framework for calculating the two photon excitation energies and their respective wavefunctions from an analysis of the pole positions of the non linear response of the system. The representation of virtual state follows from an analysis of the linear response at such poles using a novel method developed by us. Ground and perturbed state wave functions of appropriate symmetries are represented by linear combination of Slater-type orbitals. The analytic form of the momentum space wave functions of ground, excited and virtual states are determined by taking Fourier transformation of the respective position space wave functions. The quantum information measures give interesting insights on the delocalization patterns of the all the real and virtual states under question \textit{w.r.t.} the increase in plasma strength. The estimated data values are found to be in excellent agreement with the few existing in literature for the ground as well as excited states participating in the two-photon transitions. Such data for the virtual states are completely new and can be set as benchmark for future works in related disciplines.

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Frequency dependent hyperpolarizability and two photon excitations in hydrogen atom confined under classical plasma environment

Bhattacharyya¹,

Mukherjee

Fricke

2020

Physics Letters A

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Two-photon transitions in confined hydrogenic atoms

Cited by 6 publications

References 31 publications

Nonlinear response properties of atomic hydrogen under quantum plasma environment: A time‐dependent variation perturbation study on hyperpolarizability and two‐photon excitations

Nonlinear response properties of atomic hydrogen under quantum plasma environment: A time‐dependent variation perturbation study on hyperpolarizability and two‐photon excitations

Information theoretic measures on the two-photon transitions of hydrogen atom embedded in weakly coupled plasma environment

Frequency dependent hyperpolarizability and two photon excitations in hydrogen atom confined under classical plasma environment

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