A time-dependent Fourier grid Hamiltonian method. Formulation and application to the multiphoton dissociation of a diatomic molecule in intense laser field

Adhikari, Satrajit; Dutta, P.; Bhattacharyya, S. P.

doi:10.1016/0009-2614(92)85012-y

Cited by 79 publications

(24 citation statements)

References 16 publications

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“…(8) represent the values of the coordinate representative of the state function |φ 0 i at the grid points, the values of which are obtained by standard variational recipe. The FGH method as shown by Adhikari et al [37,38], can be used to propagate the wave function on the same grid. Thus when the perturbation V is switched on, the state function Ψ(x, t) is given by…”

Section: The Model and The Methodsmentioning

confidence: 99%

“…The x cl obtained by solving the corresponding Hamilton's equation are used in the Schrödinger equation. The relevant time-dependent Schrödinger equation is solved by invoking the time-dependent Fourier grid Hamiltonian method [37,38]. The time-dependent Schrödinger equation (TDSE) describing our system can be written down as…”

Section: The Model and The Methodsmentioning

confidence: 99%

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Effects of barrier fluctuation on the tunneling dynamics in the presence of classical chaos in a mixed quantum-classical system

2007

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We present a numerical investigation of the tunneling dynamics of a particle moving in a bistable potential with fluctuating barrier which is coupled to a non-integrable classical system and study the interplay between classical chaos and barrier fluctuation in the tunneling dynamics. We found that the coupling of the quantum system with the classical subsystem decreases the tunneling rate irrespective of whether the classical subsystem is regular or chaotic and also irrespective of the fact that whether the barrier fluctuates or not. Presence of classical chaos always enhances the tunneling rate constant. The effect of barrier fluctuation on the tunneling rate in a mixed quantum-classical system is to suppress the tunneling rate. In contrast to the case of regular subsystem, the suppression arising due to barrier fluctuation is more visible when the subsystem is chaotic.

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Section: The Model and The Methodsmentioning

confidence: 99%

Section: The Model and The Methodsmentioning

confidence: 99%

Effects of barrier fluctuation on the tunneling dynamics in the presence of classical chaos in a mixed quantum-classical system

2007

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“…The FGH method, as shown by Adhikari et al [18,19] can be used to propagate the wave function on the same grid. Thus, when the perturbations produced by the randomly fluctuating well-depth is switched on, the state function ©´Ü Øµ is supposed to be given by…”

Section: The Methodsmentioning

confidence: 99%

Tunneling through a time-dependent barrier — a numerical study

Sarkar¹

2000

Pramana - J Phys

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We present a numerical investigation of quantum mechanical tunneling process in a double well potential with fluctuating barrier. The tunneling probability and rate are calculated for two cases in which (i) the height of the barrier is undergoing harmonic oscillation with frequency and (ii) the height of the barrier is undergoing random fluctuation with frequency . It is observed that in both cases, the quantum mechanical tunneling probability and rate exhibit a maximum as a function of the fluctuation frequency. The optimal frequency i.e. the frequency at which rate exhibits a maximum shows a strong isotopic mass effect.

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“…The dynamics of the perturbed system can be similarly described by the time-dependent FGH method [10,11] in which ͉͑x,t͒͘ is represented as…”

Section: Theorymentioning

confidence: 99%

Dissociation of a diatomic molecule induced by discontinuous reversals of a static electric field

Ghosh

Bhattacharyya

2008

Int J of Quantum Chemistry

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A time-dependent Fourier grid Hamiltonian method. Formulation and application to the multiphoton dissociation of a diatomic molecule in intense laser field

Cited by 79 publications

References 16 publications

Effects of barrier fluctuation on the tunneling dynamics in the presence of classical chaos in a mixed quantum-classical system

Effects of barrier fluctuation on the tunneling dynamics in the presence of classical chaos in a mixed quantum-classical system

Tunneling through a time-dependent barrier — a numerical study

Dissociation of a diatomic molecule induced by discontinuous reversals of a static electric field

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