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20042020
most citedCurve Crossing Problems: Analytically solvable model

14 citations · 100 across the 41 of their papers we have counts for

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13 papers · 1 filter

quant-ph2020

Transition time estimation for -function coupling in two state problem: An analytically solvable model

Mayank Vashistha, Chinmoy Samanta, Aniruddha Chakraborty

We propose a simple method to calculate transition time in a two-state scattering problem, where two constant potentials are coupled by a delta function potential $V_{12}=V_{21}=k_…

quant-ph2020

Understanding correlation between two bound state electrons using a simple model

Shivani Verma, Aniruddha Chakraborty

Understanding electron correlation requires solving inseparable Schrodinger equation. In general, inseparable Schrödinger equations cannot be solved analytically. So their solution…

quant-ph2018

Exact dynamics of a Gaussian wave-packet in two potential curves coupled at a point

Saravanan Rajendran, Aniruddha Chakraborty

We present a method to calculate exact dynamics of a wave-packet in a quantum two-state problem with Dirac delta coupling. The advantage of our method is that the calculations are…

quant-ph2018

An exact analytical scheme using a new potential to solve one-dimensional quantum systems

Saravanan Rajendran, Deepak Kumar, Aniruddha Chakraborty

We propose an exact method for solving a one-dimensional Schrödinger equation. An arbitrary potential is represented by the collection of short-width potentials. For building the c…

quant-ph2014

Exact results on diffusion in a piecewise linear potential with a time dependent sink

Diwaker, Anirudhha Chakraborty

The Smoluchowski equation with a time dependent sink term is solved exactly. In this method by knowing the probability distribution at the origin P(0,s), one may derive the probabi…

quant-ph2013★ 1 cited

Multi-channel scattering problems: Analytical approach for exact solution using Green's functions

Diwaker, Aniruddha Chakraborty

We have proposed an analytical approach for exact solution of multi-channel scattering problems, in presence of Dirac Delta function couplings. Our solution is quite general and is…