7 citations · 24 across the 15 of their papers we have counts for
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First integrals of some two-dimensional integrable Hamiltonian systems
Aritra Ghosh, Akash Sinha, Bijan Bagchi
In this paper, we discuss some results on integrable Hamiltonian systems with two degrees of freedom. We revisit the much-studied problem of the two-dimensional harmonic oscillator…
Pseudo-Hermitian extensions of the harmonic and isotonic oscillators
Aritra Ghosh, Akash Sinha
In this work, we describe certain pseudo-Hermitian extensions of the harmonic and isotonic oscillators, both of which are exactly-solvable models in quantum mechanics. By coupling…
Toffoli gates solve the tetrahedron equations
Akash Sinha, Pramod Padmanabhan, Vladimir Korepin
The circuit model of quantum computation can be interpreted as a scattering process. In particular, factorised scattering operators result in integrable quantum circuits that provi…
Exceptional points and quantum phase transition in a fermionic extension of the Swanson oscillator
Akash Sinha, Aritra Ghosh, Bijan Bagchi
Motivated by the structure of the Swanson oscillator which is a well-known example of a non-Hermitian quantum system consisting of a general representation of a quadratic Hamiltoni…