594 citations · 3.1k across the 88 of their papers we have counts for
6 papers · 1 filter
Splitting of degenerate states in one-dimensional quantum mechanics
Avik Dutt, Trisha Nath, Sayan Kar +1
A classic no-go theorem in one-dimensional quantum mechanics can be evaded when the potentials are unbounded below, thus allowing for novel parity-paired degenerate energy bound st…
Smooth double barriers in quantum mechanics
Avik Dutt, Sayan Kar
Quantum mechanical tunneling across smooth double barrier potentials modeled using Gaussian functions, is analyzed numerically and by using the WKB approximation. The transmission…
Can degenerate bound states occur in one dimensional quantum mechanics?
Sayan Kar, Rajesh R. Parwani
We point out that bound states, degenerate in energy but differing in parity, may form in one dimensional quantum systems even if the potential is non-singular in any finite domain…
Exact bound states in volcano potentials
Ratna Koley, Sayan Kar
Quantum mechanics in a one--parameter family of volcano potentials is investigated. After a discussion on their construction and classical mechanics, we obtain exact, normalisable…
Path integrals and wavepacket evolution for damped mechanical systems
Dharmesh Jain, A. Das, Sayan Kar
Damped mechanical systems with various forms of damping are quantized using the path integral formalism. In particular, we obtain the path integral kernel for the linearly damped h…
Classical and quantum mechanics of a particle on a rotating loop
Sayan Kar, Avinash Khare
The toy model of a particle on a vertical rotating circle in the presence of uniform gravitational/ magnetic fields is explored in detail. After an analysis of the classical mechan…