A Note/Reply on the Comment on 'PDM Creation and Annihilation Operators of the Harmonic Oscillators and the Emergence of an Alternative PDM-Hamiltonians' by B.Rath [Phys. Lett. A 393 (2021) 127174]

Dynamical systems with special properties are continually being proposed and studied. Many of these systems are variants of the simple harmonic oscillator with nonlinear damping. This paper characterizes these systems as a hierarchy of increasingly complicated equations with correspondingly interesting behavior, including coexisting attractors, chaos in the absence of equilibria, and strange attractor/repellor pairs.

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ON THE OPTICAL POTENTIAL OF AN ATTRACTIVE NONRELATIVISTIC DEGENERATE ELECTRON GAS INTERACTING WITH NUCLEAR MATTER

Modern Physics Letters B ◽

10.1142/s0217984912502107 ◽

2012 ◽

Vol 26 (31) ◽

pp. 1250210 ◽

Cited By ~ 2

Author(s):

M. A. GRADO-CAFFARO ◽

M. GRADO-CAFFARO

Keyword(s):

Nuclear Matter ◽

Optical Potential ◽

Electron Gas ◽

Three Dimensional ◽

Harmonic Oscillators ◽

Fermi Velocity ◽

Potential Well ◽

Schwinger Model ◽

Degenerate Fermi Gas ◽

Degenerate Electron Gas

The optical potential of an attractive nonrelativistic electron gas interacting with nuclear matter is determined on the basis of the concept of degenerate Fermi gas. In fact, the involved electrons are treated as three-dimensional quantum harmonic oscillators confined at the surface of a spherical (approximately ideal) potential well. Within this picture, the Fermi velocity is calculated as well as the spatial electron density at the surface of the potential well and the attractive force between the electron gas and the nuclear matter. In addition, considerations related to the Lippmann–Schwinger model are made.

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OPTIMAL DATABASE SEARCH: WAVES AND CATALYSIS

International Journal of Quantum Information ◽

10.1142/s0219749906002225 ◽

2006 ◽

Vol 04 (05) ◽

pp. 815-825 ◽

Cited By ~ 9

Author(s):

APOORVA PATEL

Keyword(s):

Quantum Computation ◽

Search Algorithm ◽

Database Search ◽

Harmonic Oscillators ◽

Physical Realization ◽

Classical Wave ◽

Superposition Of States

Grover's database search algorithm, although discovered in the context of quantum computation, can be implemented using any system that allows superposition of states. A physical realization of this algorithm is described using coupled simple harmonic oscillators, which can be exactly solved in both classical and quantum domains. Classical wave algorithms are far more stable against decoherence compared to their quantum counterparts. In addition to providing convenient demonstration models, they may have a role in practical situations, such as catalysis.

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