4 papers · 1 filter
Interpolating statistics realized as Deformed Harmonic Oscillators
P. Narayana Swamy
The idea that a system obeying interpolating statistics can be described by a deformed oscillator algebra has been an outstanding issue. This original concept introduced long ago b…
Deformed Heisenberg algebra: origin of q-calculus
P. Narayana Swamy
The intimate connection between q-deformed Heisenberg uncertainty relation and the Jackson derivative based on q-basic numbers has been noted in the literature. The purpose of this…
q-Deformed Boson Oscillators and Zero Point Energy
P. Narayana Swamy
Just as for the ordinary quantum harmonic oscillators, we expect the zero-point energy to play a crucial role in the correct high temperature behavior. We accordingly reformulate t…
q-deformed fermion oscillators, zero-point energy and inclusion-exclusion principle
P. Narayana Swamy
The theory of Fermion oscillators has two essential ingredients: zero-point energy and Pauli exclusion principle. We devlop the theory of the statistical mechanics of generalized q…