Determining the chemical potential of confined quantum systems of bosonic and fermionic type

2004 ◽  
Author(s):  
Nicholas Ionescu-Pallas ◽  
Ovidiu Racoveanu ◽  
Valentin I. Vlad
Keyword(s):  
Chemical Potential ◽  
Quantum Systems ◽  
Confined Quantum Systems

Confined quantum systems and their limits

2009 ◽  
Vol 50 (2) ◽  
pp. 022101 ◽  
Author(s):  
Francesco Belgiorno ◽  
Franco Gallone
Keyword(s):  
Quantum Systems ◽  
Confined Quantum Systems

WKB quantization rules for three-dimensional confinement

2001 ◽  
Vol 79 (6) ◽  
pp. 939-946 ◽  
Author(s):  
A Sinha ◽  
R Roychoudhury ◽  
Y P Varshni
Keyword(s):  
Hydrogen Atom ◽  
Harmonic Oscillator ◽  
Reasonable Agreement ◽  
Three Dimensional ◽  
Quantum Systems ◽  
The Past ◽  
Two Systems ◽  
Mathematical Techniques ◽  
Confined Quantum Systems ◽  
Quantization Rules

Confined quantum systems have been studied by various authors over the past decades, by using various mathematical techniques. In this work, we derive the WKB quantization rules for quantum systems confined in an impenetrable spherical box of radius r0. We apply the proposed method to two systems explicitly, viz., the confined harmonic oscillator and the confined hydrogen atom. The results are found to be in reasonable agreement with those obtained by other methods. PACS No.: 03.65

QUASI-MODULAR SYMMETRY AND QUASI-HYPERGEOMETRIC FUNCTIONS IN QUANTUM STATISTICAL MECHANICS OF FRACTIONAL EXCLUSION STATISTICS

1999 ◽  
Vol 13 (29n30) ◽  
pp. 1039-1046 ◽  
Author(s):  
KAZUMOTO IGUCHI ◽  
KAZUHIKO AOMOTO
Keyword(s):  
Statistical Mechanics ◽  
Modular Group ◽  
Hypergeometric Functions ◽  
Chemical Potential ◽  
Quantum Statistical Mechanics ◽  
Quantum Systems ◽  
Quantum Statistical ◽  
Physical Quantities

We investigate a novel symmetry in dualities of Wu's equation: wg(1+w)1-g=eβ(ε-μ) for a degenerate g-on gas with fractional exclusion statistics of g, where β=1/k B T, ∊ the energy, and μ the chemical potential of the system. We find that the particle–hole duality between g and 1/g and the supersymmetric duality between g and 1-g form a novel quasi-modular group of order six for Wu's equation. And we show that many physical quantities in quantum systems with the fractional exclusion statistics can be represented in terms of quasi-hypergeometric functions and that the quasi-modular symmetry acts on these functions.

scholarly journals Embedding method for confined quantum systems

1995 ◽  
Vol 51 (11) ◽  
pp. 7318-7320 ◽  
Author(s):  
S. Crampin ◽  
M. Nekovee ◽  
J. E. Inglesfield
Keyword(s):  
Quantum Systems ◽  
Embedding Method ◽  
Confined Quantum Systems
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