scholarly journals Equivalence of the Grand Canonical Partition Functions of Particles with Different Statistics

1997 ◽  
Vol 12 (15) ◽  
pp. 1095-1099 ◽  
Author(s):  
S. Chaturvedi ◽  
P. K. Panigrahi ◽  
V. Srinivasan ◽  
R. MacKenzie
Keyword(s):  
Partition Function ◽  
Single Particle ◽  
Particle Energy ◽  
Partition Functions ◽  
Bose System ◽  
Particle Spectrum ◽  
Single Particle Energy ◽  
Grand Partition Function ◽  
System Of Particles ◽  
Grand Canonical

It is shown that the grand partition function of an ideal Bose system with single particle spectrum εi=(2n+k+3/2)ℏω is identical to that of a system of particles with single particle energy εi=(n+1/2)ℏω and obeying a particular kind of statistics based on the permutation group.

On the single-particle-energy spectrum of a Λ particle in nuclear matter

1970 ◽  
Vol 48 (23) ◽  
pp. 2804-2808 ◽  
Author(s):  
K. F. Chong ◽  
Y. Nogami ◽  
E. Satoh
Keyword(s):  
Energy Spectrum ◽  
Nuclear Matter ◽  
Single Particle ◽  
Short Range ◽  
Particle Energy ◽  
Pair Approximation ◽  
Single Particle Energy ◽  
Short Range Repulsion ◽  
Separable Potentials ◽  
Independent Pair

The single-particle-energy spectrum of a Λ particle in nuclear matter is examined in the independent-pair approximation, by assuming nonlocal separable potentials for the ΛN interaction. Effects of short-range repulsion in the ΛN interaction on the Λ binding are also examined in terms of separable potentials of rank two.

Shell-Tunneling Spectroscopy of the Single-Particle Energy Levels of Insulating Quantum Dots

Nano Letters ◽  
2001 ◽  
Vol 1 (10) ◽  
pp. 551-556 ◽  
Author(s):  
E. P. A. M. Bakkers ◽  
Z. Hens ◽  
A. Zunger ◽  
A. Franceschetti ◽  
L. P. Kouwenhoven ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Single Particle ◽  
Energy Levels ◽  
Tunneling Spectroscopy ◽  
Particle Energy ◽  
Single Particle Energy

NOTE ON THE SINGLE-PARTICLE ENERGY AND THE BINDING ENERGY OF MANY-BODY, SATURATED SYSTEMS

1958 ◽  
Vol 36 (10) ◽  
pp. 1261-1264
Author(s):  
George A. Baker Jr.
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Particle Energy ◽  
The Self ◽  
Exclusion Principle ◽  
Single Particle Energy ◽  
Many Body ◽  
Self Consistent ◽  
Particle Potential ◽  
Single Particle Potential

Brueckner has recently pointed out that, for saturation, (Eav−E(pF)) does not vanish in general because of "important many-body contributions to the single particle energy which arise from the effects of the exclusion principle and from the variation of the self-consistent excitation spectrum with density." It is the purpose of this note to evaluate this difference in terms of the properties of the single-particle potential.

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