Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-10-06
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
We analyse the thermodynamic quantities of some simple oscillator systems like bosonic harmonic oscillator, fermionic harmonic oscillator and a supersymmetric harmonic oscillator (which is a combination of a bosonic and a fermionic oscillators), and discuss in detail about the nature of the specific heat, internal energy and entropy of these systems both at low and high temperatures. Also we have studied the behavior of the thermodynamic properties of the well known Landau-Fock-Darwin (LFD) problem viz., an electron in the combined presence of a uniform magnetic field acting perpendicular to the plane of motion of the electron and an isotropic and cylindrically symmetric parabolic potential well in the directions normal to the field with a natural confinement frequency $\omega_0$. We have succinctly derived the respective thermodynamic quantities of LFD model with and without the intrinsic spin angular momentum of the electron. For the sake of simplicity and convenience we have taken the simple case of an electron carrying spin 1/2.
Kamil Ebad
Kumar Jishad
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