On the moment of inertia of a quantum harmonic oscillator

An original method for calculating the moment of inertia of the collective rotation of a nucleus on the basis of the cranking model with the harmonic-oscillator Hamiltonian at arbitrary frequencies of rotation and finite temperature is proposed. In the adiabatic limit, an oscillating chemical-potential dependence of the moment of inertia is obtained by means of analytic calculations. The oscillations of the moment of inertia become more pronounced as deformations approach the spherical limit and decrease exponentially with increasing temperature. © 2013 Pleiades Publishing, Ltd

Inertia moment oscillating component of quantum harmonic oscillator

The original method for the calculation of inertia moment of nucleus at arbitrary frequencies and finite temperatures in framework of cranking model with harmonic oscillator potential is suggested. In the adiabatic case the analytical calculations show oscillations of inertia moment depending on chemical potential. Are oscillations moment of inertia is increase at spherical limit of deformation and exponentially decrease at increase of temperature

Oscillations of the inertia moment of a finite Fermi system in the cranking model framework

In the framework of the cranking model with the potential of an anisotropic harmonic oscillator, we rigorously calculate how the moment of inertia of a finite Fermi system depends on the chemical potential at finite temperatures in the adiabatic limit analytically. We show that this dependence involves smooth and oscillating components. We find analytic expressions for these components at arbitrary temperatures and axial deformation frequencies. We show that oscillations of the moment of inertia increase as the spherical limit is approached and decrease exponentially as the temperature increases. © 2013 Pleiades Publishing, Ltd

Oscillations of the inertia moment of a finite Fermi system in the cranking model framework

In the framework of the cranking model with the potential of an anisotropic harmonic oscillator, we rigorously calculate how the moment of inertia of a finite Fermi system depends on the chemical potential at finite temperatures in the adiabatic limit analytically. We show that this dependence involves smooth and oscillating components. We find analytic expressions for these components at arbitrary temperatures and axial deformation frequencies. We show that oscillations of the moment of inertia increase as the spherical limit is approached and decrease exponentially as the temperature increases. © 2013 Pleiades Publishing, Ltd

On the moment of inertia of a quantum harmonic oscillator

An original method for calculating the moment of inertia of the collective rotation of a nucleus on the basis of the cranking model with the harmonic-oscillator Hamiltonian at arbitrary frequencies of rotation and finite temperature is proposed. In the adiabatic limit, an oscillating chemical-potential dependence of the moment of inertia is obtained by means of analytic calculations. The oscillations of the moment of inertia become more pronounced as deformations approach the spherical limit and decrease exponentially with increasing temperature. © 2013 Pleiades Publishing, Ltd

On the moment of inertia of a quantum harmonic oscillator

An original method for calculating the moment of inertia of the collective rotation of a nucleus on the basis of the cranking model with the harmonic-oscillator Hamiltonian at arbitrary frequencies of rotation and finite temperature is proposed. In the adiabatic limit, an oscillating chemical-potential dependence of the moment of inertia is obtained by means of analytic calculations. The oscillations of the moment of inertia become more pronounced as deformations approach the spherical limit and decrease exponentially with increasing temperature. © 2013 Pleiades Publishing, Ltd

Oscillations of the inertia moment of a finite Fermi system in the cranking model framework

In the framework of the cranking model with the potential of an anisotropic harmonic oscillator, we rigorously calculate how the moment of inertia of a finite Fermi system depends on the chemical potential at finite temperatures in the adiabatic limit analytically. We show that this dependence involves smooth and oscillating components. We find analytic expressions for these components at arbitrary temperatures and axial deformation frequencies. We show that oscillations of the moment of inertia increase as the spherical limit is approached and decrease exponentially as the temperature increases. © 2013 Pleiades Publishing, Ltd

On the moment of inertia of a quantum harmonic oscillator

An original method for calculating the moment of inertia of the collective rotation of a nucleus on the basis of the cranking model with the harmonic-oscillator Hamiltonian at arbitrary frequencies of rotation and finite temperature is proposed. In the adiabatic limit, an oscillating chemical-potential dependence of the moment of inertia is obtained by means of analytic calculations. The oscillations of the moment of inertia become more pronounced as deformations approach the spherical limit and decrease exponentially with increasing temperature. © 2013 Pleiades Publishing, Ltd

Inertia moment oscillating component of quantum harmonic oscillator

The original method for the calculation of inertia moment of nucleus at arbitrary frequencies and finite temperatures in framework of cranking model with harmonic oscillator potential is suggested. In the adiabatic case the analytical calculations show oscillations of inertia moment depending on chemical potential. Are oscillations moment of inertia is increase at spherical limit of deformation and exponentially decrease at increase of temperature

Oscillations of the inertia moment of a finite Fermi system in the cranking model framework

In the framework of the cranking model with the potential of an anisotropic harmonic oscillator, we rigorously calculate how the moment of inertia of a finite Fermi system depends on the chemical potential at finite temperatures in the adiabatic limit analytically. We show that this dependence involves smooth and oscillating components. We find analytic expressions for these components at arbitrary temperatures and axial deformation frequencies. We show that oscillations of the moment of inertia increase as the spherical limit is approached and decrease exponentially as the temperature increases. © 2013 Pleiades Publishing, Ltd