scholarly journals Ground state energy shift ofnpions andmkaons in a finite volume

2009 ◽  
Vol 79 (5) ◽  
Author(s):  
Brian Smigielski ◽  
Joseph Wasem
Keyword(s):  
Finite Volume ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Energy Shift

Ground State Energy Shift of He and He[sup +] Close to a Surface: A Confinement Model

2007 ◽  
Author(s):  
Salvador A. Cruz ◽  
Eugenio Ley-Koo ◽  
Remigio Cabrera-Trujillo ◽  
Theodore E. Simos ◽  
George Maroulis
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Energy Shift ◽  
Confinement Model

THERMAL PROPERTIES AND GROUND STATE ENERGY SHIFT OF CHARGED ANYONS

1994 ◽  
Vol 09 (20) ◽  
pp. 3683-3705
Author(s):  
J.Y. KIM ◽  
Y.S. MYUNG ◽  
S.H. YI
Keyword(s):  
Coulomb Interaction ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Correlation Energy ◽  
Virial Coefficients ◽  
Energy Shift ◽  
Second Order ◽  
Quantization Scheme ◽  
Coulomb Interactions

We derive the second and third virial coefficients and the ground state energy shift for charged anyons within the Hartree-Fock approximation. A second quantization scheme at finite temperature is introduced for this calculation up to the second order and the vertex is composed of anyonic, point, constant as well as Coulomb interactions. The thermodynamic potential for the second order correlation diagram of Coulomb interaction leads to the logarithmic divergence (V ln V). Hence, we find the heat capacity and the correlation energy of anyons without Coulomb-Coulomb interaction. Finally, we discuss the magnetic-field-induced localization at low filling ν, including the Wigner crystal phase.

scholarly journals Relativistic N-particle energy shift in finite volume

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Fernando Romero-López ◽  
Akaki Rusetsky ◽  
Nikolas Schlage ◽  
Carsten Urbach
Keyword(s):  
Scattering Amplitudes ◽  
Finite Volume ◽  
Ground State ◽  
State Energy ◽  
Energy Shift ◽  
Particle Energy ◽  
Effective Field ◽  
Relativistic Scattering ◽  
Energy Constants ◽  
General Method

Abstract We present a general method for deriving the energy shift of an interacting system of N spinless particles in a finite volume. To this end, we use the nonrelativistic effective field theory (NREFT), and match the pertinent low-energy constants to the scattering amplitudes. Relativistic corrections are explicitly included up to a given order in the 1/L expansion. We apply this method to obtain the ground state of N particles, and the first excited state of two and three particles to order L−6 in terms of the threshold parameters of the two- and three-particle relativistic scattering amplitudes. We use these expressions to analyze the N-particle ground state energy shift in the complex φ4 theory.

GROUND STATE PERTURBATION OF N-ANYON IN A MAGNETIC FIELD

1993 ◽  
Vol 08 (04) ◽  
pp. 341-348 ◽  
Author(s):  
YUN SOO MYUNG ◽  
J.M. CHOI ◽  
M.J. UM ◽  
C. JUE
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
Ground State Energy ◽  
Ground State ◽  
Uniform Magnetic Field ◽  
State Energy ◽  
Energy Shift ◽  
Landau Levels ◽  
Fractional Statistics ◽  
First Order

We study N-anyon of the α-statistics in a uniform magnetic field, to investigate certain properties of the ground state of a fractional statistics. Using the improved bosonic end-perturbation theory, we obtain the first order perturbative energy shift of the ground state energy. It is realized that there exists a second order perturbative energy with Landau levels.

INFLUENCE OF BOTH ELECTRIC AND MAGNETIC FIELDS ON THE POLARON IN A CYLINDRICAL QUANTUM DOT

2004 ◽  
Vol 18 (20n21) ◽  
pp. 2887-2899 ◽  
Author(s):  
RUI-QIANG WANG ◽  
HONG-JING XIE ◽  
YOU-BIN YU
Keyword(s):  
Magnetic Fields ◽  
Quantum Dot ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Side Surface ◽  
Energy Shift ◽  
Longitudinal Optical ◽  
Electric And Magnetic Fields ◽  
The Magnetic Field

The polaronic correction to the ground-state energy of the electron confined in a cylindrical quantum dot (QD) subject to electric and magnetic fields along the growth axis has been investigated. Using a combinative approach of perturbative theory and variational wavefunction, calculations are performed for an infinitely deep confinement potential outside the QD within the effective mass and adiabatic approximation. We have treated the system by taking into consideration the interaction of the electron with the confined longitudinal optical (LO) phonons as well as the side surface (SSO) and the top surface (TSO) optical phonons.1,2 The ground-state energy shift is obtained as a function of the cylindrical radius and the strength of electric and magnetic fields. The results show that the magnetic field heavily enhances the three types of phonon mode contribution to the correction of the electron ground-state energy while the electric field only improves the contribution of surface phonons (SSO and TSO) but decreases the contribution of LO phonons.

Atomic ground state energy in multiply connected universes

1980 ◽  
Vol 372 (1749) ◽  
pp. 297-306 ◽  
Keyword(s):  
Hydrogen Atom ◽  
Minkowski Space ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Energy Shift ◽  
Vacuum Fluctuations ◽  
Static Polarizability ◽  
Multiply Connected ◽  
Atomic Ground State

We consider a hydrogen atom interacting with electromagnetic vacuum fluctuations in a variety of multiply connected universes, and calculate, to order e 2 , the shift in energy of its ground state from the value it would take in Minkowski space. The classical dipole self-interaction is also included and, for investigation, we choose universes with underlying manifolds R 1 ⊗ T 3 , R 1 ⊗ B 1 and R 1 ⊗ G 2 upon each of which we impose a flat metric. In all cases, we find the energy shift to be proportional to the atom’s static polarizability.

Face-dependent Auger neutralization and ground-state energy shift for He in front of Al surfaces

2008 ◽  
Vol 78 (7) ◽  
Author(s):  
S. Wethekam ◽  
Diego Valdés ◽  
R. C. Monreal ◽  
H. Winter
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Energy Shift
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