scholarly journals Erratum: “Path-integral diffusion Monte Carlo: Calculation of observables of many-body systems in the ground state” [J. Chem. Phys. 110, 6143 (1999)]

1999 ◽  
Vol 111 (4) ◽  
pp. 1789-1789
Author(s):  
Balázs Hetényi ◽  
Eran Rabani ◽  
B. J. Berne
Keyword(s):  
Monte Carlo ◽  
Path Integral ◽  
Ground State ◽  
Monte Carlo Calculation ◽  
Chem Phys ◽  
Many Body ◽  
Diffusion Monte Carlo ◽  
Many Body Systems

scholarly journals Ground state of a homogeneous Bose gas: A diffusion Monte Carlo calculation

1999 ◽  
Vol 60 (6) ◽  
pp. 5129-5132 ◽  
Author(s):  
S. Giorgini ◽  
J. Boronat ◽  
J. Casulleras
Keyword(s):  
Monte Carlo ◽  
Ground State ◽  
Monte Carlo Calculation ◽  
Bose Gas ◽  
Diffusion Monte Carlo

QUASICLASSICAL FOURIER PATH INTEGRAL QUANTUM CORRECTION TERMS TO THE KINETIC ENERGY OF INTERACTING QUANTUM MANY-BODY SYSTEMS

2009 ◽  
Vol 23 (20n21) ◽  
pp. 3979-3991
Author(s):  
K. A. GERNOTH
Keyword(s):  
Monte Carlo ◽  
Kinetic Energy ◽  
Path Integral ◽  
Quantum Correction ◽  
Many Body ◽  
Quantum Distribution ◽  
Many Body Systems ◽  
The Many ◽  
Correction Terms ◽  
Integral Quantum

A quasiclassical expression for the kinetic energy of interacting quantum many-body systems is derived from the full quantum expression for the kinetic energy as derived by means of the Fourier path integral representation of the canonical many-body density matrix of such systems. This quasiclassical form of the kinetic energy may be cast in the shape of thermodynamic expectation values w.r.t. to the classical Boltzmann distribution of the many-body system, which involves only the many-body interaction in contrast to the full Fourier path integral quantum distribution, which carries contributions also from the many-body kinetic energy operator. The quasiclassical quantum correction terms to the classical Boltzmann equipartition value are valid when the product of temperature and particle mass is large and then lead to significant technical simplifications and increase of speed of Monte Carlo computations of the quantum kinetic energy. The formal findings are tested numerically in quantum Fourier path integral versus classical Monte Carlo simulations.

scholarly journals Path integral Monte Carlo for dissipative many-body systems

2003 ◽  
Vol 237 (1) ◽  
pp. 23-38 ◽  
Author(s):  
Luca Capriotti ◽  
Alessandro Cuccoli ◽  
Andrea Fubini ◽  
Valerio Tognetti ◽  
Ruggero Vaia
Keyword(s):  
Monte Carlo ◽  
Path Integral ◽  
Many Body ◽  
Path Integral Monte Carlo ◽  
Many Body Systems

REGULAR STRUCTURE OF LOW-LYING STATES FOR ATOMIC NUCLEI UNDER RANDOM INTERACTIONS

2008 ◽  
Vol 17 (supp01) ◽  
pp. 304-317
Author(s):  
Y. M. ZHAO
Keyword(s):  
Ground State ◽  
Collective Motion ◽  
Regular Structure ◽  
Positive Parity ◽  
Many Body ◽  
Random Interactions ◽  
Atomic Nuclei ◽  
Many Body Systems

In this paper we review regularities of low-lying states for many-body systems, in particular, atomic nuclei, under random interactions. We shall discuss the famous problem of spin zero ground state dominance, positive parity dominance, collective motion, odd-even staggering, average energies, etc., in the presence of random interactions.

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