Ground-State Energy of a Many-Boson System: Density and Phase Operator Approach
نویسندگان
چکیده
منابع مشابه
Bounding the ground-state energy of a many-body system with the differential method
This paper promotes the differential method as a new fruitful strategy for estimating a ground-state energy of a many-body system. The case of an arbitrary number of attractive Coulombian particles is specifically studied and we make some favorable comparison of the differential method to the existing approaches that rely on variational principles. A bird’s-eye view of the treatment of more gen...
متن کاملA Probabilistic Representation of the Ground State Expectation of Fractional Powers of the Boson Number Operator
We give a formula in terms of a joint Gibbs measure on Brownian paths and the measure of a random-time Poisson process of the ground state expectations of fractional (in fact, any real) powers of the boson number operator in the Nelson model. We use this representation to obtain tight two-sided bounds. As applications, we discuss the polaron and translation invariant Nelson models.
متن کاملModeling of a Rectifier Connected PMSG Applied in Wind Energy Conversion System Using State Machine Approach
Accurate modeling of the wind energy conversion system is necessary to design and implementation of the control loop for the generator and the frequency converter, in order to extract maximum power from the wind and to investigate the effects of interconnection between wind farms and power system. In this paper the combination of a permanent magnet synchronous generator loaded with a diode rect...
متن کاملModeling of a Rectifier Connected PMSG Applied in Wind Energy Conversion System Using State Machine Approach
Accurate modeling of the wind energy conversion system is necessary to design and implementation of the control loop for the generator and the frequency converter, in order to extract maximum power from the wind and to investigate the effects of interconnection between wind farms and power system. In this paper the combination of a permanent magnet synchronous generator loaded with a diode rect...
متن کاملExact expression of the ground state energy of quantum many - particle systems as a functional of the particle density
By introducing a phase field and solving the eigen-functional equation of particles, we obtain the exact expressions of the ground state energy as a functional of the particle density for interacting electron/boson systems, and a two-dimensional electron gas under an external magnetic field, respectively. With the eigen-functionals of the particles, we can construct the ground state wave-functi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1975
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.54.384