Ground-state energy of singular potentials
نویسندگان
چکیده
منابع مشابه
Estimating the ground state energy of the Schrödinger equation for convex potentials
In 2011, the fundamental gap conjecture for Schrödinger operators was proven. This can be used to estimate the ground state energy of the time-independent Schrödinger equation with a convex potential and relative error ε. Classical deterministic algorithms solving this problem have cost exponential in the number of its degrees of freedom d. We show a quantum algorithm, that is based on a pertur...
متن کاملThe Ground State Energy of Dilute Bose Gas in Potentials with Positive Scattering Length
The leading term of the ground state energy/particle of a dilute gas of bosons with mass m in the thermodynamic limit is 2π~a̺/m when the density of the gas is ̺, the interaction potential is non-negative and the scattering length a is positive. In this paper, we generalize the upper bound part of this result to any interaction potential with positive scattering length, i.e, a > 0 and the lower b...
متن کاملThe Ground State Energy of Schrόdinger Operators
We study e(λ) = inf spec ( — A + λV) and examine when e(λ) < 0 for all λ + 0. We prove that cλ ^ e(λ) ^ dλ for suitable V and all small \λ\.
متن کاملGround State Energy of Fractionally Charged Quasiparticles
Considering two dimensional (2-D) electron gas as one component plasma (OCP), for the state at the Landau level filling factor 1/3, Laughlin has found a many body wave function with a lower energy than the single particle energy. We plot the ground state energy of this wave function versus different m (angular momentum) by using the modified hypernetted chain technique. Comparing the plot with ...
متن کاملBounding ground state energy of Hopfield models
In this paper we look at a class of random optimization problems that arise in the forms typically known as Hopfield models. We view two scenarios which we term as the positive Hopfield form and the negative Hopfield form. For both of these scenarios we define the binary optimization problems that essentially emulate what would typically be known as the ground state energy of these models. We t...
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: Physical Review A
سال: 1994
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.49.1477