منابع مشابه
Quantum Chaos at Finite Temperature - a New Approach via the Quantum Action
We address the problem of quantum chaos: Is there a rigorous, physically meaningful definition of chaos in quantum physics? Can the tools of classical chaos theory, like Lyapunov exponents, Poincaré sections etc. be carried over to quantum systems? Can quantitative predictions be made? We show that the recently proposed quantum action is well suited to answer those questions. As an example we s...
متن کاملQuantum Chemistry at Finite Temperature
In this article, we present emerging fields of quantum chemistry at finite temperature. We discuss its recent developments on both experimental and theoretical fronts. First, we describe several experimental investigations related to the temperature effects on the structures, electronic spectra, or bond rupture forces for molecules. These include the analysis of the temperature impact on the pa...
متن کاملFinite Quantum Chaos
Quantum chaos is in part the study of the statistics of energy levels of a quantum system; i.e., the eigenvalues of the Schrödinger operator. Thus physicists began to investigate the spectra of random large matrices. Similarly number theorists and geometers have investigated the statistics of spectra of Laplacians on Riemannian manifolds which is equivalent to studying the statistics of the zer...
متن کاملCritical statistics in quantum chaos and Calogero-Sutherland model at finite temperature.
We investigate the spectral properties of a generalized Gaussian orthogonal ensemble capable of describing critical statistics. The joint distribution of eigenvalues of this model is expressed as the diagonal element of the density matrix of a gas of particles governed by the Calogero-Sutherland (CS) Hamiltonian. Taking advantage of the correspondence between CS particles and eigenvalues, and u...
متن کاملQuantum Spin Systems at Finite Temperature
We develop a novel approach to phase transitions in quantum spin models based on a relation to the corresponding classical spin systems. Explicitly, we show that whenever chessboard estimates can be used to prove a phase transition in the classical model, the corresponding quantum model will have a similar phase transition, provided the inverse temperature β and the magnitude of the quantum spi...
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: Physics Letters A
سال: 2001
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(01)00555-2