Successive approximation methods in classical statistical mechanics
نویسندگان
چکیده
منابع مشابه
Quantum mechanics as an approximation of classical statistical mechanics
We show that the probabilistic formalism of QM can be obtained as a special projection of classical statistical mechanics for systems with an infinite number of degrees of freedom. Such systems can be interpreted as classical fields. Thus in our approach QM is a projection of (prequantum) classical statistical field theory (PCSFT). This projection is based on the Taylor expansion of classical p...
متن کاملQuantum mechanics as an approximation of statistical mechanics for classical fields
We show that, in spite of a rather common opinion, quantum mechanics can be represented as an approximation of classical statistical mechanics. The approximation under consideration is based on the ordinary Taylor expansion of physical variables. The quantum contribution is given by the term of the second order. To escape technical difficulties related to the infinite dimension of phase space f...
متن کاملSuccessive Approximation Methods in Undiscounted Stochastic Games
T HIS PAPER considers two-person, zero-sum stochastic games with finite state space = {1, -, N} and in each state i E 2, two finite sets K(i) and L(i) of actions available to player 1 and 2, respectively. The state of the system is observed at equidistant epochs. When the system is observed to be in state i, the two players choose an action, or a randomization of actions out of K(i) and L(i), r...
متن کاملErgodic hypothesis in classical statistical mechanics
An updated discussion on physical and mathematical aspects of the ergodic hypothesis in classical equilibrium statistical mechanics is presented. Then a practical attitude for the justification of the microcanonical ensemble is indicated. It is also remarked that the difficulty in proving the ergodic hypothesis should be expected.
متن کاملUniform semiclassical approximation in quantum statistical mechanics∗
We present a simple method to deal with caustics in the semiclassical approximation to the partition function of a one-dimensional quantum system. The procedure, which makes use of complex trajectories, is applied to the quartic double-well potential.
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: Physica
سال: 1960
ISSN: 0031-8914
DOI: 10.1016/0031-8914(60)90197-x