9,748 research outputs found
Quantum Brownian motion model for the stock market
It is believed by the majority today that the efficient market hypothesis is
imperfect because of market irrationality. Using the physical concepts and
mathematical structures of quantum mechanics, we construct an econophysics
framework for the stock market, based on which we analogously map massive
numbers of single stocks into a reservoir consisting of many quantum harmonic
oscillators and their stock index into a typical quantum open system--a quantum
Brownian particle. In particular, the irrationality of stock transactions is
quantitatively considered as the Planck constant within Heisenberg's
uncertainty relationship of quantum mechanics in an analogous manner. We
analyze real stock data of Shanghai Stock Exchange of China and investigate
fat-tail phenomena and non-Markovian behaviors of the stock index with the
assistance of the quantum Brownian motion model, thereby interpreting and
studying the limitations of the classical Brownian motion model for the
efficient market hypothesis from a new perspective of quantum open system
dynamics
Fragmentation functions of polarized heavy quarkonium
Study of the polarized heavy quarkonium production in recently proposed QCD
factorization formalism requires knowledge of a large number of input
fragmentation functions (FFs) from a single parton or a heavy quark-antiquark
pair to a polarized heavy quarkonium. In this paper, we calculate these FFs at
the input scale in terms of nonrelativistic QCD (NRQCD) factorization. We
derive all relevant polarized NRQCD long-distance matrix elements based
symmetries and propose a self-consistent scheme to define them in arbitrary
dimensions. We then calculate polarized input FFs contributed from all -wave
and -wave NRQCD intermediate states. With our calculation of the polarized
input FFs, and the partonic hard part available in literatures, the QCD
factorization formalism is ready to be applied to polarized heavy quarkonium
production.Comment: 30 pages, 1 figur
Quantum spatial-periodic harmonic model for daily price-limited stock markets
We investigate the behavior of stocks in daily price-limited stock markets by
purposing a quantum spatial-periodic harmonic model. The stock price is
presumed to oscillate and damp in a quantum spatial-periodic harmonic
oscillator potential well. Complicated non-linear relations including
inter-band positive correlation and intra-band negative correlation between the
volatility and the trading volume of stocks are derived by considering the
energy band structure of the model. The validity of price limitation is then
examined and abnormal phenomena of a price-limited stock market (Shanghai Stock
Exchange) of China are studied by applying our quantum model.Comment: 8 pages, 9 figure
- …