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Search Results: 1 - 10 of 397 matches for " Taksu Cheon "
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A nonlinear neural population coding theory of quantum cognition and decision making  [PDF]
Taiki Takahashi, Taksu Cheon
World Journal of Neuroscience (WJNS) , 2012, DOI: 10.4236/wjns.2012.24028
Abstract: Mathematical frameworks of quantum theory have recently been adopted in cognitive and behavioral sciences, to explain the violations of normative decision theory and anomalies in cognition. However, to date, no study has attempted to explore neural implementations of such “quantum-like” information processing in the brain. This study demonstrates that neural population coding of information with nonlinear neural response functions can account for such “quantum” information processing in decision-making and cognition. It is also shown that quantum decision theory is a special case of more general population vector cording theory. Future applications of the present theory in the rapidly evolving field of “psychophysical neuroeconomics” are also discussed.
Green Function Monte Carlo Method for Excited States of Quantum System
Taksu Cheon
Physics , 1996, DOI: 10.1143/PTP.96.971
Abstract: A novel scheme to solve the quantum eigenvalue problem through the imaginary-time Green function Monte Carlo method is presented. This method is applicable to the excited states as well as to the ground state of a generic system. We demonstrate the validity of the method with the numerical examples on three simple systems including a discretized sine-Gordon model.
Classical and Quantal Irregular Scatterings with Complex Target
Taksu Cheon
Physics , 1995,
Abstract: One-dimensional scattering by a target with two internal degrees of freedom is investigated. The damping of resonance peaks and the associated appearance of the fluctuating background in the quantum inelastic scattering amplitudes are found. Examination of the analog classical system reveals a disorderly reaction function, which is then related to the quantum amplitude through a semiclassical argument.
Comment on ``Quasienergy anholonomy and its application to adiabatic quantum state manipulation''
Taksu Cheon
Physics , 2007,
Abstract: In their Letter [A. Tanaka and M. Miyamoto, Phys. Rev. Lett. 98, 160407 (2007)], Tanaka and Miyamoto introduce a kicked spin model, for which they point out the generic existence of exotic eigenvalue anholonomy. They proceed to show the potential utility of the model for quantum state manipulation and quantum information processing. While we believe their model to be vary useful and their argument to be revealing, In our view, there are three missing elements in the article, without which their discussion seems to be incomplete and the prospect of the application limited. They are on dynamical phase, gauge potential, and on adiabaticity.
Short-range interaction in three-dimensional quantum mechanics
Taksu Cheon
Physics , 2010, DOI: 10.1016/j.physleta.2010.09.040
Abstract: We show that it is possible to define shape-independent three-dimensional short-range quantum interactions in two parameter form for non-spherical angular momentum channels through double rescaling of potential strength. Unlike the special case of $l=0$, where the zero range limit of the system is renormalizable, the effective ranges diverge for $l /ne 0$ channels, and the system becomes trivial at zero-size limit. It is also shown that the two-parameter representation with finite interaction range is useful in analyzing phase shifts with accuracy and describing resonances in non-spherical scatterings.
Quantum contact interactions
Taksu Cheon
Physics , 2002, DOI: 10.1007/s12043-002-0122-4
Abstract: The existence of several exotic phenomena, such as duality and spectral anholonomy is pointed out in one-dimensional quantum wire with a single defect. The topological structure in the spectral space which is behind these phenomena is identified.
Evolutionary Stability of Ecological Hierarchy
Taksu Cheon
Physics , 2003, DOI: 10.1103/PhysRevLett.90.258105
Abstract: A self-similar hierarchical solution that is both dynamically and evolutionarily stable is found to the multi dimensional Lotka-Volterra equation with a single chain of prey-predator relations. This gives a simple and natural explanation to the key features of hierarchical ecosystems, such as its ubiquity, pyramidal population distribution, and higher aggressiveness among higher trophic levels. pacs{87.23.Kg, 89.75.Da, 05.45.-a} keywords{Lotka-Volterra equation, Trophic pyramid, Self-similarity}
Double Spiral Energy Surface in One-dimensional Quantum Mechanics of Generalized Pointlike Potentials
Taksu Cheon
Physics , 1998, DOI: 10.1016/S0375-9601(98)00725-7
Abstract: We analyze the eigenvalue problem of a quantum particle on the line with the generalized pointlike potential of three parameter family. It is shown that the energy surface in the parameter space has a set of singularities, around which different eigenstates are connected in the form of paired spiral stairway. An examplar wave-function aholonomy is displayed where the ground state is adiabatically turned into the second excited state after cyclic rotation in the parameter space. KEYWORDS: one-dimensional system, $\delta'$ potential, non-trivial topology in quantum mechanics, exotic wave-function aholonomy
Locational Qubit Realization with One-dimensional Contact Interactions
Taksu Cheon
Physics , 2004,
Abstract: We show that the U(2) group structure of thin barriers can be adopted for quantum information processing when used in combination with environmental potential whose bouncing modes are profile preserving. Qubits are realized as wave functions localized in either side of the barrier which divides the one-dimensional system into two regions. It is argued that this model is a theoretical prototype of a robust and scalable quantum computing device. Keywords: Quantum Computation, Quantum Wire, Quantum Contact Interaction
Altruistic Contents of Quantum Prisoner's Dilemma
Taksu Cheon
Physics , 2004, DOI: 10.1209/epl/i2004-10343-x
Abstract: We examine the classical contents of quantum games. It is shown that a quantum strategy can be interpreted as a classical strategies with effective density-dependent game matrices composed of transposed matrix elements. In particular, successful quantum strategies in dilemma games are interpreted in terms of a symmetrized game matrix that corresponds to an altruistic game plan.
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