Adaptive Wave Models for Sophisticated Option Pricing
... effect on can be neglected, so our option-pricing Model (15)-(16) can be reduced to the Manakov 2-soliton Model (17), as depicted and explained in Figure 4. ...
... effect on can be neglected, so our option-pricing Model (15)-(16) can be reduced to the Manakov 2-soliton Model (17), as depicted and explained in Figure 4. ...
How to solve Fokker-Planck equation treating mixed eigenvalue
... M. Brics1 , J. Kaupužs2 , R. Mahnke1 1 Institute of Physics, Rostock University, D–18051 Rostock, Germany 2 Institute of Mathematics and Computer Science, University of Latvia, LV–1459 Riga, Latvia ...
... M. Brics1 , J. Kaupužs2 , R. Mahnke1 1 Institute of Physics, Rostock University, D–18051 Rostock, Germany 2 Institute of Mathematics and Computer Science, University of Latvia, LV–1459 Riga, Latvia ...
Representation of Quantum Field Theory by Elementary Quantum
... human knowledge [1],[2],[3],[4],[5],[6],[7],[8]. This means nothing else but that within this program physical objects and their properties shall be inferred from abstract quantum information interpreted as fundamental entity of nature, which can be resolved into binary alternatives called ur-altern ...
... human knowledge [1],[2],[3],[4],[5],[6],[7],[8]. This means nothing else but that within this program physical objects and their properties shall be inferred from abstract quantum information interpreted as fundamental entity of nature, which can be resolved into binary alternatives called ur-altern ...
Read PDF - Physics (APS)
... for all k 5. Moreover, the spectrum for not too large is very close to the one of a single Slater determinant. For instance, i , i ¼ 1, 2, 3 deviate from 1 and j , j 4 from 0 only by at most 1 percent if jj 0:5. This emphasizes the relevance of the Pauli constraints (1). Quasipinning by ...
... for all k 5. Moreover, the spectrum for not too large is very close to the one of a single Slater determinant. For instance, i , i ¼ 1, 2, 3 deviate from 1 and j , j 4 from 0 only by at most 1 percent if jj 0:5. This emphasizes the relevance of the Pauli constraints (1). Quasipinning by ...
Chapter Q1 • Introduction to Quantum Mechanics
... If we consider a string of length L fixed at both ends (x=0, x=L): sin(k0)= 0 sin(kL)= 0 kL=nπ n=1,2,3,… So only certain wave numbers (freq.) will allow the existence of a standing wave. k=n(π/L) or L=n(λ/2) n=1,2,3,… This implies we must fit an exact number of half wavelengths between the fixed e ...
... If we consider a string of length L fixed at both ends (x=0, x=L): sin(k0)= 0 sin(kL)= 0 kL=nπ n=1,2,3,… So only certain wave numbers (freq.) will allow the existence of a standing wave. k=n(π/L) or L=n(λ/2) n=1,2,3,… This implies we must fit an exact number of half wavelengths between the fixed e ...
Exact solutions and the adiabatic heuristic for quantum Hall states
... Many of our results are aptly summarized in fig. 1. The adiabatic heuristic, which is exactly and explicitly implemented for the ground states of the models discussed in this paper, trades uniform flux for particle statistics. It therefore relates states along parallel lines of constant slope in the ...
... Many of our results are aptly summarized in fig. 1. The adiabatic heuristic, which is exactly and explicitly implemented for the ground states of the models discussed in this paper, trades uniform flux for particle statistics. It therefore relates states along parallel lines of constant slope in the ...
Theory of fluctuations in a network of parallel superconducting wires
... However, in the mapping, the effect of a magnetic field was not included. In the present paper, we consider the case of a non-zero magnetic field perpendicular to the wires. We show that the partition function for this system maps onto a certain zero-temperature quantum mechanics problem in two dimens ...
... However, in the mapping, the effect of a magnetic field was not included. In the present paper, we consider the case of a non-zero magnetic field perpendicular to the wires. We show that the partition function for this system maps onto a certain zero-temperature quantum mechanics problem in two dimens ...
a derivation of the mean absolute distance in one
... in equations (16) and (18), we are ready to write the expressions for the calculation of the main statistical indicators of the random walk. In general, for any value ...
... in equations (16) and (18), we are ready to write the expressions for the calculation of the main statistical indicators of the random walk. In general, for any value ...
1 Introduction : Phase transitions in 2D electron systems 2
... even in features that are supposed to be universal such as the critical exponents, there is still much disagreement. More generally, it is still not clear which of the characteristics of the SIT are intrinsic and which are sample- or measurement-dependent. Still , there are some relevant experimenta ...
... even in features that are supposed to be universal such as the critical exponents, there is still much disagreement. More generally, it is still not clear which of the characteristics of the SIT are intrinsic and which are sample- or measurement-dependent. Still , there are some relevant experimenta ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.