40 results about "Schrödinger equation" patented technology

An inspiration model device according to the invention is provided with a spontaneous emotion unit, a knowledge database, and a conception unit. The spontaneous emotion unit prepares, as data, plural emotion states in advance, which are obtained by modeling human emotions, and causes state transitions to occur repeatedly between the emotion states according a stochastic model of the Schrödinger equation. The knowledge database simulates a human inspiration source that is influenced by sensibility by classifying externally collected knowledge data depending on the degrees of correlation with the emotion states, and accumulates the knowledge data. When receiving an external input, the conception unit simulates human conception by combining the external input with an emotion state of the spontaneous emotion unit and searching the knowledge database for related knowledge data using, as a search key, the combination or the like.

In the present work, quantum clustering is extended to provide a dynamical approach for data clustering using a time-dependent Schrödinger equation. To expedite computations, we can approximate the time-dependent Hamiltonian formalism by a truncated calculation within a set of Gaussian wave-functions (coherent states) centered around the original points. This allows for analytic evaluation of the time evolution of all such states, opening up the possibility of exploration of relationships among data points through observation of varying dynamical-distances among points and convergence of points into clusters. This formalism may be further supplemented by preprocessing, such as dimensional reduction through singular value decomposition and/or feature filtering. Additionally, the parameters of the analysis can be modified in order to improve the efficiency of the dynamic quantum clustering processes.

The invention discloses a stock price trend prediction method based on the quantum mechanics and the social network. The micro particle characteristics of an individual investor affective decision in the social network are fully considered, the wave function and the operator of the individual decision in the network are defined, the influence relation between individuals in the social network is simulated by a segmented infinite potential well, the emotion of a single investor is predicted by a schrodinger equation and is overlaid by the emotion in the social network, the stock price variation trend is described, and the quantum mechanics model of the social network can be used for effectively improving the stock price trend prediction accuracy. The stock price trend prediction method based on the quantum mechanics and the social network has an important theoretical significance and economic value.

The invention discloses an optical pulse generating method capable of creating the three-energy-level system quantum bit random superposition state. An invariant theory is adopted to reversely solve atime-dependent Schrodinger equation of a three-energy-level system, field intensity information of a group of polychromatic optical pulses capable of generating the quantum bit random superposition state is constructed, an arbitrary wave generator and an acoustic and optical modulator are utilized to generate the polychromatic optical pulses, the extra degree of freedom in the polychromatic optical pulse field intensity is utilized to optimize the shape of the pulses, so that the pulses show robustness to the frequency detuning amount existing in the system, and have small-enough non-resonance excitation of background ions existing in the system, and thus the quantum bit random superposition state is created with the fidelity within a short acting time. By means of the optical pulse generating method, the optical pulses can generate the quantum bit random superposition state within the acting time of 4 microseconds, the fidelity within the frequency detuning amount range of +/-340 kHzis not lower than 99.5%, and the non-resonance excitation of the background ions does not exceed 2%.

To provide a numerical simulation apparatus capable of executing a numerical simulation with high speed and precision by reducing computational complexity. A numerical simulation apparatus (100) that executes a numerical simulation using a wave function which is a solution of a time dependent Schrödinger equation includes: a real time evolution calculation unit (106) that calculates a second wave function while evolving the second wave function from an initial time in increments of a predetermined time period, the second wave function being obtained by applying a central difference approximation in a real-space finite-difference method to a first wave function expressed using a propagator, and being expressed using a Bessel function; and a calculation result storage unit (108) that stores a calculation result of the second wave function obtained at each time by the time evolution calculation unit (106) while evolving the second wave function in increments of the predetermined time period.

A model-based system and method for global optimization that utilizes quantum mechanics in order to approximate the global minimum of a given problem (e.g., mathematical function). A quantum mechanical particle with a sufficiently large mass has a ground state solution to the Schrödinger Equation which is localized to the global minimum of the energy field, or potential, it experiences. A given function is modeled as a potential, and a quantum mechanical particle with a sufficiently large mass is placed in the potential. The ground state of the particle is determined, and the probability density function of the ground state of the particle is calculated. The peak of the probability density function is localized to the global minimum of the potential.

A method for analog designing of an active area of an AlGaN/GaN terahertz quantum cascade laser relates to methods for analog designing of active areas of terahertz quantum cascade lasers. The method includes: firstly, determining parameters required in one-dimensional effective mass Schrodinger equation; secondly, solving the Schrodinger equation; thirdly, calculating delta E21, delta E32 and delta E1'3; fourthly, judging; fifthly, searching the optimum structure; and sixthly, outputting the structure. The active area consists of n periods, and each period consists of three barrier layers and three potential well layers. The method can be applied to designing of active areas of terahertz quantum cascade lasers, and has the advantages that the longitudinal optical phonon scattering principle and the tunneling principle are fully used while the optimum active area structure can be searched out.

The method assumes that a single solution or addition or subtraction of solutions of Schrodinger equation represented by polar or parabolic coordinates having its maximum value at the origin gives a wave function and an electric potential of a hydrogen atom. The method further: (1) regards the result of applying a gradient vector operation and thereafter a sign inversion to the wave function as an electric field; regards segments connected successively along the direction of the electric field as electric lines of force; and draws the electric lines of force so as to be approximately proportional in number to the percentage of the wave function with a difference between the maximum and minimum values of the wave function regarded as 100; and (2) displaying the wave function as an electric potential in a contour drawing.

The invention relates to a multi-soliton implement method based on a simultaneous schrodinger equation, and belongs to the technical field of optical fiber communication. According to the multi-soliton implement method, through introduction of topologies and nonlinear transformation and by utilization of a Riccati equation mapping method, the simultaneous schrodinger equation is researched to construct a precise solution of a system. Through proper setting for an arbitrary function in an equation analytical solution, a novel oscillating soliton structure is obtained, and eventually multi-solitons of different numbers can be obtained by utilization of a Weierstrassp function. The problem that the multi-solitons are difficult to generate in the optical fiber communication technology is solved. The multi-soliton implement method based on the simultaneous schrodinger equation is simple, easy to understand, convenient to implement, strong in practicability, and capable of being adjustable in relevant parameters according to actual situations, providing powerful support for in-depth study of the filed of optical fiber communication systems and promoting the development of the subject.

The invention is applied to the technical field of optics, and provides a method and apparatus for detecting a relation between an evanescent field and Goos-Hanchen displacement, and an optical device. The method comprises the following steps: according to physical meanings of a stress function and a potential field function of light in the evanescent field, obtaining a potential field function of the evanescent field for total-reflection light; through combination with the potential field function of the evanescent field for the total-reflection light, obtaining a wave function of the total-reflection light after perturbation through a Schrodinger equation; and comparing the wave function of the total-reflection light after the perturbation with a wave function of free total-reflection light without an evanescent field effect, and the total-reflection light obtaining momentum having the same momentum property as the evanescent field under the effect of the evanescent field. According to the invention, better regulation and control of the Goos-Hanchen displacement can be realized, and the Goos-Hanchen displacement can be better applied to such fields as optical sensors, all-optical switches, light beam displacement modulators and the like.

The invention discloses a design method of a trap type dual-phonon active region energy level structure in a terahertz quantum cascade laser. The design method comprises the following steps of (1) designing a well width barrier width of one period of an active region of the terahertz quantum cascade laser; (2) solving the energy level of the active region through a schrodinger equation, and determining whether the energy level distributions satisfies the design requirements or not; and (3) solving an active region rate equation, and obtaining the output characteristic of the active region of the laser, and therefore, the design feasibility is verified. According to the method, the quantum well energy level theory is calculated by using schrodinger, so that the accuracy of the energy levelposition is determined, so that the problems of thermal excitation and thermal leakage caused by too high temperature of electrons in the terahertz quantum cascade laser can be solved, and higher operation temperature and the output characteristic of the laser can be obtained.

A control section virtually divides a surface of an adsorbing material into a plurality of regions (cells) in accordance with a computer program. Further, the control section-allocates a normal distribution function to each of the divided cells, and sets a linear combination of the normal distribution functions allocated to all cells to a trial function. Moreover, the control section solves a Schrödinger equation based upon a potential on the surface of the adsorbing material by a numerical variational method, to calculate a wave function. Then, based upon the calculated wave function, the quantum state of the atom or the molecule adsorbed on the surface of the adsorbing material is estimated.

A determination method of an optimum step in a digital rear projection algorithm of optical fiber transmission loss compensation relates to the optical fiber communication field. A change amount whose group speed moves a position along with a pulse is introduced into a time variable of an optical fiber transmission nonlinearity Schrodinger equation NLSE. Variable substitution is performed on the Schrodinger equation. And then, for the converted Schrodinger equation, a split-step Fourier transform is used to realize a digital rear projection DBP algorithm. In the digital rear projection DBP algorithm, an envelope index curve of oblique line pair optical pulse transmission is used to carry out fitting, one segment of oblique line is used to approximate each step, and a group with the smallest difference of a fitting curve slope formed by the oblique lines and an index curve slope is selected to be served as the step of the algorithm, which is optimum step distribution. In the invention, different optical power positions correspond to different steps so as to acquire an optimum transmission loss compensation effect.

The invention belongs to the field of geophysical processing methods for oil-gas exploration. The invention discloses a potential energy wave function domain seismic data quality factor estimation method. The method comprises the following steps: decomposing seismic data of a target area in a potential energy-wave function domain by using a Schrodinger equation of non-relativistic quantum mechanics, constructing an adaptive basis function through a Hamiltonian matrix, and calculating a mapping coefficient sequence of the seismic data in a potential energy-wave function space channel by channel; and calculating the Q estimation result of the adjacent horizon by using the mapping coefficient sequence of the potential energy-wave function space in combination with a least square method. The invention provides a seismic signal self-adaptive decomposition algorithm based on a quantum mechanics Schrodinger equation, derives a potential energy-wave function domain Q estimation algorithm, develops a high-precision potential energy-wave function domain seismic data Q estimation method, improves the accuracy of Q estimation, and provides a seismic signal self-adaptive decomposition algorithm based on a quantum mechanics Schrodinger equation. The problems that a traditional Q estimation method needs to select a frequency band and various assumption preconditions exist are solved.

The invention discloses a manufacturing method of a muon hydrogen atom type high-frequency laser. The manufacturing method comprises the following steps of: colliding hydrogen atoms by using a muon beams to ensure that electronic around the hydrogen atoms are ionized by the muons and captured by the hydrogen atoms so as to generate muon hydrogen atoms; obtaining an energy level structure of the muon hydrogen atoms through a Schrodinger equation for solving the muon hydrogen atoms; taking a carbon monoxide laser with a wave length of 5.8 microns as a pump laser to realize the overturning of amount of the muons on a 2p excited state; and enabling the muons located at a 2p energy level to jump to a 1s energy level (muons at the 2p energy level jumps to the 1s energy level to carry out spontaneous radiation jump), so as to generate 1.9 Kev of high-frequency X waveband laser. According to the manufacturing method disclosed by the invention, a working substance which is likely to generate X waveband lasers is disclosed through theoretical analysis, and a feasible working principle is disclosed; under the condition that the main quantum number is smaller than 30, the energy level life of the muon hydrogen atoms is much shorter than the life of the muons; and a proper energy level structure is searched in the part with an energy level smaller than 30, so that X waveband light is generated.