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The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Quantum Numbers02:43

Quantum Numbers

34.2K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
34.2K
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
989
BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

324
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
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Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
606
Second Order systems II01:18

Second Order systems II

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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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相关实验视频

Updated: May 27, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
00:07

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

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预测四个量子比特量子系统的三维混乱系统.

Joel Steinegger1,2, Christoph Räth3

  • 1Institut für KI Sicherheit, Deutsches Zentrum für Luft- und Raumfahrt (DLR), Wilhelm-Runge-Straße 10, 89081, Ulm, Germany.

Scientific reports
|February 20, 2025
PubMed
概括
此摘要是机器生成的。

只有四个量子比特的量子储库计算可以预测复杂的3D系统. 这种人工智能方法优化了数据编码和读取,以便准确的短期和长期预测,为NISQ时代的量子计算机铺平了道路.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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相关实验视频

Last Updated: May 27, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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科学领域:

  • 量子计算是一种量子计算.
  • 人工智能的人工智能
  • 复杂的系统复杂的系统.

背景情况:

  • 储计算 (RC) 为复杂系统提供了基于人工智能的高效预测.
  • 量子系统显示出作为增强RC性能储存库的承诺.
  • 由于希尔伯特空间缩放,小型量子系统足以进行时间序列预测.

研究的目的:

  • 为了证明量子储库计算 (QRC) 在预测三维 (3D) 混乱系统中的有效性.
  • 为了证明最小的量子硬件 (四个量子比特) 足以准确预测.
  • 用各种3D混乱系统验证方法.

主要方法:

  • 用了一种量子储存库,使用了最小数量的量子比特 (四个) 来完成任务.
  • 通过空间和时间复杂化优化数据编码.
  • 采用先进的读取方案,包括更高的水库反应指数.

主要成果:

  • 成功预测了八个原型3D混乱系统的行为.
  • 实现了准确的短期预测和长期系统动态 ("气候") 的再现.
  • 通过单一设置优化的超参数来证明可行性.

结论:

  • 四个量子比特量子储库足以预测3D混乱系统.
  • 优化QRC是短期和长期预测的可行方法.
  • 这项工作推动了NISQ时代用于预测任务的专用量子计算机的开发.