Measuring the position of an electron is a complex process due to the principles of quantum mechanics. Here are some key points regarding the measurement of an electron's position: 1. **Wave-Particle Duality**: Electrons exhibit both wave-like and particle-like properties. When you try to measure an electron’s position, you must consider its wave function, which describes the probability distribution of its position rather than a definite location. 2. **Uncertainty Principle**: According to Heisenberg's Uncertainty Principle, there is a fundamental limit to the precision with which you can know both the position and momentum of an electron simultaneously. The more accurately you measure the position, the less accurately you can know its momentum, and vice versa. 3. **Measurement Techniques**: - **Electron Microscopy**: Techniques like scanning tunneling microscopy (STM) or transmission electron microscopy (TEM) can provide information about the position of electrons in materials. - **Quantum Dots**: These are semiconductor particles that can confine electrons and can be used to study their position and behavior. - **Interference Patterns**: Experiments like the double-slit experiment demonstrate the wave nature of electrons, where measuring the position can alter the interference pattern. 4. **Detectors**: Specialized detectors like photomultiplier tubes or semiconductor detectors can be used to observe the effects of electrons, which can indirectly provide information about their position. 5. **Mathematical Formulation**: The position of an electron can be described using wave functions, represented mathematically by the Schrödinger equation. The square of the wave function's amplitude at a given point gives the probability density of finding the electron at that location. In summary, while you can measure the position of an electron, the intrinsic uncertainties and the nature of quantum mechanics complicate these measurements. The result is always a probability distribution rather than a precise location. 🙏
You can use jupyter notebook or the jupyter notebook extension of VSCode to open the .ipynb file. See more details here: docs.quantum.ibm.com/guides/install-qiskit#install-the-qiskit-sdk-and-the-qiskit-runtime-client
expectation value is like playing lotto. take a 6/49 lotto with balls numbered between 1 and 49 inclusive. There are only 9 balls evenly divisible by 5 which means there are only 84 combinations where every member of the combination is evenly divisible by 5. So... would the expectation value be HIGH or LOW for combinations where every member of that combination is evenly divisible by 5? I'd say the expectation value would be LOW.
come on , this is not fair , you have to list all the books in the back ground , just having them out of focus like that is not nice at all , and were is Dr. Olivia Lanes she is amazing a super star , , keep up the good work , loooking forward to the next one, been wondering why future light cone and not just a time line what do you think Principle of relativity.
Measuring the position of an electron is a complex process due to the principles of quantum mechanics. Here are some key points regarding the measurement of an electron's position:
1. **Wave-Particle Duality**: Electrons exhibit both wave-like and particle-like properties. When you try to measure an electron’s position, you must consider its wave function, which describes the probability distribution of its position rather than a definite location.
2. **Uncertainty Principle**: According to Heisenberg's Uncertainty Principle, there is a fundamental limit to the precision with which you can know both the position and momentum of an electron simultaneously. The more accurately you measure the position, the less accurately you can know its momentum, and vice versa.
3. **Measurement Techniques**:
- **Electron Microscopy**: Techniques like scanning tunneling microscopy (STM) or transmission electron microscopy (TEM) can provide information about the position of electrons in materials.
- **Quantum Dots**: These are semiconductor particles that can confine electrons and can be used to study their position and behavior.
- **Interference Patterns**: Experiments like the double-slit experiment demonstrate the wave nature of electrons, where measuring the position can alter the interference pattern.
4. **Detectors**: Specialized detectors like photomultiplier tubes or semiconductor detectors can be used to observe the effects of electrons, which can indirectly provide information about their position.
5. **Mathematical Formulation**: The position of an electron can be described using wave functions, represented mathematically by the Schrödinger equation. The square of the wave function's amplitude at a given point gives the probability density of finding the electron at that location.
In summary, while you can measure the position of an electron, the intrinsic uncertainties and the nature of quantum mechanics complicate these measurements. The result is always a probability distribution rather than a precise location.
🙏
super
the module in not opening in which app i want to open it
You can use jupyter notebook or the jupyter notebook extension of VSCode to open the .ipynb file. See more details here: docs.quantum.ibm.com/guides/install-qiskit#install-the-qiskit-sdk-and-the-qiskit-runtime-client
expectation value is like playing lotto. take a 6/49 lotto with balls numbered between 1 and 49 inclusive. There are only 9 balls evenly divisible by 5 which means there are only 84 combinations where every member of the combination is evenly divisible by 5. So... would the expectation value be HIGH or LOW for combinations where every member of that combination is evenly divisible by 5? I'd say the expectation value would be LOW.
come on , this is not fair , you have to list all the books in the back ground , just having them out of focus like that is not nice at all , and were is Dr. Olivia Lanes she is amazing a super star , , keep up the good work , loooking forward to the next one, been wondering why future light cone and not just a time line what do you think Principle of relativity.
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@@qiskit thanks
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