What is the origin of quantization?

In summary, quantization is the process of breaking down continuous values into discrete units or levels. It is important in science because it simplifies complex systems and allows for accurate measurements and predictions. The concept was first introduced by Max Planck in the late 19th century and is a fundamental principle in quantum mechanics. Real-world applications of quantization include signal processing, data compression, cryptography, and the development of modern technologies such as transistors and computer processors.
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Choi
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What is the origin of quantization?

For example, electron of hydrogen atom has quantized energy level. But free particle has continuous energy level.

Interaction with another particle or any potential acting on particle makes such quantization?
 
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  • #2
Choi said:
What is the origin of quantization?

For example, electron of hydrogen atom has quantized energy level. But free particle has continuous energy level.

It's the boundary conditions.

Zz.
 
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Almost universally, an energy spectrum is discrete if only bounded motion is possible continuous if only unbounded motion is possible, and mixed otherwise.
 
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What is quantization?

Quantization is the process of breaking down continuous values into discrete units or levels. This is often used in fields such as physics, mathematics, and computer science.

Why is quantization important in science?

Quantization allows us to simplify complex systems and make them easier to analyze and understand. It also helps us to make accurate measurements and predictions.

What is the origin of quantization?

The concept of quantization was first introduced in the late 19th century by Max Planck in his study of blackbody radiation. He proposed that energy is not continuous but instead exists in discrete packets, which are now known as quanta.

How does quantization relate to quantum mechanics?

Quantization is a fundamental principle in quantum mechanics, which is the branch of physics that studies the behavior of matter and energy at a very small scale. In quantum mechanics, all physical quantities such as energy, position, and momentum are quantized.

What are some real-world applications of quantization?

Quantization has a wide range of applications in various fields, including signal processing, data compression, and cryptography. It is also crucial in the development of modern technologies such as transistors, lasers, and computer processors.

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