A question about Schrödinger's equation.

In summary, the conversation discusses the birth of the idea that quantum mechanical systems operate based on probability, which was introduced by Max Born. Born's theory suggested that the wave function Ψ(x,y,z,t) is related to the position probability, for which he won the 1954 Nobel Prize in physics. His key paper argues that ψ is the probability density, but a note in proof states that the probability is actually proportional to the square of ψ. The conversation also mentions that Born is the physicist who took the wave function and squared the absolute value of it, known as the Born rule.
  • #1
Fuinne
22
3
Hi,

So was Schrödinger's equation basically the birth of the idea that quantum mechanical systems work off probability? Also, I'm sure it's not Heisenberg, but I'm thinking of a physicist who took the wave function Ψ(x,y,z,t) and squared the absolute value of it, and I was wondering what his name was.

Thanks, and have a nice night,
 
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  • #2
According to a note in Binney and Skinner, The Physics of Quantum Mechanics, it was Max Born who first suggested that the wave function was related to position probability:

For this insight Born won the 1954 Nobel Price for physics. In fact the text of the key paper (Born, M., Z. Physik, 37 863 (1926)) argues that ψ is the probability density, but a note in proof says “On more careful consideration, the probability is proportional to the square of ψ”.
 
  • #3

Related to A question about Schrödinger's equation.

1. What is Schrödinger's equation?

Schrödinger's equation is a mathematical equation that describes the behavior of quantum particles, such as electrons, in a given system. It was developed by Austrian physicist Erwin Schrödinger in 1926 and is a fundamental concept in quantum mechanics.

2. How does Schrödinger's equation explain the behavior of quantum particles?

Schrödinger's equation uses wave functions to describe the probability of a quantum particle's position and momentum. It takes into account the particle's potential energy and how it changes over time, allowing us to make predictions about its behavior.

3. Is Schrödinger's equation applicable to all quantum systems?

Yes, Schrödinger's equation is a general equation that can be applied to any quantum system, from individual particles to complex molecules. However, it may need to be modified for certain systems, such as those with relativistic effects.

4. What is the significance of Schrödinger's equation in physics?

Schrödinger's equation revolutionized our understanding of quantum mechanics and has made it possible for us to make precise predictions about the behavior of subatomic particles. It has also led to the development of many important technologies, such as transistors and lasers.

5. Are there any limitations to Schrödinger's equation?

While Schrödinger's equation is incredibly powerful, it does have some limitations. It cannot fully explain certain phenomena, such as the behavior of particles in strong magnetic fields or particles moving at very high speeds. In these cases, other equations, such as the Dirac equation, may need to be used.

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