Why Must ψ and Its Derivative Be Continuous and Finite in Quantum Physics?

In summary, quantum physics is a branch of physics that studies the behavior of matter and energy at a very small scale. It has led to many technological advancements and plays a crucial role in various fields. It differs from classical physics in its focus on the behavior of particles at a microscopic level and the introduction of uncertainty. Probability is a key concept in quantum physics, as it describes the behavior of particles through wave functions. Quantum entanglement is a phenomenon where particles become connected in a way that their states are linked, even at large distances. This concept has potential applications in quantum communication and computing.
  • #1
quantumevo
1
0
Hello all,

I have a quantum physics question which is more conceptual and mathematical than anything. Here's the question:

Explain why ψ and its derivative have to be continuous and finite.
 
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  • #2
Hi quantumevo, welcome to PF! :smile:

We're not here to do your homework for you.

What are your thoughts on the question?...Some things you may want to look at are what the Schroedinger equation looks like at points where the wavefunction is discontinuous; and the probability of measuring the position of a particle in the immediate vicinity of a discontiuity in its wavefunction...
 

Related to Why Must ψ and Its Derivative Be Continuous and Finite in Quantum Physics?

1. What is quantum physics?

Quantum physics is a branch of physics that studies the behavior of matter and energy at a very small scale, such as atoms and subatomic particles. It explains how particles interact with each other and the forces that govern their behavior.

2. What is the significance of quantum physics?

Quantum physics has revolutionized our understanding of the universe and has led to many technological advancements, such as transistors, lasers, and MRI machines. It also plays a crucial role in fields like chemistry, biology, and engineering.

3. How does quantum physics differ from classical physics?

Classical physics describes the behavior of objects at a macroscopic level, while quantum physics deals with the behavior of particles at a microscopic level. Quantum physics also introduces the concept of uncertainty, where the exact position and momentum of a particle cannot be known simultaneously.

4. What is the role of probability in quantum physics?

In quantum physics, the behavior of particles is described by wave functions, which represent the probability of finding a particle in a particular state. This means that the behavior of particles is not deterministic, and can only be described in terms of probabilities.

5. How does quantum entanglement work?

Quantum entanglement is a phenomenon where two or more particles become connected in a way that the state of one particle affects the state of the other, even if they are separated by large distances. This concept is still not fully understood, but it has been proven through various experiments and has potential applications in quantum communication and computing.

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