Potential energy, Wave function, Quantum physics

In summary, potential energy is the stored energy of an object that can be converted into other forms, such as kinetic energy. A wave function is a mathematical description of the quantum state of a particle or system. In quantum physics, potential energy is used to describe the behavior and properties of particles. The uncertainty principle states that it is impossible to simultaneously know the exact position and momentum of a particle in quantum systems. In a quantum system, potential energy is quantized and determined by the laws of quantum mechanics.
  • #1
HektorHusky
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Homework Statement
A one-dimensional potential well has a barrier of height 1.5 eV (relative to the energy of the bottom of the well) on the right hand side, and a barrier higher than this on the left hand side. We happen to know that this potential well has an energy eigenstate for an electron at 1.3 eV (also relative to the energy at the bottom of the well)
Relevant Equations
State the general form of the wavefunction solution (i.e., within a normalizing constant that you need not attempt to determine) in each of the following two cases, giving actual values for any wavevector magnitude k and/or decay constant k in these wavefunctions. i. Within the well. ii. In the barrier on the right hand side.
I am totally confused about the task. Any help will be nice. Thank you so much
 
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  • #2
:welcome:

I assume you have been studying or attending lectures on the relevant material? The question appears to assume you have a whole bunch of solutions and equations at your fingertips.
 

1. What is potential energy?

Potential energy is the energy that an object possesses due to its position or configuration. It is stored energy that has the potential to be converted into other forms, such as kinetic energy.

2. What is a wave function?

A wave function is a mathematical description of the quantum state of a particle. It represents the probability amplitude of finding a particle at a certain position and time, and it is used to calculate the likelihood of different outcomes of a quantum measurement.

3. 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 the fundamental principles that govern the behavior of particles at this scale, including concepts such as wave-particle duality and uncertainty.

4. How is potential energy related to quantum physics?

In quantum physics, potential energy is a fundamental concept that is used to describe the behavior of particles. The potential energy of a particle is determined by its position and the forces acting on it, and it plays a crucial role in understanding the behavior of particles at a quantum level.

5. What are some real-world applications of potential energy and quantum physics?

Potential energy and quantum physics have a wide range of applications in various fields, such as chemistry, material science, and technology. For example, understanding the potential energy of chemical bonds is essential in designing new drugs and materials, and quantum physics is used in developing technologies such as transistors and lasers.

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