What are the properties of a well-behaved wave function?

These are the characteristics of well behave wave function:— A well have wave function must be single-valued an It must be differentiable and continuous. The wave function must be finite everywhere, it means it’s volume integral in it’s domain should be equal to one.

What does it mean if a function is well-behaved?

A Well-Behaved Function is a function in a relationship with some other function that is more difficult to analyze. Example(s): a Continuous Function in relation to a Discontinuous Function. a Differentiable Function in relation to a Non-Differentiable Function.

How do you check a function is well-behaved or not?

A function which is continuous is “well behaved function”. For example if the value of the function can be estimated by looking to neighbouring values of the function then this function is called “well behaved one”.

Which of the following characteristics correspond to well-behaved wave function?

Characteristics a well-behaved wave function are: The function must be single-valued; i.e. at any point in space, the function must have only one numerical value.

Which of the following is a requirement of well behaved function?

Well behaved wave function is the wave function which is single valued, continuous and finite. It must be single valued to get good probability. It should be continuous to have good probability. It should be finite to have good probability in case of trignometric function sin x.

What is a well behaved function in quantum mechanics?

A well behaved wave function in quantum mechanics is the wave function which has a physical significance.

Which of the following is a requirement of well-behaved function?

Which of the following function is well-behaved function?

The wave function given below is fulfilling all the necessary conditions for a well-behaved wave function. Hence, it is one of the examples well-behaved wave function. Explanation: 1.

What are the special properties which must be fulfilled by the acceptable solution of the wave equation?

Answer: For a wave function to be acceptable over a specified interval, it must satisfy the following conditions: (i) The function must be single-valued, (ii) It is to be normalized (It must have a finite value), (iii) It must be continuous in the given interval.

Which of the following can be a well behaved wave function Mcq?

Which of the following can be a wave function? Explanation: Out of all the given options, sin x is the only function, that is continuous and single-valued.

What are the properties of matter waves?

What are the properties of matter waves?

  • Matter waves are not electromagnetic in nature.
  • Matter-wave represents the probability of finding a particle in space.
  • Matter waves are independent of the charge on the material particle.
  • Electron microscope works on the basis of de-Broglie waves.

Which of the following function is not well behaved wave function?

Ψ = x 2 is not a well-behaved wave function.

https://www.youtube.com/watch?v=4oU8DcCiWdY