What is the Born approximation and how does it relate to quantum scattering?

In summary, scattering is a physical process where particles or waves are deflected by other particles or structures. There are three main types of scattering: elastic, inelastic, and Raman. It is used in various scientific fields to study the properties of particles and materials. Diffraction is a specific type of scattering that involves the bending of waves around obstacles, while scattering refers to the redirection of waves in different directions. The properties of the scattering medium, such as density and composition, can affect the scattering process and can be utilized for specific purposes.
  • #1
Caglar Yildiz
19
0
Hi i am trying to understand Borh's scattering but i need article that will teach me step by step. Do you know any?
 
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  • #2
Do you mean the Born approximation? That's just the 1st-order scattering amplitude in usual perturbation theory. You find it in any good textbook on quantum theory. For the formalism, I'd recommend Sakurai, Modern Quantum Mechanics, and to understand the physics and the assumptions underlying the definition of the S-matrix, read the corresponding chapter in Mesiah, Quantum Mechanics, which gives a very concise analysis in terms of the wave-packet approach.
 

Related to What is the Born approximation and how does it relate to quantum scattering?

1. What is scattering?

Scattering is a physical process in which particles or waves are deflected or redirected by other particles or structures in their path. This can occur with various types of particles, such as light, sound, or even subatomic particles.

2. What are the different types of scattering?

There are three main types of scattering: elastic, inelastic, and Raman scattering. Elastic scattering occurs when the scattered particles have the same energy and wavelength as the incident particles. Inelastic scattering involves a transfer of energy between the incident and scattered particles, resulting in a change in their energy or wavelength. Raman scattering is a type of inelastic scattering where the scattered particles experience a change in their vibrational or rotational energy.

3. How is scattering used in scientific research?

Scattering is used in a variety of scientific fields, such as physics, chemistry, and materials science, to study the properties of particles and materials. It can provide information about the size, shape, structure, and interactions of particles, as well as the composition and dynamics of materials.

4. What is the difference between scattering and diffraction?

Scattering and diffraction are similar processes that involve the deflection of waves or particles. The main difference is that scattering refers to the redirection of waves or particles in different directions, while diffraction specifically refers to the bending of waves around obstacles or through narrow openings. Additionally, diffraction is a more specific type of scattering that occurs when the wavelength of the incident waves is comparable to the size of the diffracting object.

5. How is scattering affected by the properties of the scattering medium?

The properties of the scattering medium, such as its density, refractive index, and composition, can affect the scattering process. Different materials have different scattering properties, which can be utilized for specific purposes. For example, particles with high refractive indices can be used as scattering agents in medical imaging to enhance contrast, while low-density materials may be used to reduce scattering in optical systems.

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