Schrodinger Time Dependent equation

In summary, the Time dependent Schrodinger equation contains a complex valued dependent variable, \Psi, which depends on the time coordinate t and 3N space coordinates. It also includes real valued parameters for mass and potential energy, and can be further explored through resources such as the provided Wikipedia link.
  • #1
HarryDaniels
43
0
Can someone explain the components of the Time dependent Schrodinger equation for me.

Thank you
-H
 
Physics news on Phys.org
  • #2
why don't try it for yourself first and then we can fill in the gaps for you?
 
  • #3
The Schrödinger equation contains one complex valued dependent variable, [tex]\Psi[/tex], which depends on the time coordinate t and 3N space coordinates, where N is the number of particles. It also contains a set of real valued parameters [tex]m_a[/tex] with a ranging from 1 to N, indicating the mass of each particle in the system, and a real valued parameter V, the system's potential energy, which depends on the same time and space coordinates.
 

Related to Schrodinger Time Dependent equation

1. What is the Schrodinger Time Dependent equation?

The Schrodinger Time Dependent equation is a fundamental equation in quantum mechanics that describes the time evolution of a quantum system. It is named after the Austrian physicist Erwin Schrodinger, who first developed it in 1926.

2. What does the equation represent?

The Schrodinger Time Dependent equation represents the wave function of a quantum system, which contains all the information about the system's physical properties. It allows us to calculate the probability of finding a particle in a specific state at a given time.

3. How is the equation used in quantum mechanics?

The Schrodinger Time Dependent equation is used to predict the behavior of quantum systems, such as atoms and molecules. It is also used to calculate the energy levels and wave functions of these systems, which are important in understanding their properties and interactions.

4. Is the equation applicable to all quantum systems?

Yes, the Schrodinger Time Dependent equation is applicable to all quantum systems, regardless of their complexity. It has been successfully used to describe the behavior of particles, atoms, molecules, and even larger systems such as crystals and superconductors.

5. Are there any limitations to the Schrodinger Time Dependent equation?

While the Schrodinger Time Dependent equation is a powerful tool in quantum mechanics, it does have some limitations. It is only applicable to non-relativistic systems, meaning it cannot accurately describe the behavior of particles moving at very high speeds. It also does not take into account the effects of gravity and other forces beyond the electromagnetic force.

Similar threads

Replies
5
Views
942
Replies
5
Views
1K
Replies
1
Views
812
Replies
4
Views
1K
  • Quantum Physics
Replies
1
Views
611
  • Quantum Physics
Replies
8
Views
1K
Replies
11
Views
948
Replies
24
Views
2K
  • Quantum Physics
5
Replies
143
Views
6K
  • Quantum Physics
Replies
9
Views
2K
Back
Top