Time derivative of schrodinger equation

In summary, the Schrodinger equation is a mathematical equation that describes the change of a quantum system over time. The time derivative of this equation is a mathematical expression that helps predict the future state of a quantum system and is crucial in understanding its behavior. It is calculated using calculus and has various applications in quantum mechanics, such as predicting particle behavior and studying chemical reactions and material properties.
  • #1
geet89
3
0
Why is the TDSE first derivative in time. Now I know that it is required so that the wave functions are complex... but is there any physical interpretation for this requirment??
 
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  • #2
Ultimately, it's a postulate of QM. But you can rationalize it in various ways, for instance by Noether's theorem, energy is the conserved quantity under time translations.
 
  • #3
Can u give me some examples of what would happen if it were a second order derivative in time... and why should the wave functions always be complex?
 

FAQ: Time derivative of schrodinger equation

1. What is the Schrodinger equation?

The Schrodinger equation is a mathematical equation that describes how the quantum state of a physical system changes over time.

2. What is the time derivative of the Schrodinger equation?

The time derivative of the Schrodinger equation is a mathematical expression that describes how the quantum state of a physical system changes with respect to time.

3. Why is the time derivative of the Schrodinger equation important?

The time derivative of the Schrodinger equation is important because it allows us to predict the future state of a quantum system based on its current state. It plays a crucial role in understanding and predicting the behavior of quantum systems.

4. How is the time derivative of the Schrodinger equation calculated?

The time derivative of the Schrodinger equation is calculated using the principles of calculus, specifically the derivative operator. It involves taking the derivative of the wave function with respect to time.

5. What are some applications of the time derivative of the Schrodinger equation?

The time derivative of the Schrodinger equation has many applications in quantum mechanics, including predicting the behavior of particles in quantum systems, studying chemical reactions, and understanding the properties of materials at a microscopic level.

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