Find the time dependent wave function

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SUMMARY

The time-dependent wave function can be determined by solving the Schrödinger equation given the initial state of a system at time t=0 in vector form. The initial conditions directly influence the evolution of the wave function over time. This process is essential for understanding quantum mechanics and the behavior of quantum systems.

PREREQUISITES
  • Understanding of the Schrödinger equation
  • Familiarity with quantum mechanics concepts
  • Knowledge of vector representation in quantum states
  • Basic principles of time evolution in quantum systems
NEXT STEPS
  • Study the solutions to the time-dependent Schrödinger equation
  • Explore the concept of initial conditions in quantum mechanics
  • Learn about vector spaces and their application in quantum state representation
  • Investigate time evolution operators in quantum systems
USEFUL FOR

Students and professionals in physics, particularly those focusing on quantum mechanics, as well as researchers interested in wave function analysis and time evolution of quantum states.

jimmycricket
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If you are given the state of a system at t=0 in vector form, how do you find the wave function for arbitrary t?
 
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What do you mean by "vector form"? The wave function is determined by solving the Schrödinger equation for the given initial conditions.
 
I have figured it out now but thanks for your interest.
 

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