Learning Path
Question & Answer1
Understand Question2
Review Options3
Learn Explanation4
Explore TopicChoose the Best Answer
A
Heisenberg's uncertainty
B
Schrodinger's wave
C
Maxwell's equations
D
Ehrenfest's theorem
Understanding the Answer
Let's break down why this is correct
Answer
In quantum mechanics, the time evolution of a quantum state is governed by the Schrödinger equation, which tells us how the state changes with time. The equation links the energy of the system to the rate at which the wavefunction changes, using the Hamiltonian operator. By solving this differential equation, we can predict the future behavior of particles or systems. For example, an electron in a hydrogen atom has its wavefunction evolve according to the Schrödinger equation, allowing us to calculate probabilities of finding it at different positions over time.
Detailed Explanation
The equation that tells us how a quantum state changes over time is the core rule of quantum dynamics. Other options are incorrect because The principle about limits of measuring certain pairs of properties is about measurement limits, not how a state changes; The equations that describe electric and magnetic fields are for classical electromagnetism, not for quantum states.
Key Concepts
Quantum state evolution
Schrodinger's wave equation
Ehrenfest's theorem
Topic
Quantum State Dynamics
Difficulty
hard level question
Cognitive Level
understand
Practice Similar Questions
Test your understanding with related questions
1
Question 1Arrange the following steps in the correct order for the evolution of a quantum state according to the principles of quantum mechanics: A) Apply the Hamiltonian operator to the wave function, B) Determine the initial quantum state of the system, C) Solve the Schrödinger equation to find the time evolution, D) Analyze the resulting wave function to extract physical predictions.
easyComputer-science
Practice
2
Question 2In quantum mechanics, the time evolution of a quantum state is governed by the __________ equation, which describes how the state changes with time.
hardComputer-science
Practice
3
Question 3Arrange the following steps in the correct order for the evolution of a quantum state according to the principles of quantum mechanics: A) Apply the Hamiltonian operator to the wave function, B) Determine the initial quantum state of the system, C) Solve the Schrödinger equation to find the time evolution, D) Analyze the resulting wave function to extract physical predictions.
easyComputer-science
Practice
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