Measurement problem quantum mechanics

Thread starter Ashish Somwanshi
Start date Nov 9, 2022
Tags

Measurement Measurement problem Mechanics Quantum Quantum mechanics

In summary, the measurement problem in quantum mechanics refers to the issue of how a physical system can exist in a superposition of multiple states, yet when measured, only one state is observed. It challenges our understanding of reality and has practical implications for quantum technologies. There are various proposed solutions, but it remains a topic of debate without a definitive resolution. The measurement problem also has implications for our understanding of consciousness and the nature of the universe.

Nov 9, 2022

Ashish Somwanshi

Poster has been reminded to always show their work on schoolwork problems that they post

Homework Statement: Suppose there are two quantum mechanical observables c and d represented by operators C and D respectively. Both operators have two eigenstates, ϕ1 and ϕ2 for C and ψ1 and ψ2 for D. Furthermore , the two sets of eigenstates are related to each other as below

ϕ1=1/13(5ψ1+12ψ2)
ϕ2=1/13(12ψ1−5ψ2)

The system was found to be in state ϕ1 initially.

If we measure D, what is the probability of finding the system in ψ2?

Relevant Equations: Born rule?

Is the answer 0.748?

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Nov 9, 2022

BvU

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Homework Helper

How did you get that ?
And: what if it is ?

https://www.physicsforums.com/threads/homework-help-guidelines-for-students-and-helpers.686781/

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1. What is the measurement problem in quantum mechanics?

The measurement problem in quantum mechanics refers to the discrepancy between the deterministic nature of quantum mechanics and the seemingly random outcomes observed in measurements. In other words, it is the question of how a quantum system can exist in multiple states simultaneously until it is measured, at which point it collapses into a single state.

2. How has the measurement problem been addressed by scientists?

There are several proposed solutions to the measurement problem, including the Copenhagen interpretation, the Many-Worlds interpretation, and the Transactional interpretation. Each of these attempts to explain the collapse of the wave function in different ways, but the measurement problem remains a subject of debate and ongoing research in the field of quantum mechanics.

3. Why is the measurement problem important in quantum mechanics?

The measurement problem is important because it challenges our understanding of the fundamental nature of reality and the role of consciousness in the physical world. It also has practical implications for technologies that rely on quantum mechanics, such as quantum computing and cryptography.

4. Can the measurement problem be solved?

There is no consensus on whether the measurement problem can be definitively solved. Some scientists believe that it is an inherent limitation of our understanding of quantum mechanics, while others continue to search for a satisfactory explanation.

5. How does the measurement problem relate to other concepts in quantum mechanics?

The measurement problem is closely related to other fundamental concepts in quantum mechanics, such as superposition, entanglement, and the observer effect. It also has implications for the concept of determinism and the role of probability in quantum systems.