Unraveling the Mystery of Probability Amplitudes

In summary, the conversation discusses the need to work with probability amplitudes rather than just probabilities in certain physical phenomena. One person is unsure of the specific phenomenon being referred to, while another clarifies that it is in situations where the amplitudes must be added. The conversation then ends with a request for help on a different question.
  • #1
bon
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Homework Statement



What physical phenomenon requires us to work with probability amplitudes rather than just with probabilities, as in other fields of endeavour?


Homework Equations





The Attempt at a Solution



Not sure. The wording of the q throws me... phenomenon i.e. singular..?

Is there one phenomenon in particular?
 
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  • #2
hi bon! :smile:

i think it means, in what circumstances would you have to add the amplitudes? :wink:
 
  • #3
tiny-tim said:
hi bon! :smile:

i think it means, in what circumstances would you have to add the amplitudes? :wink:

Thanks okay i get this now.

Got another question though...

How do you do part (c) on this question? I'm a bit confused...
 

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  • #4
uhh? that's a completely new question :redface:

please start a new thread
 
  • #5

The phenomenon that requires us to work with probability amplitudes rather than just probabilities is the inherently probabilistic nature of quantum mechanics. In classical mechanics, probabilities are assigned to specific outcomes of a measurement, but in quantum mechanics, the state of a system is described by a wave function that contains all possible outcomes and their corresponding probabilities. This means that in order to fully understand and predict the behavior of a quantum system, we must use probability amplitudes to account for the interference and superposition of all possible states. This is a fundamental aspect of quantum mechanics and is crucial in understanding the behavior of particles on a microscopic scale.
 

FAQ: Unraveling the Mystery of Probability Amplitudes

1. What is the concept of probability amplitudes?

Probability amplitudes are mathematical quantities that represent the likelihood of a quantum system being in a particular state. They are complex numbers that are used to calculate the probability of a particle or system being in a certain state at a given time.

2. How are probability amplitudes related to quantum mechanics?

Probability amplitudes are a fundamental concept in quantum mechanics. They are used to describe the behavior of subatomic particles and systems, which cannot be accurately predicted using classical physics. In quantum mechanics, probability amplitudes are used to calculate the probability of a particle or system being in a particular state at any given time.

3. What is the difference between probability amplitudes and classical probabilities?

Unlike classical probabilities, which are represented by real numbers between 0 and 1, probability amplitudes are complex numbers. They also behave differently than classical probabilities, with the amplitudes of different states being able to interfere with each other. Additionally, while classical probabilities represent the likelihood of an event occurring, probability amplitudes represent the likelihood of a quantum state being observed at a given time.

4. How do probability amplitudes relate to the wave function?

The wave function is a mathematical function that describes the quantum state of a system. Probability amplitudes are used to calculate the wave function, which can then be used to determine the probability of the system being in a certain state. In other words, probability amplitudes are the building blocks of the wave function.

5. What are some real-world applications of understanding probability amplitudes?

Probability amplitudes are used in a wide range of technologies, including quantum computing, quantum cryptography, and quantum sensors. They are also used in medical imaging techniques, such as magnetic resonance imaging (MRI), to better understand and analyze the behavior of subatomic particles. Additionally, understanding probability amplitudes is crucial in developing new technologies that utilize the principles of quantum mechanics.

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