Quantum mechanics(expected probability)

In summary, the conversation discusses the probability of a composite state |C> being a linear combination of two particles with probable states A1, A2, A3 and B1, B2, B3 respectively. The probability of getting the first particle to be in state A1 is equal to the sum of probabilities of all the possible combinations of A1 and Bi. The speaker is unsure how to use the "resultant" probability to calculate the original component probabilities.
  • #1
member 141513

Homework Statement



suppose we have two particles, first with probable states A1,A2,A3 and state B1,B2,B3 each with a certain probability P
Now if we know the probability of composite state |C> is Q
what is the probability to get the first particle to be A1?

im troubled. please help thanks

Here ,probability of getting C is any linear combination of A and B = aP(A)+bP(B)

Homework Equations





The Attempt at a Solution


i have tried to do like this
because C equals one of these 9 states (A1,A2,A3)+(B1,B2,B3)
lets call them |1>,|2>,...,|9>

i don't know how to relate use the "resultant" prbability to get back the original component probability

is it correct to use, for example <C|1> in calculation, I am in trouble
 
Physics news on Phys.org
  • #2
You have a very fuzzy explanation of the problem, but isn't it as simple as (A1,Bi) summed over i?
 

FAQ: Quantum mechanics(expected probability)

What is quantum mechanics?

Quantum mechanics is a branch of physics that studies the behavior of particles at a very small scale, such as atoms and subatomic particles. It explains how these particles behave and interact with each other on a quantum level, which is different from the classical mechanics that we observe in our everyday lives.

What is the expected probability in quantum mechanics?

The expected probability in quantum mechanics refers to the likelihood of a particular outcome or measurement of a quantum system. It is calculated using mathematical equations and is often represented by the wave function of the system, which describes the probability of finding the system in a particular state.

How is quantum mechanics related to Heisenberg's uncertainty principle?

Heisenberg's uncertainty principle is a fundamental principle in quantum mechanics that states that it is impossible to simultaneously know the exact position and momentum of a particle. This is because measuring one quantity with high accuracy will inherently lead to uncertainty in the other. This principle arises from the wave-particle duality of quantum particles.

What are quantum superpositions?

Quantum superpositions refer to the phenomenon in which a particle or system exists in multiple states or positions simultaneously. This is a fundamental concept in quantum mechanics and is often illustrated by the famous Schrödinger's cat thought experiment. Superpositions are described by the wave function and are only observed when the system is not being observed or measured.

How is quantum mechanics used in technology?

Quantum mechanics has numerous applications in technology, such as in the development of semiconductors, transistors, and lasers. It also plays a crucial role in quantum computing, which has the potential to revolutionize computing power and solve complex problems that are not possible with classical computers. Additionally, quantum mechanics is used in medical imaging, cryptography, and other fields of science and technology.

Similar threads

I Measurement problem in simple experiment
2
Replies
38
Views
4K
B Probability - two possible points of view?
Replies
7
Views
928
Some questions about reciprocal lattice vectors
Replies
3
Views
2K
Comp Sci An Introduction to Deep Learning and Modifying Code
Replies
7
Views
1K
A discrete-time queue Markov Chain problem
Replies
12
Views
1K
Simplifying expression with vectors
Replies
14
Views
2K
Switching observers in a quantum measurement
Replies
3
Views
1K
Gas Solubility in water - constants, and calculations
Replies
8
Views
3K
Most Probable energy after infinite square well expands
Replies
2
Views
364
I How indistinguishable are photons?
Replies
32
Views
2K

Hot Threads

Recent Insights

Back
Top