- #1
- 1,271
- 7
To find the expected value of Q(x,p) we evaluate [itex]<\psi|Q(x,-i\hbar \frac{\partial }{\partial x})|\psi>[/itex]. But what do you do if you want to find, say, <p^(3/2)>. How do you raise the derivative operator to the three-halves?
nicksauce said:To find the expected value of Q(x,p) we evaluate [itex]<\psi|Q(x,-i\hbar \frac{\partial }{\partial x})|\psi>[/itex]. But what do you do if you want to find, say, <p^(3/2)>. How do you raise the derivative operator to the three-halves?
Count Iblis said:Next problem:
How would you handle:
<x^(1/2)p^(3/2)>
Fourier transform [tex]\psi(x)[/tex] and [tex]x^{1/2}\psi(x)[/tex] separately.Count Iblis said:Next problem:
How would you handle:
<x^(1/2)p^(3/2)>
The expected value of Q(x,p) is a statistical measure that calculates the average value of a random variable, taking into account the probability of each possible outcome. It is denoted as E[Q(x,p)].
The expected value of Q(x,p) is calculated by multiplying each possible outcome of the random variable by its corresponding probability and then summing up all the products. This can be represented mathematically as E[Q(x,p)] = Σ x * P(x), where x represents the possible outcomes and P(x) represents their probabilities.
The expected value of Q(x,p) is an important concept in science as it allows researchers to make predictions and decisions based on the average outcome of a random variable. It is commonly used in fields such as economics, physics, and engineering to analyze data and make informed conclusions.
The expected value of Q(x,p) is a theoretical value that represents the average outcome of a random variable. It may or may not match the actual value, which is the observed result of a specific experiment or event. However, as the number of trials increases, the expected value tends to converge towards the actual value.
Yes, the expected value of Q(x,p) can be negative. This means that there is a higher probability of getting a negative outcome than a positive one. However, if the expected value is negative, it does not necessarily mean that all the outcomes will be negative. It is simply the average result taking into account the probabilities of all possible outcomes.