Rearranging a Wave Function: True or False?

In summary, the given wave has a frequency of 10E13 Hz, a wavelength of 3E-6 m, and a direction of motion in the positive x direction. Its speed is 300,000 km/s and its maximum amplitude is 9. The initial phase is π/c and it is linearly polarized. The equation can be arranged into the form E=Asin (2 pi f ((x/v) ± t)), but a phase term may also need to be included.
  • #1
geoffreythelm
11
0

Homework Statement


Consider the wave described by:
E= 3 sin [pi (x/c - t)*10^13+ pi/6]

True or false?
34. The frequency = 10E13 Hz.
35. The wavelength = 3E-6 m.
36. The direction of motion: positive x direction.
37. The speed = 300 000 km/s.
38. The maximum amplitude = 9
39. The initial phase = π/c
40. It is linearly polarised.


Homework Equations





The Attempt at a Solution



I'm trying to arrange it into the form E=Asin 2 pi f ((x/v) ± t).
 
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  • #2
geoffreythelm said:

Homework Statement


Consider the wave described by:
E= 3 sin [pi (x/c - t)*10^13+ pi/6]
...

The Attempt at a Solution



I'm trying to arrange it into the form E=Asin (2 pi f ((x/v) ± t)).
I think you will need to include a phase term in this.

What have you tried?
 

FAQ: Rearranging a Wave Function: True or False?

What is a wave function and why is it important in rearranging?

A wave function is a mathematical description of a particle or system's quantum state. It provides information about the probability of finding a particle in a particular position or state. Rearranging a wave function allows us to manipulate and understand the behavior of quantum systems, which is crucial in fields such as quantum mechanics and quantum computing.

How do you rearrange a wave function?

Rearranging a wave function involves applying mathematical operations, such as addition, multiplication, or differentiation, to the original wave function. The goal is to simplify the function and extract useful information, such as the particle's energy or position. This process requires a strong understanding of mathematics and quantum mechanics.

Can rearranging a wave function change its physical meaning?

Yes, rearranging a wave function can change its physical meaning. For example, applying a mathematical operation that results in a negative or imaginary value can lead to non-physical solutions. It is crucial to carefully manipulate the wave function and ensure that the resulting function still accurately represents the quantum state of the system.

What are some applications of rearranging a wave function?

Rearranging a wave function has numerous applications in various fields, including quantum mechanics, quantum computing, and chemistry. For instance, in quantum computing, rearranging wave functions allows for the manipulation and control of qubits, the basic unit of quantum information. In chemistry, it helps in understanding the electronic structure and behavior of molecules.

Is there a specific method for rearranging a wave function?

There is no one specific method for rearranging a wave function. The approach used depends on the specific problem and the desired outcome. Some common techniques include applying operators, using mathematical properties, and using symmetry arguments to simplify the wave function. It is essential to have a strong understanding of quantum mechanics and mathematical concepts to effectively rearrange a wave function.

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