1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Wave functions

  1. Mar 17, 2012 #1
    With the number i, its possible to create a wave function with just one variable.

    example:

    f(x)=i^x

    or..

    f(x)=2^ix

    But is there any wave function without the number i AND with only one(x and y) variable? can this be created?
     
    Last edited: Mar 17, 2012
  2. jcsd
  3. Mar 17, 2012 #2
    y = sin(x)
     
  4. Mar 17, 2012 #3
    Hello,

    Are you aware of the general equation of a wave?

    Hint: (It is a second order differential equation)
     
  5. Mar 18, 2012 #4

    chiro

    User Avatar
    Science Advisor

    If you want something that oscillates, then something of the form r(x)e^(ig(x)) will give you that. A standard linear wave will be in the form g(x) = wx + c corresponding to a shift and frequency information and if you want a 'real' waveform with the same peak and trough for every wavefront then r(x) = c.

    This expression will give you a complex wave-form with a real and imaginary component and if you want one or the other and not both you need to use the normal identities to get rid of the i term or the real term.
     
  6. Mar 18, 2012 #5

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    In fact, it is possible to construct a one-dimensional wave of any shape.
     
  7. Mar 19, 2012 #6
    This is the same as

    y=1/2 i e^(-i x)-1/2 i e^(i x)

    so that would be "cheating"...
     
    Last edited: Mar 19, 2012
  8. Mar 19, 2012 #7
    does this mean i*g(x) (the imaginary unit times the function g of x)?
     
  9. Mar 19, 2012 #8
    I dont know anything about differential equations:(
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Wave functions
  1. Function ? (Replies: 30)

  2. Wave function (Replies: 4)

  3. Square Wave function. (Replies: 3)

Loading...