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Isha lohan Asked a Question
July 14, 2020 9:26 pmpts 30 pts
Can an operator in quantum act upon any wave function that is not possible wave function, which is not square integrable, like delta function or momentum function?
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  • Vaishali sharma Best Answer
    yes.....operator can be operated upon any wave fxn. but the condition is that function should be wave fxn means fxn should be square integrable , finite, single valued ans so on.
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    Isha lohan
    this must mean that we can not operate any operator on delta function?
  • Ravi prakash yadav thankyou
    No,in quantum mechanics,the wave function should be a acceptable wave function. It must be square integrable and hold all required properties. If operator acts on any function that...
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    Isha lohan
    then delta function? and momentum eigen function?
  • Vaishali sharma
    see it will give u a finite value means it is square integrable.
    • cropped7422409787724538453.jpg
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    Vaishali sharma
    see this
  • Neeraj bansal
    First of all go to basics. Why do you apply operator on any wave function. Obviously to get the values of position, momentum variables etc. as the wave function is acceptable and i...
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    Isha lohan
    yes right, but I got this dout when I saw this line in H C Verma book. see eq 6.2
  • Vaishali sharma
    means if u say a fxn which is not square integrable, not single valued then it would not be valid wave fxn and the result of this measurement would be completely absurd.
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  • Vaishali sharma
    so we will get an accurate result if we have valid wave function.
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  • Vaishali sharma
    hope u get it
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  • Chandra dhawan
    yes.....operator can be operated upon any wave fxn. but the condition is that function should be wave fxn means fxn should be square integrable , finite, single valued ans so on. b...
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