- #1
Varon
- 548
- 1
A single particle can behave like its interfering with itself by means of the following explanation (is it true or can you refute it?):
Ballentine wrote in his 1970 paper "Statistical Interpretations of Quantum Mechanics":
"As in any scattering experiment, quantum theory predicts the statistical frequencies of the various angles through which a particle may be scattered. For a crystal or diffraction grating there is only a discrete set of possible scattering angles because momentum transfer to and from a periodic object is quantized by a multiple of delta p = h/d, where delta p is the component of momentum tranfer parallel to the direction of the periodic displacement d. This result, which is obvious from a solution of the problem in momentum representation, was first discovered by Duane (1923), although this early paper had been much neglected until its revival by Lande (1955, 1965). There is no need to assume that an electron spreads itself, wavelike, over a large region of space in order to explain diffraction scattering. Rather it is the crystal which is spread out, and the electron interacts with the crystal as a whole through the laws of quantum mechanics."
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(my comment)
This behavior of periodic object and quantization of scattering angles can be said to explain what formed the regions of destructive interference where there are no particles detected. Any actual experiment been done with this? Can this account for all interference experiments to date? Can you maybe put a detector in the slit (inside the material of the slit) that won't disturb the scattering and know the which way path yet there is still interference (has no one tried this?)?
Ballentine wrote in his 1970 paper "Statistical Interpretations of Quantum Mechanics":
"As in any scattering experiment, quantum theory predicts the statistical frequencies of the various angles through which a particle may be scattered. For a crystal or diffraction grating there is only a discrete set of possible scattering angles because momentum transfer to and from a periodic object is quantized by a multiple of delta p = h/d, where delta p is the component of momentum tranfer parallel to the direction of the periodic displacement d. This result, which is obvious from a solution of the problem in momentum representation, was first discovered by Duane (1923), although this early paper had been much neglected until its revival by Lande (1955, 1965). There is no need to assume that an electron spreads itself, wavelike, over a large region of space in order to explain diffraction scattering. Rather it is the crystal which is spread out, and the electron interacts with the crystal as a whole through the laws of quantum mechanics."
~~~~~~~~~~~~
(my comment)
This behavior of periodic object and quantization of scattering angles can be said to explain what formed the regions of destructive interference where there are no particles detected. Any actual experiment been done with this? Can this account for all interference experiments to date? Can you maybe put a detector in the slit (inside the material of the slit) that won't disturb the scattering and know the which way path yet there is still interference (has no one tried this?)?
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