A particle of charge q and mass n is subject to a uniform electrostatic field E. (a) Write down the time-dependent Schrödiuger equation for this system. (b) Show that the expectation valuc of the position operator obeys New- ton's second law of inotion when the particle is in an arbitrary state (r, t). (c) It can be shown that this result is valid if there is also a uniform mag- netostatic field prcsent. Do thcsc results havc any practical application to the design of instruments such as mass spectrometers, particle accelerators, etc.? Explain.
A particle of charge q and mass n is subject to a uniform electrostatic field E. (a) Write down the time-dependent Schrödiuger equation for this system. (b) Show that the expectation valuc of the position operator obeys New- ton's second law of inotion when the particle is in an arbitrary state (r, t). (c) It can be shown that this result is valid if there is also a uniform mag- netostatic field prcsent. Do thcsc results havc any practical application to the design of instruments such as mass spectrometers, particle accelerators, etc.? Explain.
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Transcribed Image Text:A particle of charge q and mass n is subject to a uniform electrostatic
field E.
(a) Write down the time-dependent Schrödiuger equation for this
system.
(b) Show that the expectation valuc of the position operator obeys New-
ton's second law of inotion when the particle is in an arbitrary state (r, t).
(c) It can be shown that this result is valid if there is also a uniform mag-
netostatic field prcsent. Do thcsc results havc any practical application to
the design of instruments such as mass spectrometers, particle accelerators,
etc.? Explain.
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