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Using experimental value for hole mean free path (Formula presented) [this value is typical to a hole having energy below optical phonon energy in GaAs (Ref 28)], heavy-hole mass (Formula presented) and lattice temperature (Formula presented) from the uncertainty relation (Formula presented) and thermal wave vector (Formula presented) where (Formula presented) is the Boltzmann constant, one finds (Formula presented) The obtained value shows that in pure p-type semiconductors the wave vector is a good quantum number at low-lattice temperatures and thus may be used as an initial condition in solving Schrödinger equation
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Using experimental value for hole mean free path (Formula presented) [this value is typical to a hole having energy below optical phonon energy in GaAs (Ref 28)], heavy-hole mass (Formula presented) and lattice temperature (Formula presented) from the uncertainty relation (Formula presented) and thermal wave vector (Formula presented) where (Formula presented) is the Boltzmann constant, one finds (Formula presented) The obtained value shows that in pure p-type semiconductors the wave vector is a good quantum number at low-lattice temperatures and thus may be used as an initial condition in solving Schrödinger equation.
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