Calculating Quantum States in Energy Range: Proving g(E)dE Equation

Thread starter intr199
Start date Oct 26, 2011
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Energy Quantum Quantum states Range States

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SUMMARY

The discussion focuses on calculating the number of quantum states or unit cells within an energy range E and E+dE in phase space, specifically to prove the equation g(E)dE=[(8π√2V)/h^3]*m^(3/2)√EdE. Participants clarify the derivation process of this equation, emphasizing its significance in quantum mechanics. The equation incorporates constants such as Planck's constant (h) and variables like volume (V) and mass (m), which are crucial for accurate calculations.

PREREQUISITES

Understanding of quantum mechanics principles
Familiarity with phase space concepts
Knowledge of Planck's constant and its applications
Basic proficiency in mathematical derivations related to physics

NEXT STEPS

Study the derivation of the density of states in quantum mechanics
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Physicists, quantum mechanics students, and researchers interested in statistical mechanics and the derivation of quantum state equations.

Oct 26, 2011

intr199

How to calculate number of quantumstaes or unit cells within energy range E and E+dE in the phase space to prove the eqn: g(E)dE=[(8π√2V)/h^3]*m^(3/2)√EdE