Transcription of Chapter 2 Basic Principles of quantum mechanics
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Chapter 2 Basic Principles of quantum mechanics
Chapter 2 Basic Principles of quantummechanicsFor a repetition of quantum mechanics you may find the following links use-ful: Postulates of quantum mechanics Postulate 1. The state of a quantum mechanical system is completelyspecified by a function (r,t)that depends on the coordinates of allparticlesrand on time. This function, called the wave function orstate function, has the important property that (r,t) (r,t)d is theprobability that the particle lies in the volume elementd located atrat timet. The wavefunction must satisfy certain mathematical con-ditions because of this probabilistic interpretation. For the case of asingle particle, the probability of finding it somewhere in space is1,sothat we have the normalization conditionZ1 1 (r,t) (r,t)d =1( )It is customary to also normalize many-particle wavefunctions wavefunction must also be single-valued, continuous, and finite.
Basic Principles of quantum mechanics For a repetition of quantum mechanics you may find the following links use-ful: ... The central equation of quantum mechanics must be accepted as a postulate. • Postulate 6. The total wavefunction must be antisymmetric with re-
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