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Summary of Quantum and Statistical Mechanics

  • Michele Cini
  • Francesco Fucito
  • Mauro Sbragaglia
Part of the UNITEXT book series (UNITEXT)

Abstract

In Quantum Mechanics, the state of a particle in one dimension and in presence of a potential U(x,t), is entirely described by a complex wave function ψ(x,t) obeying the time dependent Schrödinger equation
$$i\hbar \frac{{\partial \psi \left( {x,t} \right)}}{{\partial t}} = - \frac{{{\hbar ^2}}}{{2m}}\frac{{{\partial ^2}\psi \left( {x,t} \right)}}{{\partial {x^2}}} + U\left( {x,t} \right)\psi \left( {x,t} \right)$$
where m is the mass of the particle and ħ is the Planck constant, h, divided by 2π.

Keywords

Wave Function Angular Momentum Discrete Spectrum Hypergeometric Series Grand Canonical Ensemble 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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Copyright information

© Springer-Verlag Italia 2012

Authors and Affiliations

  • Michele Cini
    • 1
    • 2
  • Francesco Fucito
    • 1
    • 2
  • Mauro Sbragaglia
    • 1
    • 2
  1. 1.Department of PhysicsUniversity of RomeTor VergataItaly
  2. 2.Laboratori Nazionali FrascatiINFNItaly

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