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A complex scalar field that describes a quantum mechanical system. The square of the modulus of the wave function gives the probability of the system to be found in a particular state. DO NOT USE THIS TAG for classical waves.

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State Vector in the Schrodinger Equation

Let us consider a nonrelativistic particle of mass $m$, spin $s$ and isospin $i$. The Schrodinger equation for the state vector $|\psi(t)\rangle$ of this particle is given by $$i\hbar\frac{d|\psi(t)\ …
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1 vote
2 answers
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Scattering by a Delta Function Well in 1D [closed]

Let us consider a scattering process by a delta function well in 1D: $$ V(x) = -\alpha \, \delta(x), \quad \alpha > 0. $$ I solve the Schrödinger equation for the scattering states and get the follow …
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1 vote
2 answers
5k views

Particle in a Box: Energy Less than the Potential Energy

I am reading quantum mechanics from Shankar's Principles of Quantum Mechanics. On page 157 he defines the box potential $V(x)$ as $$ V(x) = \left\{ \begin{array}{rl} 0 &\mbox{ if $|x|< L/2$} \\ \inft …
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