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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
$$i\hbar\frac{d|\psi(t)\ …
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vote
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Scattering by a Delta Function Well in 1D [closed]
Let us consider a scattering process by a delta function well in 1D:
$$
V(x) = -\alpha \, \delta(x), \quad \alpha > 0.
$$
I solve the Schrödinger equation for the scattering states and get the follow …
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2
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Particle in a Box: Energy Less than the Potential Energy
I am reading quantum mechanics from Shankar's Principles of Quantum Mechanics. On page 157 he defines the box potential $V(x)$ as
$$
V(x) = \left\{ \begin{array}{rl}
0 &\mbox{ if $|x|< L/2$} \\
\inft …