# Tagged Questions

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.

49 views

44 views

### Understanding wave functions of matter waves

The wave functions of matter waves give the probability density of the particle being at a certain location. Does this arise because as an outside observer, we have incomplete information about the ...
89 views

In the section of 'The free particle' in 'Introduction to quantum mechanics, second edition' by Griffiths page 65. He has the wave equation as $$\Psi(x,t) = \frac{1}{\sqrt{2 \pi}} \int_{-\infty}^{\... 2answers 31 views ### Bloch Functions as an implication of the Crystallographic Restriction Theorem? I'm studying Bloch Functions and it seems to me safe to assume that they are the most general Eigenfunction of a Hamiltionian with the crystal periodicity. Now the only considerations made in deriving ... 0answers 91 views ### The time evolution in Dirac delta potential [closed] We know that the dirac delta potential has exactly one bound state. If the potential strength suddenly changes a value, the bound state should evolve to the new bound state, how to describe the time ... 2answers 106 views ### Where the time-dependent wavefunction \Psi(\vec{x},t) lies? Supose \vec{x}=(x,y,z)\in \mathbb{R}^3. The state of a physical system is described by the function \Psi(\vec{x},t), where it must satisfy$$\int_{\mathbb{R}^3} d^3\vec{x}\;\vert\Psi(\vec{x},t)\...
The question title kind of speaks for itself really. I was thinking of maybe using the orthogonality relation to try to show this: $$\int_{-\infty}^{\infty}\phi_n(x)\phi_m(x)dx=\delta_{nm}.$$ ...