query: Density of states of non-rationally invariant dispersion relations (Energy bands)
positive_passages.docid: 145651
positive_passages.text: Density of states for arbitrary dispersion relation
negative_passages.docid: 108464
negative_passages.text: Necessary and sufficient conditions for a function to be the Wigner function of state
negative_passages.docid: 154513
negative_passages.text: Do stationary states with higher energy necessarily have higher position-momentum uncertainty?
negative_passages.docid: 14166
negative_passages.text: Hilbert space of harmonic oscillator: Countable vs uncountable?
negative_passages.docid: 121197
negative_passages.text: Eigenvalues and eigenfunctions of the exponential potential $ V(x)=\exp(|x|) $
negative_passages.docid: 7032
negative_passages.text: Explain reflection laws at the atomic level
negative_passages.docid: 54099
negative_passages.text: What are the eigenvalues of $\operatorname{ad}x$?
negative_passages.docid: 98535
negative_passages.text: Are eigenstates of the position operator continuous?
negative_passages.docid: 21805
negative_passages.text: Scattering, Perturbation and asymptotic states in LSZ reduction formula
negative_passages.docid: 83967
negative_passages.text: Why is $|\Psi|^2$ the probability density?
negative_passages.docid: 157297
negative_passages.text: Should the eigenkets be weighted in $|P\rangle = \sum\limits_{r}|\xi^r\rangle$?
negative_passages.docid: 128361
negative_passages.text: The kernel and range of the powers of a self-adjoint operator
negative_passages.docid: 22958
negative_passages.text: Is there such a thing as charge density in quantum mechanics?
negative_passages.docid: 54548
negative_passages.text: Expectation value for $\frac{1}{r}$ in the $|nlm\rangle$ state of hydrogen
negative_passages.docid: 59657
negative_passages.text: On the nature of the collapse of the wave function
negative_passages.docid: 138832
negative_passages.text: Expansion coefficients of an arbitrary state in the Hilbert space of one-particle states
negative_passages.docid: 154508
negative_passages.text: The energy method for $u_{tt}-du_t-u_{xx}=0, (0,1)\times(0,T) $