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Eigenfunctions v.s. eigenstates - Physics Stack Exchange Is there a difference between "eigenfunction" and "eigenstate"? They seem to be used interchangeably in texts, which is confusing. My guess is that an "eigenfunction" has an …
Eigenfunctions of $C\\psi(x) = \\psi^*(x)$ - Physics Stack Exchange 6 Oct 2022 · I am considering the complex conjugation operator Cψ(x) = ψ ∗ (x). As C2 is the identity operator, I've deduced that the possible eigenvalues of the C are ± 1. To determine the …
Commuting operators require simultaneous eigenfunctions? 26 Oct 2014 · Since the commutator acting on an eigenfunction cannot equal zero there can't be a shared eigenfunction. But how do we know that we don't have the same situation that …
What is eigenvalue and eigenfunction in quantum mechanics? 6 Dec 2018 · Each eigenfunction (of the Hamiltonian) is the state of the system when its energy is equal to the associated eigenvalue. This can be compared to the study of a vibrating string in …
quantum mechanics - Why is the set of eigenfunctions of a … 2 Oct 2018 · The same question has troubled me. Regarding the statement that there is always such a complete set of eigenvectors for H^ H ^, it can be found in Levine's Quantum Chemistry …
quantum mechanics - When Eigenfunctions/Wavefunctions are … You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation and how do I …
How to find eigenfunctions given the wave function? 24 Nov 2007 · Namely, an eigenfunction \psi of an operator A is a function such that A\psi = \lambda\psi for some (complex) number \lambda, which we call the eigenvalue. For example, if …
Can we solve the general eigenfunction of - Physics Stack … 24 Jul 2020 · Can we get the general eigenfunction of Lx L x for state |l m | l m (which means Lxψ = ℏmψ L x ψ = ℏ m ψ) using the same method? I know for certain cases (or each case), the …
什么是「本征函数」? - 知乎 在本征值 的介绍中,用到了 本征函数: A\xi=\lambda\xi, 在此,为了将自变量换成我们常见的形式,用 f (x) 替换 \xi ,本征函数为 Af (x)=\lambda f (x) 。 A 是一种线性变换,可以理解为一种 …
Generalized Eigenfunctions - Physics Forums 1 Introduction We will consider linear operators in complex Hilbert Spaces. To fix notation, generally we will denote any Hilbert Space by H, possibly with a subindex. On H, denote the …