2020年3月24日 · Given an operator, (for example, the Hamiltonian, or the Schrödinger Equation) an eigenstate is a (non-zero) state that, when applied on the operator, results of itself multiplied by some constant factor (that is known as the eigenvalue).

2017年2月20日 · 1) An eigenstate is one where you get the original function back, usually with some multiple, which is called the eigenvalue. 2) An eigenstate is a state of a particle with a definite momentum or position. For example, in the single slit experiment monochromatic light is …

2007年10月23日 · I'm a little bit confused in general about what an eigenstate is. So say we have something like: H|n>=hw(N+1/2)|n> |n> is the eigenket, hw(N+1/2) is the eigenvalue, but what exactly is an eigenstate? The entire question asks if there are eigenstate to the creation operator and to prove it. I thought that a*|n>=sqrt(n+1)|n+1> Isnt that the ...

2009年2月25日 · An eigenstate is a state of a physical system that is described by a specific set of quantum numbers, such as energy or spin. It is a state in which the system will remain if left undisturbed, and it represents a stable, stationary state of the system.

2015年11月9日 · Hi. I am just starting to self-study QFT. Have been looking at the non-relativistic case of particles in a box. Have come across creation operators in the occupation number representation which create a particle in specific momentum state. But I thought in a rigid box there are no momentum...

2021年8月10日 · If a system is in an eigenstate of energy (I use the eigenstate as a basis) it remains in this state forever. But if I describe the system with a different set of basis states (not eigenstates) the system can be found in AN energy eigenstate with some probability and than it can move to an another state.

2020年10月15日 · A beam of particles is prepared in a momentum eigenstate ##\ket{p_0}##. The beam is directed to a shutter that is open for a finite time ##\tau##. a) Find the wave function of the system immediately after passing through the shutter. b) Find the momentum probability distribution of the beam after the shutter Relevant Equations

2020年12月20日 · The author then states that the wavefunction in this basis ##\psi(\omega) = \langle \omega | \psi \rangle## does not have to be even or odd, even if ##|\psi\rangle## is a parity eigenstate, and leaves checking this statement to the reader.I'm not completely sure about this, but I thought about the harmonic oscillator (or any 1-particle ...

2016年11月9日 · Mathematically, a position eigenstate is described by a Dirac delta function; a position eigenstate with eigenvalue ##x## is ##\delta(x)##. But the Dirac delta "function" is not actually a function; heuristically, this is because it has zero value at all points but one, and an infinite value at that one point, whereas a true function can only ...

2013年11月27日 · A hydrogen atom eigenstate is a quantum state of the hydrogen atom that describes the distribution of the electron in the atom. It is a solution to the Schrödinger equation that characterizes the energy, momentum, and other physical properties of …