论文标题
量子力学变化不可逆转的问题
The Problem of Irreversible Change in Quantum Mechanics
论文作者
论文摘要
我证明,如果在封闭的量子系统中发生更改,以便其状态与过去或将来的所有状态完全区分,则哈密顿量为$ \ widehat {h} = - i \ hbar \ frac \ frac {\ partial \} {\ partial \} {\ partialτ} $。时间操作员$ \widehatτ$可以定义为其规范的共轭。这种哈密顿量通常被拒绝,因为它没有基础状态,但我表明,即使是一种弱的不可逆性形式也与基础状态不一致。 正确的选择是什么,世界上的哈密顿量为$ -i \ hbar \ frac {\ partial \} {\partialτ} $,还是更改是可逆的?
I prove that, if a change happens in a closed quantum system so that its state is perfectly distinguishable from all past or future states, the Hamiltonian is $\widehat{H}=-i\hbar\frac{\partial\ }{\partialτ}$. A time operator $\widehatτ$ can be defined as its canonical conjugate. This Hamiltonian is usually rejected because it has no ground state, but I show that even a weaker form of irreversibility is inconsistent with a ground state. What is the right choice, that the world's Hamiltonian is $-i\hbar\frac{\partial\ }{\partialτ}$, or that changes are reversible?