经典系统中的自举微正则系综
Bootstrapping microcanonical ensemble in classical system
摘要:
指出Han等人提出的量子力学中的Bootstrap程序可归结为对同一哈密顿量在$\hbar \to 0$极限下的微正则系综的Bootstrap研究。在极限情况下,量子力学群岛对于非谐振子来说变成了一条极细的线。对于双阱势,出现了$E\le 0$中的半岛。
英文摘要:
We point out that the bootstrap program in quantum mechanics proposed by Han et al reduces to a bootstrap study of a microcanonical ensemble of the same Hamiltonian in the $\hbar \to 0$ limit. In the limit, the quantum mechanical archipelago becomes an extremely thin line for an anharmonic oscillator. For a double-well potential, a peninsula in $E\le 0$ appears.
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