Equivalence of a harmonic oscillator to a free particle and Eisenhart lift

Shailesh Dhasmana, Abhijit Sen, Zurab K. Silagadze

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

It is widely known in quantum mechanics that solutions of the Schrödinger equation (SE) for a linear potential are in one-to-one correspondence with the solutions of the free SE. The physical reason for this correspondence is Einstein's principle of equivalence. What is usually not so widely known is that solutions of the Schrödinger equation with harmonic potential can also be mapped to the solutions of the free Schrödinger equation. The physical understanding of this equivalence is not known as precisely as in the case of the equivalence principle. We present a geometric picture that will link both of the above equivalences with one constraint on the Eisenhart metric.

Язык оригиналаанглийский
Номер статьи168623
ЖурналAnnals of Physics
Том434
DOI
СостояниеОпубликовано - ноя 2021

Предметные области OECD FOS+WOS

  • 1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ

Fingerprint

Подробные сведения о темах исследования «Equivalence of a harmonic oscillator to a free particle and Eisenhart lift». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать