Prog. Theor. Phys. Vol. 66 No. 5 (1981) pp. 1525-1538

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On the Time Operator in Quantum Mechanics

— Three Typical Examples —

Tetsuo Gotō, Katsuhito Yamaguchi and Naoshi Sudō

Atomic Energy Research Institute, College of Science and Technology, Nihon University, Tokyo 101

(Received April 18, 1981)

Abstract:

The so-called time operator in quantum mechanics which may be regarded as a coordinate conjugate to Hamiltonian operator is studied. Three typical examples of the time operators in one-dimensional problem are explicitly obtained; that is, a free particle, a harmonic oscillator and a particle in a square well potential. Our procedure to construct the time operator seems to be useful in a more general case. Qualitative nature of the time operator may be understood from the three examples.

URL : http://ptp.ipap.jp/link?PTP/66/1525/
DOI : 10.1143/PTP.66.1525

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Citing Article(s) :

Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 1915-1925 :
On the Time Operator in Quantum Mechanics. II

Tetsuo Gotō, Shigefumi Naka and Katsuhito Yamaguchi