Prog. Theor. Phys. Vol. 85 No. 3 (1991) pp. 463-479

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Quantum Dynamics and Non-Inertial Frames of Reference. I

— Generality —

Shin Takagi

Department of Physics, Tohoku University, Sendai 980

(Received October 1, 1990)

Abstract:

The general framework of a time-dependent scale transformation as applied to non-relativistic time-dependent Schrödinger equations is described. The nature of the transformation is clarified by comparing it with a time-dependent translation and rotation. Particular attention is paid to the associated gauge transformation and the resulting harmonic inertial force. Corresponding classical results are also displayed. This work intends to pave the way for various applications to be presented in the subsequent papers of this series.

URL : http://ptp.ipap.jp/link?PTP/85/463/
DOI : 10.1143/PTP.85.463

References:

See, e.g., H. Goldstein, Classical Mechanics (Addison-Wesley, Reading, 1965), p. 183.
See, e.g., C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), §§ 7.4 and 10.1.
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Citing Article(s) :

Progress of Theoretical Physics Vol. 85 No. 4 (1991) pp. 723-742 :
Quantum Dynamics and Non-Inertial Frames of References. II

Shin Takagi
Progress of Theoretical Physics Vol. 86 No. 4 (1991) pp. 783-798 :
Quantum Dynamics and Non-Inertial Frames of Reference. III

Sin Takagi
Progress of Theoretical Physics Vol. 86 No. 6 (1991) pp. 1289-1299 :
Imported Symmetry and Two Breathing Modes in Chern-Simons Theory with External Magnetic Field

Masahiro Hotta
Progress of Theoretical Physics Supplement No.107 (1992) pp. 1-40 :
Self-Dual Chern-Simons Solitons

R. Jackiw and So-Yong Pi
Progress of Theoretical Physics Supplement No.110 (1992) pp. 375-388 :
Where Has the Conformal Symmetry of Anyons Gone in a Magnetic Field?

Tadashi Awaji and Masahiro Hotta