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PHYS 731-001: Quantum Mechanics II

Tao Zhou

Published Jan 1, 2018• 0 citations
OpenAlex

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Reply to ‘Comment on “Overcoming misconceptions in quantum mechanics with the time evolution operator”’

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We contend that the statement attributing to us the implication that the wave functions ?I(x, t) and ?II(x, t) are different cannot not be logically supported. On the contrary, throughout our paper ?Overcoming misconceptions in quantum mechanics with the time evolution operator? (Garcia Quijas and Ar?valo Aguilar 2007 Eur. J. Phys. 28 147) we constructed an argument to give support to the statement that the two wave functions ?I(x, t) and ?II(x, t) are the same. In other words, in our paper we really did appreciate that methods I and II lead to identical results.

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Related Articles Quantum time of arrival Goursat problem J. Math. Phys. 53, 043702 (2012) Effective-mass Klein-Gordon-Yukawa problem for bound and scattering states J. Math. Phys. 52, 092101 (2011) Efficient quantum trajectory representation of wavefunctions evolving in imaginary time J. Chem. Phys. 135, 034104 (2011) Green's function for the time-dependent scattering problem in the fractional quantum mechanics J. Math. Phys. 52, 042103 (2011) AKNS hierarchy, Darboux transformation and conservation laws of the 1D nonautonomous nonlinear Schrodinger equations J. Math. Phys. 52, 043502 (2011)

•Jan 1, 2012•0 citations
We contend that the statement attributing to us the implication that the wave functions ?I(x, t) and ?II(x, t) are different cannot not be logically supported. On the contrary, throughout our paper ?Overcoming misconceptions in quantum mechanics with the time evolution operator? (Garcia Quijas and Ar?valo Aguilar 2007 Eur. J. Phys. 28 147) we constructed an argument to give support to the statement that the two wave functions ?I(x, t) and ?II(x, t) are the same. In other words, in our paper we really did appreciate that methods I and II lead to identical results.
Related Articles Quantum time of arrival Goursat problem J. Math. Phys. 53, 043702 (2012) Effective-mass Klein-Gordon-Yukawa problem for bound and scattering states J. Math. Phys. 52, 092101 (2011) Efficient quantum trajectory representation of wavefunctions evolving in imaginary time J. Chem. Phys. 135, 034104 (2011) Green's function for the time-dependent scattering problem in the fractional quantum mechanics J. Math. Phys. 52, 042103 (2011) AKNS hierarchy, Darboux transformation and conservation laws of the 1D nonautonomous nonlinear Schrodinger equations J. Math. Phys. 52, 043502 (2011)