A dense domain for T₋₃,₃ in L²(−∞,∞)

Authors

Joseph Raphael R. Bunao National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

This paper attempts to construct a domain D(T_-3,3) for the operator T_-3,3 in the Hilbert Space H = L² (−∞, ∞). The domain constructed is a linear span of the basic vectors φ^(e\o) satisfying suitable conditions so that |(T_-3,3φ^(e\o))|2 < ∞. It was then shown that D(T_-3,3) is dense in L²(−∞, ∞) making T_-3,3 a densely-defined operator.

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Issue

2013: Proceedings of the 31st Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP2013-1B-2

Section

Theoretical Physics

Published

2013-10-23

How to Cite

[1]

JRR Bunao and EA Galapon, A dense domain for T₋₃,₃ in L²(−∞,∞), Proceedings of the Samahang Pisika ng Pilipinas 31, SPP2013-1B-2 (2013). URL: https://proceedings.spp-online.org/article/view/SPP2013-1B-2.