On his return to India in 1964, he resumed his career at TIFR and served the institution in such various capacities as a professor (1970–81), senior professor (1981–90), and a professor of eminence till his superannuation from service in 2003. During this period, he held the directorship of the institution from 1987 to 1997. Post-retirement, he continued his association with TIFR as a C. V. Raman Research Professor of the Indian National Science Academy till 2008.[3] In between, he had two short stints at Rockefeller University, first as a visiting associate professor during (1966–67) and then as a visiting professor during (1971–72).[2] When the Indian Physics Association and the Institute of Physics jointly introduced an exchange lecture program in honor of John Douglas Cockcroft, Ernest Thomas Sinton Walton and Homi J. Bhabha in 1998, he was the first to deliver the Homi Bhabha lecture in 2000.[2][6]
Singh's studies spanned the fields of high energy physics, quantum mechanics and particle physics and he has made reportedly significant contributions on S-matrix theory and symmetry theories of hadrons.[8] His collaboration with Virendra Gupta resulted in the development of Gupta-Singh coupling constant sum rule[9] related to baryon decuplet[10] and he worked along M. A. Beg to develop the Beg-Singh SU (6) mass formula.[11] His theoretical work on scattering amplitudes have helped widen the understanding of high energy total cross-sections in hadronic processes.[12] He proposed Singh lemma, a method of calculating the threshold value of the amplitude from the gauge condition.[13][14] His other contributions include Singh-Pais theorems and Singh-Roy bounds related to compton scattering and scattering amplitudes.[15] His studies have been documented by way of a number of articles[note 2] and the article repository of the Indian Academy of Sciences has listed 84 of them.[16] Besides, he has contributed chapters to books published by others[17][18] including a lecture in a book edited by B. V. Sreekantan[19] and Scientific Realism and Classical Physics, a general article published in History and Philosophy of Physics[20] published by Indian Council of Philosophical Research.[21] His work has also drawn citations from other authors.[22][23]
Professional associations
On the academic front, he was instrumental in organizing a school of research on theoretical physics at Tata Institute of Fundamental Research, along with Bhalchandra Udgaonkar.[3] He has been a member of the editorial boards of Indian Journal of Pure and Applied Physics (1974–76 & 1989–91), Indian Journal of Pure and Applied Mathematics (1975–77), Pramana (1982–89), Comments on Nuclear and Particle Physics (1985–92) and Asia-Pacific Physics Newsletter (1990).[2] He chaired the board of research in nuclear science of the Department of Atomic Energy and sat in the commission on particles and fields of International Union of Pure and Applied Physics from 1986 to 1993.[3] He was the vice president of the Indian Physics Association for 1983–84 and presided the association from 1985 to 1987.[24] He served as the chairman of the Mumbai chapter of Society for Applied Microwave Electronics Engineering & Research (SAMEER) of the Ministry of Electronics and Information Technology (1993–97) and the Nehru Science Centre (1994–96). He has been associated with the Indian Academy of Sciences as a council member (1977–82) and with National Academy of Sciences, India as the president of its Mumbai chapter (2001–07). He has also been a member of the councils of a number of institutes and associations which included Indian Statistical Institute (1986–88), Saha Institute of Nuclear Physics (1987–92), Indian Science News Association (1994–2001) and National Council of Science Museums (1994–98).[2]
Proceedings of the Tenth International Workshop on the Physics of Semiconductor Devices : (December 14 – 18, 1999) [New Delhi]. 2(2000). Allied Publishers. 2000. pp. 1459–. ISBN978-81-7023-998-7.
Spenta R. Wadia (2007). The Legacy of Albert Einstein: A Collection of Essays in Celebration of the Year of Physics. World Scientific. pp. 165–. ISBN978-981-277-271-8.
B.V. Sreekantan (2010). Remembering Einstein: Lectures on Physics and Astrophysics. Oxford University Press. p. 164. ISBN978-0198064497.
P. Ghosh (V. Singh – chapter) (2008). History and Philosophy of Physics. Indian Council of Philosophical Research. arXiv:0805.1780. Bibcode:2008arXiv0805.1780S.