Intensity

Sri Ramana intensely trying to find out what death meant.
Sri Ramakrishna Paramahamsa's intense devotion to Mother Kali.
Swami Vivekananda's intense search to seek out a person who has seen/can show god.
Sri Papaji seeking a person who has seen/can show god & his intense Krishna-nama japa.
Sri Lakshmana Swamy's intense nama-japa, pranayama and later self-inquiry in Sri Ramana's presence.
Sri Saradamma's intense devotion to Sri Lakshmana Swamy.
Sri Nisargadatta Maharaj's one pointed following of his Guru's words to keep attention on "I am".
Sri Muruganar following Bhagavan Ramana's words.
Sri Annamalai Swamy's one pointed Living by the words of Bhagavan Ramana.

These are examples of what an intense desire can result in.
Om Sri Ramanarpanamastu.