A method for extracting minerals from a narrow-vein deposit by thermal fragmentation is provided. The method includes locating the vein and determining the extent thereof to form the boundaries of a stope. Access to the stope is prepared by forming a panel having an upper drift and a lower drift. Equipment for thermal fragmentation, including a burner, is installed from the upper drift. The burner moves along the panel surface in a sweeping motion, while rock chips spalled from the rock panel surface are collected. Multiple panels for processing can be realised, with lower panels being processed before upper panels, by excavating a sub-level to separate the lower and upper panels.