The book deals with pure Nanostructure Physics of a Quantum Well (QW) of general shape adjacent to a tunnel barrier of general shape. On the other side of the QW, we have a barrier of semi-infinite thickness. Using WKB approximation method, the book presents thorough and complete analytical calculations leading to 2 transcendental equations obeyed by quasi-bound energy levels of the non-isolated QW. The 2 general equations have been applied to the cases when the tunnel barrier is rectangular, moderately biased rectangular, triangular and Schottky barrier. Thorough numerical investigations have been reported to bring out parametric variations of the energy levels. For some values of tunnel barrier height and width, the energy levels split into doublets. The book contains a thorough introduction to WKB method; the book also contains necessary background on Microelectronics and Nanostructure Physics to enable readers assimilate the book completely. The 1st 3 chapters are introductory while chapter 4 and 5 are exclusive and original contributions of the book.