An index definition may specify an operator
   class for each column of an index.
CREATE INDEX name ON table (column opclass [, ...]);
   The operator class identifies the operators to be used by the index
   for that column.  For example, a B-tree index on four-byte integers
   would use the int4_ops class; this operator
   class includes comparison functions for four-byte integers.  In
   practice the default operator class for the column's data type is
   usually sufficient.  The main point of having operator classes is
   that for some data types, there could be more than one meaningful
   ordering.  For example, we might want to sort a complex-number data
   type either by absolute value or by real part.  We could do this by
   defining two operator classes for the data type and then selecting
   the proper class when making an index.  There are also some
   operator classes with special purposes:
   
-       The operator classes box_ops and
      bigbox_ops both support R-tree indexes on the
      box data type.  The difference between them is
      that bigbox_ops scales box coordinates down,
      to avoid floating-point exceptions from doing multiplication,
      addition, and subtraction on very large floating-point
      coordinates.  If the field on which your rectangles lie is about
      20 000 units square or larger, you should use
      bigbox_ops.
      
  
    The following query shows all defined operator classes:
    
SELECT am.amname AS acc_method,
       opc.opcname AS ops_name
    FROM pg_am am, pg_opclass opc
    WHERE opc.opcamid = am.oid
    ORDER BY acc_method, ops_name;
    
    It can be extended to show all the operators included in each class:
    
SELECT am.amname AS acc_method,
       opc.opcname AS ops_name,
       opr.oprname AS ops_comp
    FROM pg_am am, pg_opclass opc, pg_amop amop, pg_operator opr
    WHERE opc.opcamid = am.oid AND
          amop.amopclaid = opc.oid AND
          amop.amopopr = opr.oid
    ORDER BY acc_method, ops_name, ops_comp;