How to remove duplicate rows in SQL Server 2008 when no key is present

CREATE TABLE TestTable (
   Column1 varchar(1),
   Column2 int
);

INSERT INTO TestTable VALUES ('A', 1);
INSERT INTO TestTable VALUES ('A', 1); -- duplicate
INSERT INTO TestTable VALUES ('A', 2);
INSERT INTO TestTable VALUES ('B', 1);
INSERT INTO TestTable VALUES ('B', 2);
INSERT INTO TestTable VALUES ('B', 2); -- duplicate
INSERT INTO TestTable VALUES ('C', 2);

SELECT *
FROM   TestTable a
ORDER BY a.Column1, a.Column2;

DELETE
FROM  TestTable
WHERE TestTable.%%physloc%%
      NOT IN (SELECT MIN(b.%%physloc%%)
              FROM   TestTable b
              GROUP BY b.column1, b.Column2);

SELECT *
FROM   TestTable a
ORDER BY a.Column1, a.Column2;

I've been a programmer since mid 80's using languages like assembler, C/C++, PL/I (mainframe environment), pascal, VB (I know, I know, no comments please) and C# and utilizing different techniques and tools.
 
However I'm specialized in databases and database modeling. Mostly I have used products like Oracle (from version 6), SQL Server (from version 4.2), DB2 and Solid Server (nowadays an IBM product).
 
For the past 10+ years my main concerns have been dealing with different business processes and how to create software to implement and improve them. At my spare time (what ever that actually means) I'm also teaching and consulting on different areas of database management, development and database oriented software design.