Unit testing is testing a module by the developer which was 
developed by him.and white box testing is alos done by the 
developer for checking the functions,basic path 
coverage,loops of the application.IF tester has some 
programming knowledge then he can also do the white-box 
testing.

Correct me if i am wrong

white box testing is a coding level testing technique. 
during integration of all programms and modules technical 
testers will conduct white box testing. it is also known as 
glass box testing/clear box testing/program 
phase/structural logic testing/fagun testing. white box 
testing classified into 3 types they are 
1.unit testing:
one program testing is called unit testing. it is also 
known as micro testing/ component testing/program tesging.
it is also classified into 3 types:
1.execution testing:
run the programm under developer configuration to check 
whether the program correctly responding or not.
2.operation testing: run the programm under customer 
expected configuration to check whether the programm is 
correctly responding or not.customer expected configuration 
(OS, compilers, browser, other system s/w)
3.mutuation testing: mutuation means a change in a 
programm. after making changes in programm technical tester 
will go to run the programm in both configurations 
(customer and developer) to check whether the programm is 
correclty responding or not with respect to changes.

other two white box testings are:
module testing and integration testing. module testing is 
nothing but testing couple of programmes. during 
integration of main and sub modules technical testers will 
conduct integration testing.

whitebox testing:
       whitebox testing means to test the internal 
functionality.it test coding....Every whitebox tester 
should have coding knowledge.....
      
Unit testing: 
        Unit testing means to test the module wise 
testing ..It test single pice of code or module....
some times it test whitebox test engineer or developer
    Unittesting contains fallowing coverages
1.statment coverage
2.Loop coverage
3.branch coverage
4.functional coverage
statment coverage:  
               This statment test the statment is correct 
or not
 loop coverage: this statment test the loop is correctly 
working or not like if,while ,whileloop etc
branch stament :this statment test the conditional statment 
working correctly or not
functional coverage: the functional staments working 
correctly or not
    this is the unit testing

unit testing:testing  the module of the application and it
is done by the developer....
white box testing :testing the application that is to go
through the code .it is done by the developers,there are
different types of white box testing loop testing,condition
testing,performance testing,memory testing etc..white box
testing is also called as structured testing,closed
testing,unit testing,glass testing

White Box testing is a testing technique.

Unit testing is a testing level.

White box testing technique is used in unit testing level.

   Its because,in Unit testing we test the individual 
module logic(Code).White box testing is atechnique used to 
test the code.so we use white box testing in unit testing 
level...