Magento 1.4.1 category filter

I have to show the list of products added to a particular category on ajax request. So when i tried to use category filter method it shows fatal error. Using magento 1.4.1

Fatal error: Uncaught exception 'PDOException' with message 'SQLSTATE[42S22]: Column not found: 1054 Unknown column 'e.category_ids' in 'where clause'' in /var/www/html/wc2/lib/Zend/Db/Statement/Pdo.php:228 Stack trace:

#0 /var/www/html/wc2/lib/Zend/Db/Statement/Pdo.php(228): PDOStatement->execute(Array)

#1 /var/www/html/wc2/lib/Zend/Db/Statement.php(300): Zend_Db_Statement_Pdo->_execute(Array)

#2 /var/www/html/wc2/lib/Zend/Db/Adapter/Abstract.php(468): Zend_Db_Statement->execute(Array) > #3 /var/www/html/wc2/lib/Zend/Db/Adapter/Pdo/Abstract.php(238): Zend_Db_Adapter_Abstract->query('SELECT count(DI...', Array)

#4 /var/www/html/wc2/lib/Varien/Db/Adapter/Pdo/Mysql.php(333): Zend_Db_Adapter_Pdo_Abstract->query('SELECT count(DI...', Array)

#5 /var/www/html/wc2/lib/Zend/Db/Adapter/Abstract.php(799): Varien_Db_Adapter_Pdo_Mysql->query('SELECT count(DI...', Array)

#6 /var/www/html/wc2/lib/Varien/Data/Collection/Db.php(210): Zend_Db_Adapter_Abstract->fetchOne('SELECT count(DI...', Array)

#7 /var/www/html/wc2/lib/Varien/D开发者_C百科ata/Collec in /var/www/html/wc2/lib/Zend/Db/Statement/Pdo.php on line 234

This is the code i added on ajax file

$_productCollection = Mage::getModel('catalog/product')->getCollection()
->addPriceData()       
->addAttributeToSort('name', 'ASC')
->addAttributeToFilter('category_ids',array('finset'=>'604'))
->addCategoryFilter('category_id','604')
->setPageSize($limit)
->setPage($p, $limit)       
->addAttributeToSelect('*');



$_productCollection = Mage::getResourceModel('reports/product_collection')
   ->addAttributeToSelect('*')
   ->setPageSize($limit)
   ->setPage($p, $limit)    
   ->addAttributeToFilter('category_ids',array('finset'=>'66,67'));
foreach ($_productCollection as $_product):
    echo $_product->getId();
endforeach;

Neither of them working. Both of them showing same error. Please someone help me out. Thanks

---

$category = Mage::getModel('catalog/category')->load(604);

$_productCollection = Mage::getModel('catalog/product')->getCollection()
->addPriceData()       
->addAttributeToSort('name', 'ASC')
->addCategoryFilter($category)
->setPageSize($limit)
->setPage($p, $limit)       
->addAttributeToSelect('*');

This filter should work.